The properties of matched streams, the simultaneous operation time, and the distance between integrated processes, are the main factors which determine whether the direct integration is feasible or not. According to w...The properties of matched streams, the simultaneous operation time, and the distance between integrated processes, are the main factors which determine whether the direct integration is feasible or not. According to whether such synthetic integration is economically better than the separate integration of each process, a mathematical formulation is established. The retrofit of reforming and arene processes in a certain petrochemical factory, which are independent each other, is chosen as a case study. By only considering the simultaneous operation time, two retrofit designs are proposed: one is that each of the two processes is separately integrated by itself, and the other is that the two processes are integrated comprehensively. Under different simultaneous operation hours, the energy-saving effects and the economic profits of the two designs are calculated, and furthermore, the critical simultaneous operation time for direct heat integration of the two processes is obtained. When the actual simultaneous operation time of the two processes is longer than the critical value, the direct heat integration of the two processes is better economically, and otherwise the separate heat integration for each process should be considered.展开更多
Baosteel's 60000 m……3/h air separation unit (ASU), the first domestically-integrated unit of its class, is a milestone in the Chinese air separation industry. In this paper,the process characteristics of the unit...Baosteel's 60000 m……3/h air separation unit (ASU), the first domestically-integrated unit of its class, is a milestone in the Chinese air separation industry. In this paper,the process characteristics of the unit and the application of the original techniques are expatiated. Some difficulties in the process design, the risk control, the quality control, the control system integration and the system commissioning are analyzed and appraised. The mode of the project integration and innovation, the cooperation among industries and the user-orientated project management mode are introduced. Finally,the successful experiences in innovation are summarized with the focus on the integration of the project.展开更多
Through summary and extraction of current steelmaking design,process and equipment technologies and production technologies for 300 t grade converters in Baosteel,the article analyzes and elaborates the significance o...Through summary and extraction of current steelmaking design,process and equipment technologies and production technologies for 300 t grade converters in Baosteel,the article analyzes and elaborates the significance of independent integration of 300 t grade converters in Zhanjiang,major targets of the independent integration in converter process technologies,equipment packages and controls,the innovated critical technologies and comparison with overseas advanced technologies,major technical difficulties in the integration in Baosteel and their solutions,as well as general mindset and final objectives of the project.The total integration of technology for Shanghai No.1 Steel Making Plant of Baosteel was undertaken by Nippon Steel.And Kawasaki Steel was responsible for the total integration of technology for 4# and 5# converters of Shanghai No.2 Steelmaking Plant of Baosteel.Based on digestion,absorption and innovation of the introduced technologies,Baosteel has firstly achieved the independent integration of 6# converter,5# RH and 3# LF projects in the Shanghai No.2 Steelmaking Plant of Baosteel.Therefore, Baosteel shall take advantages of the favorable conditions and experiences and advanced steel making technologies of Baosteeel to master the imported new steelmaking technologies in the world and then form the advanced complete set steel making technologies and equipment at home and abroad.The achievement of independent integration of Zhanjiang Steel Making Project will make the breakthrough for the construction of large - sized steel making plant in Baosteel.300 t converter technology integration is undertaken by Baosteel independently in instead of by the foreign side in the past.展开更多
In the context of the COVID-19 outbreak,online teaching has spread rapidly.However,the existing research on moral and self-cultivation teaching methods for online courses remains inadequate.This paper proposes an“ind...In the context of the COVID-19 outbreak,online teaching has spread rapidly.However,the existing research on moral and self-cultivation teaching methods for online courses remains inadequate.This paper proposes an“independence+integration”moral and self-cultivation teaching method for online courses.The method divides the targets of moral and self-cultivation teaching into independent and integrated ones,and fits them both explicitly and implicitly into the online teaching of specialized courses in higher education.When this method was employed to teach engineering mechanics to industrial design students at a college in China,it effectively increased the students’acceptance of online courses as well as their understanding of moral and self-cultivation knowledge and the course itself,and improved the quality of online teaching.The method provides a new way of thinking about online moral and self-cultivation teaching.展开更多
Independent component analysis( ICA) has been widely applied to the monitoring of non-Gaussian processes. Despite lots of applications,there is no universally accepted criterion to select the dominant independent comp...Independent component analysis( ICA) has been widely applied to the monitoring of non-Gaussian processes. Despite lots of applications,there is no universally accepted criterion to select the dominant independent components( ICs). Moreover, how to determine the number of dominant ICs is still an open question. To further address this issue,a novel process monitoring based on IC contribution( ICC) is proposed from the perspective of information storage. Based on the ICC with each variable,the dominant ICs can be obtained and the number of dominant ICs is determined objectively. To further preserve the process information, the remaining ICs are not useless. As a result,all the ICs are regarded to be divided into dominant and residual subspaces. The monitoring models are established respectively in each subspace, and then Bayesian inference is applied to integrating monitoring results of the two subspaces. Finally, the feasibility and effectiveness of the proposed method are illustrated through a numerical example and the Tennessee Eastman process.展开更多
The aim of this present paper is to establish some new integrodifferential inequalities of Gronwall type involving functions of one independent variable which provide explicit bounds on unknown functions. The inequali...The aim of this present paper is to establish some new integrodifferential inequalities of Gronwall type involving functions of one independent variable which provide explicit bounds on unknown functions. The inequalities given here can be used in the analysis of a class of differential equations as handy tools.展开更多
In the case of the given design variables and constraint functions, this paper is concerned with the rapid overall parameters design of trajectory, propulsion and aerodynamics for long-range ballistic missiles based o...In the case of the given design variables and constraint functions, this paper is concerned with the rapid overall parameters design of trajectory, propulsion and aerodynamics for long-range ballistic missiles based on the index of the minimum take-off mass.In contrast to the traditional subsystem independent design, this paper adopts the research idea of the combination of the subsystem independent design and the multisystem integration design.Firstly, the trajectory, propulsion and aerodynamics of the subsystem are separately designed by the engineering design, including the design of the minimum energy trajectory, the computation of propulsion system parameters, and the calculation of aerodynamic coefficient and dynamic derivative of the missile by employing the software of missile DATCOM. Then, the uniform design method is used to simplify the constraint conditions and the design variables through the integration design, and the accurate design of the optimized variables would be accomplished by adopting the uniform particle swarm optimization(PSO) algorithm. Finally, the automation design software is written for the three-stage solid ballistic missile. The take-off mass of 29 850 kg is derived by the subsystem independent design, and 20 constraints are reduced by employing the uniform design on the basis of 29 design variables and 32 constraints, and the take-off mass is dropped by 1 850 kg by applying the combination of the uniform design and PSO. The simulation results demonstrate the effectiveness and feasibility of the proposed hybrid optimization technique.展开更多
The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit ...The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations.展开更多
J-integral has served as a powerful tool in characterizing crack tip status. The main feature, i.e. path- independence, makes it one of the foremost fracture parameters. In order to remain the path- independence for f...J-integral has served as a powerful tool in characterizing crack tip status. The main feature, i.e. path- independence, makes it one of the foremost fracture parameters. In order to remain the path- independence for fluid-driven cracks, J-integral is revised. In this paper, we present an extended J-in- tegral explicitly for fluid-driven cracks, e.g. hydraulically induced fractures in petroleum reservoirs, for three-dimensional (3D) problems. Particularly, point-wise 3D extended J-integral is proposed to char- acterize the state of a point along crack front. Besides, applications of the extended J-integral to porous media and thermally induced stress conditions are explored. Numerical results show that the extended J- integral is indeed path-independent, and they are in good agreement with those of equivalent domain integral under linear elastic and elastoplastic conditions. In addition, two distance-independent circular integrals in the K-dominance zone are established, which can be used to calculate the stress intensity factor (SIF).展开更多
The Tanzania Zambia Railway stretches 1,860 kilometers from the East African Indian Ocean port of Dar es Salaam in Tanzania to New Kapiri-Mposhi in land locked Zambia.It is defined as a bi-national organization as opp...The Tanzania Zambia Railway stretches 1,860 kilometers from the East African Indian Ocean port of Dar es Salaam in Tanzania to New Kapiri-Mposhi in land locked Zambia.It is defined as a bi-national organization as opposed to either transnational or multinational because it is jointly owned and managed by the Governments of Tanzania and Zambia.Its construction was made possible by Chinese interest-free loan to the two Governments.Few development projects in Africa have been charged with as much political and ideological dynamite as Tanzania Zambia Railway.To the Western powers,angry that the Chinese had entered territory which they considered their own preserve,it was a Red Railway intended to thrust communism into the very heart of Africa.For the white regimes in Southern Africa,grimly attempting to hold back demands for majority rule,it was seen as Africa’s Ho Chi Minh Trail,carrying guerrilla further,armed with Chinese thoughts and weapons to the banks of the Zambezi River.The Chinese regarded the project as a Friendship Route to strengthen the new African states against the forces of imperialism and for Tanzania and Zambia it was a Freedom Railway,which should prove an instrument in increasing their independence.These reactions underpin not only the complexity of the establishment and management of a bi-national organization but also present challenges to the two national trade unions on how best they can represent their members.Industrial relations literature has cited differences in countries’historical,social,political,economic,and ideological background as the main obstacles in the development of collective bargaining machinery in transnational or multinational organizations.A study in Tanzania Zambia Railway Authority has attempted to develop an integrated bi-national collective bargaining machinery whose collective agreements are likely to be legally enforceable in their respective countries.This paper explores the development of trade unions in both Tanzania and Zambia which can be divided in three phases:first,the construction phase;second,the consolidation phase;and the third and final phase,trade union liberalization and political pluralism which covers the development of a bi national collective bargaining model with its Joint Industrial Council structure and negotiation procedures.The paper compares and contrasts trade union development in the two contracting states and critically examines how each phase has influenced trade union development.It provides a brief historical outline of collective bargaining process and spells out advantages and limitations of bi-national collective bargaining machinery.The paper concludes by observing that one of the main objectives of regional groupings is economic integration and suggests that integrated collective bargaining machinery be adopted as an ideal industrial relations model for regional groupings such as the African Union(AU),Southern African Development Community(SADC),Common Market for Eastern and Southern Africa(COMESA),Economic Community for West African States(ECOWAS),Eastern African Community,and other regional groupings around the world since it localizes industrial relations function in general and collective bargaining in particular.展开更多
In this paper,we focus on the BDS test,which is a nonparametric test of independence.Specifically,the null hypothesis H0 of it is that {u_(t)} is i.i.d.(independent and identically distributed),where {u_(t)} is a rand...In this paper,we focus on the BDS test,which is a nonparametric test of independence.Specifically,the null hypothesis H0 of it is that {u_(t)} is i.i.d.(independent and identically distributed),where {u_(t)} is a random sequence.The BDS test is widely used in economics and finance,but it has a weakness that cannot be ignored:over-rejecting H0 even if the length T of {u_(t)} is as large as(100;2000).To improve the over-rejection problem of BDS test,considering that the correlation integral is the foundation of this test,we not only accurately describe the expectation of the correlation integral under H_(0),but also calculate all terms of the asymptotic variance of the correlation integral whose order is O(T^(-1))and O(T^(-2)),which is essential to improve the finite sample performance of BDS test.Based on this,we propose a revised BDS(RBDS)test and prove its asymptotic normality under H0.The RBDS test not only inherits all the advantages of BDS test,but also effectively corrects the over-rejection problem of it,which can be fully confirmed by the simulation results we presented.Moreover,based on the simulation results,we find that similar to BDS test,RBDS test would also be affected by the parameter estimations of the ARCH-type model,resulting in size distortion,but this phenomenon can be alleviated by the logarithmic transformation preprocessing of the estimate residuals of the model.Besides,through some actual datasets that have been demonstrated to fit well with ARCH-type models,we also compared the performance of BDS test and RBDS test in evaluating the goodness-of-fit of the model in empirical problem,and the results reflect that,under the same condition,the performance of the RBDS test is more encouraging.展开更多
In this paper,we propose a class of robust independence tests for two random vectors based on weighted integrals of empirical characteristic functions.By letting weight functions be probability density functions of a ...In this paper,we propose a class of robust independence tests for two random vectors based on weighted integrals of empirical characteristic functions.By letting weight functions be probability density functions of a class of special distributions,the proposed test statistics have simple closed forms and do not require moment conditions on the random vectors.Moreover,we derive the asymptotic distributions of the test statistics under the null hypothesis.The proposed testing method is computationally feasible and easy to implement.Based on a data-driven bandwidth selection method,Monte Carlo simulation studies indicate that our tests have a relatively good performance compared with the competitors.A real data example is also presented to illustrate the application of our tests.展开更多
基金Supported by the National Natural Science Foundation of China(No. 20176045)Major State Basic Research Development Program of China(No. G20000263)
文摘The properties of matched streams, the simultaneous operation time, and the distance between integrated processes, are the main factors which determine whether the direct integration is feasible or not. According to whether such synthetic integration is economically better than the separate integration of each process, a mathematical formulation is established. The retrofit of reforming and arene processes in a certain petrochemical factory, which are independent each other, is chosen as a case study. By only considering the simultaneous operation time, two retrofit designs are proposed: one is that each of the two processes is separately integrated by itself, and the other is that the two processes are integrated comprehensively. Under different simultaneous operation hours, the energy-saving effects and the economic profits of the two designs are calculated, and furthermore, the critical simultaneous operation time for direct heat integration of the two processes is obtained. When the actual simultaneous operation time of the two processes is longer than the critical value, the direct heat integration of the two processes is better economically, and otherwise the separate heat integration for each process should be considered.
文摘Baosteel's 60000 m……3/h air separation unit (ASU), the first domestically-integrated unit of its class, is a milestone in the Chinese air separation industry. In this paper,the process characteristics of the unit and the application of the original techniques are expatiated. Some difficulties in the process design, the risk control, the quality control, the control system integration and the system commissioning are analyzed and appraised. The mode of the project integration and innovation, the cooperation among industries and the user-orientated project management mode are introduced. Finally,the successful experiences in innovation are summarized with the focus on the integration of the project.
文摘Through summary and extraction of current steelmaking design,process and equipment technologies and production technologies for 300 t grade converters in Baosteel,the article analyzes and elaborates the significance of independent integration of 300 t grade converters in Zhanjiang,major targets of the independent integration in converter process technologies,equipment packages and controls,the innovated critical technologies and comparison with overseas advanced technologies,major technical difficulties in the integration in Baosteel and their solutions,as well as general mindset and final objectives of the project.The total integration of technology for Shanghai No.1 Steel Making Plant of Baosteel was undertaken by Nippon Steel.And Kawasaki Steel was responsible for the total integration of technology for 4# and 5# converters of Shanghai No.2 Steelmaking Plant of Baosteel.Based on digestion,absorption and innovation of the introduced technologies,Baosteel has firstly achieved the independent integration of 6# converter,5# RH and 3# LF projects in the Shanghai No.2 Steelmaking Plant of Baosteel.Therefore, Baosteel shall take advantages of the favorable conditions and experiences and advanced steel making technologies of Baosteeel to master the imported new steelmaking technologies in the world and then form the advanced complete set steel making technologies and equipment at home and abroad.The achievement of independent integration of Zhanjiang Steel Making Project will make the breakthrough for the construction of large - sized steel making plant in Baosteel.300 t converter technology integration is undertaken by Baosteel independently in instead of by the foreign side in the past.
基金supported by Teaching and research projects of Qilu University of Technology(Shandong Academy of Sciences)in 2019“Research and Practice of the Low sensitization Ideological and political teaching strategy for engineering Specialized Courses-Take mechanics as an example”(2019zd14)Online Education Teaching and research Bidding Projects of Qilu University of Technology(Shandong Academy of Sciences)in 2020“Research on adaptive online hybrid structure teaching method based on Chaos Theory”(2020zb04).
文摘In the context of the COVID-19 outbreak,online teaching has spread rapidly.However,the existing research on moral and self-cultivation teaching methods for online courses remains inadequate.This paper proposes an“independence+integration”moral and self-cultivation teaching method for online courses.The method divides the targets of moral and self-cultivation teaching into independent and integrated ones,and fits them both explicitly and implicitly into the online teaching of specialized courses in higher education.When this method was employed to teach engineering mechanics to industrial design students at a college in China,it effectively increased the students’acceptance of online courses as well as their understanding of moral and self-cultivation knowledge and the course itself,and improved the quality of online teaching.The method provides a new way of thinking about online moral and self-cultivation teaching.
基金National Natural Science Foundations of China(Nos.61374140,61403072,61673173)Fundamental Research Funds for the Central Universities,China(Nos.222201717006,222201714031)
文摘Independent component analysis( ICA) has been widely applied to the monitoring of non-Gaussian processes. Despite lots of applications,there is no universally accepted criterion to select the dominant independent components( ICs). Moreover, how to determine the number of dominant ICs is still an open question. To further address this issue,a novel process monitoring based on IC contribution( ICC) is proposed from the perspective of information storage. Based on the ICC with each variable,the dominant ICs can be obtained and the number of dominant ICs is determined objectively. To further preserve the process information, the remaining ICs are not useless. As a result,all the ICs are regarded to be divided into dominant and residual subspaces. The monitoring models are established respectively in each subspace, and then Bayesian inference is applied to integrating monitoring results of the two subspaces. Finally, the feasibility and effectiveness of the proposed method are illustrated through a numerical example and the Tennessee Eastman process.
文摘The aim of this present paper is to establish some new integrodifferential inequalities of Gronwall type involving functions of one independent variable which provide explicit bounds on unknown functions. The inequalities given here can be used in the analysis of a class of differential equations as handy tools.
文摘In the case of the given design variables and constraint functions, this paper is concerned with the rapid overall parameters design of trajectory, propulsion and aerodynamics for long-range ballistic missiles based on the index of the minimum take-off mass.In contrast to the traditional subsystem independent design, this paper adopts the research idea of the combination of the subsystem independent design and the multisystem integration design.Firstly, the trajectory, propulsion and aerodynamics of the subsystem are separately designed by the engineering design, including the design of the minimum energy trajectory, the computation of propulsion system parameters, and the calculation of aerodynamic coefficient and dynamic derivative of the missile by employing the software of missile DATCOM. Then, the uniform design method is used to simplify the constraint conditions and the design variables through the integration design, and the accurate design of the optimized variables would be accomplished by adopting the uniform particle swarm optimization(PSO) algorithm. Finally, the automation design software is written for the three-stage solid ballistic missile. The take-off mass of 29 850 kg is derived by the subsystem independent design, and 20 constraints are reduced by employing the uniform design on the basis of 29 design variables and 32 constraints, and the take-off mass is dropped by 1 850 kg by applying the combination of the uniform design and PSO. The simulation results demonstrate the effectiveness and feasibility of the proposed hybrid optimization technique.
文摘The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations.
文摘J-integral has served as a powerful tool in characterizing crack tip status. The main feature, i.e. path- independence, makes it one of the foremost fracture parameters. In order to remain the path- independence for fluid-driven cracks, J-integral is revised. In this paper, we present an extended J-in- tegral explicitly for fluid-driven cracks, e.g. hydraulically induced fractures in petroleum reservoirs, for three-dimensional (3D) problems. Particularly, point-wise 3D extended J-integral is proposed to char- acterize the state of a point along crack front. Besides, applications of the extended J-integral to porous media and thermally induced stress conditions are explored. Numerical results show that the extended J- integral is indeed path-independent, and they are in good agreement with those of equivalent domain integral under linear elastic and elastoplastic conditions. In addition, two distance-independent circular integrals in the K-dominance zone are established, which can be used to calculate the stress intensity factor (SIF).
文摘The Tanzania Zambia Railway stretches 1,860 kilometers from the East African Indian Ocean port of Dar es Salaam in Tanzania to New Kapiri-Mposhi in land locked Zambia.It is defined as a bi-national organization as opposed to either transnational or multinational because it is jointly owned and managed by the Governments of Tanzania and Zambia.Its construction was made possible by Chinese interest-free loan to the two Governments.Few development projects in Africa have been charged with as much political and ideological dynamite as Tanzania Zambia Railway.To the Western powers,angry that the Chinese had entered territory which they considered their own preserve,it was a Red Railway intended to thrust communism into the very heart of Africa.For the white regimes in Southern Africa,grimly attempting to hold back demands for majority rule,it was seen as Africa’s Ho Chi Minh Trail,carrying guerrilla further,armed with Chinese thoughts and weapons to the banks of the Zambezi River.The Chinese regarded the project as a Friendship Route to strengthen the new African states against the forces of imperialism and for Tanzania and Zambia it was a Freedom Railway,which should prove an instrument in increasing their independence.These reactions underpin not only the complexity of the establishment and management of a bi-national organization but also present challenges to the two national trade unions on how best they can represent their members.Industrial relations literature has cited differences in countries’historical,social,political,economic,and ideological background as the main obstacles in the development of collective bargaining machinery in transnational or multinational organizations.A study in Tanzania Zambia Railway Authority has attempted to develop an integrated bi-national collective bargaining machinery whose collective agreements are likely to be legally enforceable in their respective countries.This paper explores the development of trade unions in both Tanzania and Zambia which can be divided in three phases:first,the construction phase;second,the consolidation phase;and the third and final phase,trade union liberalization and political pluralism which covers the development of a bi national collective bargaining model with its Joint Industrial Council structure and negotiation procedures.The paper compares and contrasts trade union development in the two contracting states and critically examines how each phase has influenced trade union development.It provides a brief historical outline of collective bargaining process and spells out advantages and limitations of bi-national collective bargaining machinery.The paper concludes by observing that one of the main objectives of regional groupings is economic integration and suggests that integrated collective bargaining machinery be adopted as an ideal industrial relations model for regional groupings such as the African Union(AU),Southern African Development Community(SADC),Common Market for Eastern and Southern Africa(COMESA),Economic Community for West African States(ECOWAS),Eastern African Community,and other regional groupings around the world since it localizes industrial relations function in general and collective bargaining in particular.
基金the National Natural Science Foundation of China(12271536,12171198)First Class Discipline of Zhejiang-A(Zhejiang University of Finance and Economics-Statistics)(10344921011/003).
文摘In this paper,we focus on the BDS test,which is a nonparametric test of independence.Specifically,the null hypothesis H0 of it is that {u_(t)} is i.i.d.(independent and identically distributed),where {u_(t)} is a random sequence.The BDS test is widely used in economics and finance,but it has a weakness that cannot be ignored:over-rejecting H0 even if the length T of {u_(t)} is as large as(100;2000).To improve the over-rejection problem of BDS test,considering that the correlation integral is the foundation of this test,we not only accurately describe the expectation of the correlation integral under H_(0),but also calculate all terms of the asymptotic variance of the correlation integral whose order is O(T^(-1))and O(T^(-2)),which is essential to improve the finite sample performance of BDS test.Based on this,we propose a revised BDS(RBDS)test and prove its asymptotic normality under H0.The RBDS test not only inherits all the advantages of BDS test,but also effectively corrects the over-rejection problem of it,which can be fully confirmed by the simulation results we presented.Moreover,based on the simulation results,we find that similar to BDS test,RBDS test would also be affected by the parameter estimations of the ARCH-type model,resulting in size distortion,but this phenomenon can be alleviated by the logarithmic transformation preprocessing of the estimate residuals of the model.Besides,through some actual datasets that have been demonstrated to fit well with ARCH-type models,we also compared the performance of BDS test and RBDS test in evaluating the goodness-of-fit of the model in empirical problem,and the results reflect that,under the same condition,the performance of the RBDS test is more encouraging.
基金supported by National Natural Science Foundation of China(NNSFC)(Grant No.12201317)China Postdoctoral Science Foundation(Grant No.2022M721716),Changliang Zou’s research was supported by the National Key R&D Program of China(Grant Nos.2022YFA1003703,2022YFA1003800)+1 种基金the National Natural Science Foundation of China(Grant Nos.11925106,12231011,11931001,12226007,12326325)Cui’s research was supported by NNSFC(Grant Nos.12031016 and 11971324)。
文摘In this paper,we propose a class of robust independence tests for two random vectors based on weighted integrals of empirical characteristic functions.By letting weight functions be probability density functions of a class of special distributions,the proposed test statistics have simple closed forms and do not require moment conditions on the random vectors.Moreover,we derive the asymptotic distributions of the test statistics under the null hypothesis.The proposed testing method is computationally feasible and easy to implement.Based on a data-driven bandwidth selection method,Monte Carlo simulation studies indicate that our tests have a relatively good performance compared with the competitors.A real data example is also presented to illustrate the application of our tests.