In this paper,we consider testing the hypothesis concerning the means of two independent semicontinuous distributions whose observations are zero-inflated,characterized by a sizable number of zeros and positive observ...In this paper,we consider testing the hypothesis concerning the means of two independent semicontinuous distributions whose observations are zero-inflated,characterized by a sizable number of zeros and positive observations from a continuous distribution.The continuous parts of the two semicontinuous distributions are assumed to follow a density ratio model.A new two-part test is developed for this kind of data.The proposed test takes the sum of one test for equality of proportions of zero values and one conditional test for the continuous distribution.The test is proved to follow a 2 distribution with two degrees of freedom.Simulation studies show that the proposed test controls the type I error rates at the desired level,and is competitive to,and most of the time more powerful than two popular tests.A real data example from a dietary intervention study is used to illustrate the usefulness of the proposed test.展开更多
Let m, n, S_1, S_2, …, S_n, be non-negative integers with 0≤m≤n. Assume μ(S_1, S_2, …, S_n)={(a_1, a_2, …, a_n)|0≤a_i≤S_i for each i} is a poser, Where (a_1, a_2, …, a_n)<(b_1, b_2, …, b_n) if and only if...Let m, n, S_1, S_2, …, S_n, be non-negative integers with 0≤m≤n. Assume μ(S_1, S_2, …, S_n)={(a_1, a_2, …, a_n)|0≤a_i≤S_i for each i} is a poser, Where (a_1, a_2, …, a_n)<(b_1, b_2, …, b_n) if and only if a_i<b_i for all i. A subset of μ(s_1, s_2, …, S_n) is called a two-part Sperner family in μ(s_1, s_2, …, s_n) if for any a=(a_1, a_2, …, an), b=(b_1, b_2, …, b_n) ∈μ(s_1, s_2, …, s_n), (i) a_i=b_i(1≤i≤m) and a_i≤b_i(m+1≤i≤n) imply a_i=b_i for all i, and (ⅱ) a_i≤b_i(1≤i≤m) and a_i=b_i(m+1≤i≤n) imply a_i=b_i for all i.In this paper, we prove that if is a two-part Sperner family in μ(s_1, s_2,…, s_n), then展开更多
With the acceleration of the investigation and development of marine resources,the detection and location of submarine pipelines have become a necessary part of modern marine engineering.Submarine pipelines are a typi...With the acceleration of the investigation and development of marine resources,the detection and location of submarine pipelines have become a necessary part of modern marine engineering.Submarine pipelines are a typical weak magnetic anomaly target,and their magnetic anomaly detection can only be realized within a certain distance.At present,a towfish or an autonomous underwater vehicle(AUV)is mainly used as the platform to equip magnetometers close to the submarine pipelines for magnetic anomaly detection.However,the mother ship directly affects the towfish,thus causing control interference.The AUV cannot detect in real time,which affects the magnetic anomaly detection and creates problems regarding detection efficiency.Meanwhile,a two-part towed platform has convenient control,thus reducing the interference of the towed mother ship and real-time detection.If the platform can maintain constant altitude sailing through the controller,the data accuracy in the actual magnetic anomaly detection can be guaranteed.On the basis of a two-part towed platform,a magnetic detection system with constant altitude sailing ability for submarine pipelines was constructed in this study.In addition,experimental verification was conducted.The experimental verification research shows that the constant altitude sailing experiment of the two-part towed platform verifies that the platform has good constant altitude sailing ability in both a hydrostatic environment and the actual marine environment.Meanwhile,the offshore magnetic anomaly detection experiment of submarine pipelines verifies the stable measurement function of the magnetic field and the function of the system to detect magnetic anomaly of submarine pipelines.展开更多
This paper considers the two-part tariff licensing by an innovating firm to its potential competitor in a differentiated mixed duopoly, in which one firm sets a quantity and the other firm charges a price. Based on th...This paper considers the two-part tariff licensing by an innovating firm to its potential competitor in a differentiated mixed duopoly, in which one firm sets a quantity and the other firm charges a price. Based on the development cost incurred by the rival, we derive the optimal behavior of the firms under full information case and partial information case respectively. Information difference on the equilibrium strategies is also investigated.展开更多
基金Supported by the National Natural Science Foundation of China(No.11971433)the First Class Discipline of Zhejiang-A(Zhejiang Gongshang University-Statistics)the Intramural Research Program of the Eunice Kennedy Shriver National Institute of Child Health and Human Development.
文摘In this paper,we consider testing the hypothesis concerning the means of two independent semicontinuous distributions whose observations are zero-inflated,characterized by a sizable number of zeros and positive observations from a continuous distribution.The continuous parts of the two semicontinuous distributions are assumed to follow a density ratio model.A new two-part test is developed for this kind of data.The proposed test takes the sum of one test for equality of proportions of zero values and one conditional test for the continuous distribution.The test is proved to follow a 2 distribution with two degrees of freedom.Simulation studies show that the proposed test controls the type I error rates at the desired level,and is competitive to,and most of the time more powerful than two popular tests.A real data example from a dietary intervention study is used to illustrate the usefulness of the proposed test.
文摘Let m, n, S_1, S_2, …, S_n, be non-negative integers with 0≤m≤n. Assume μ(S_1, S_2, …, S_n)={(a_1, a_2, …, a_n)|0≤a_i≤S_i for each i} is a poser, Where (a_1, a_2, …, a_n)<(b_1, b_2, …, b_n) if and only if a_i<b_i for all i. A subset of μ(s_1, s_2, …, S_n) is called a two-part Sperner family in μ(s_1, s_2, …, s_n) if for any a=(a_1, a_2, …, an), b=(b_1, b_2, …, b_n) ∈μ(s_1, s_2, …, s_n), (i) a_i=b_i(1≤i≤m) and a_i≤b_i(m+1≤i≤n) imply a_i=b_i for all i, and (ⅱ) a_i≤b_i(1≤i≤m) and a_i=b_i(m+1≤i≤n) imply a_i=b_i for all i.In this paper, we prove that if is a two-part Sperner family in μ(s_1, s_2,…, s_n), then
基金the support of the Fund of State Key Laboratory of Ocean Engineering(GKZD010068,GKZD010074,GKZD010075).
文摘With the acceleration of the investigation and development of marine resources,the detection and location of submarine pipelines have become a necessary part of modern marine engineering.Submarine pipelines are a typical weak magnetic anomaly target,and their magnetic anomaly detection can only be realized within a certain distance.At present,a towfish or an autonomous underwater vehicle(AUV)is mainly used as the platform to equip magnetometers close to the submarine pipelines for magnetic anomaly detection.However,the mother ship directly affects the towfish,thus causing control interference.The AUV cannot detect in real time,which affects the magnetic anomaly detection and creates problems regarding detection efficiency.Meanwhile,a two-part towed platform has convenient control,thus reducing the interference of the towed mother ship and real-time detection.If the platform can maintain constant altitude sailing through the controller,the data accuracy in the actual magnetic anomaly detection can be guaranteed.On the basis of a two-part towed platform,a magnetic detection system with constant altitude sailing ability for submarine pipelines was constructed in this study.In addition,experimental verification was conducted.The experimental verification research shows that the constant altitude sailing experiment of the two-part towed platform verifies that the platform has good constant altitude sailing ability in both a hydrostatic environment and the actual marine environment.Meanwhile,the offshore magnetic anomaly detection experiment of submarine pipelines verifies the stable measurement function of the magnetic field and the function of the system to detect magnetic anomaly of submarine pipelines.
基金Supported by Students’Innovation and Entrepreneurship Training Program of Liaoning Province(201710165000243)Liaoning Normal University(cx20170342)
文摘This paper considers the two-part tariff licensing by an innovating firm to its potential competitor in a differentiated mixed duopoly, in which one firm sets a quantity and the other firm charges a price. Based on the development cost incurred by the rival, we derive the optimal behavior of the firms under full information case and partial information case respectively. Information difference on the equilibrium strategies is also investigated.
