The fitting of lifetime distribution in real-life data has been studied in various fields of research. With the theory of evolution still applicable, more complex data from real-world scenarios will continue to emerge...The fitting of lifetime distribution in real-life data has been studied in various fields of research. With the theory of evolution still applicable, more complex data from real-world scenarios will continue to emerge. Despite this, many researchers have made commendable efforts to develop new lifetime distributions that can fit this complex data. In this paper, we utilized the KM-transformation technique to increase the flexibility of the power Lindley distribution, resulting in the Kavya-Manoharan Power Lindley (KMPL) distribution. We study the mathematical treatments of the KMPL distribution in detail and adapt the widely used method of maximum likelihood to estimate the unknown parameters of the KMPL distribution. We carry out a Monte Carlo simulation study to investigate the performance of the Maximum Likelihood Estimates (MLEs) of the parameters of the KMPL distribution. To demonstrate the effectiveness of the KMPL distribution for data fitting, we use a real dataset comprising the waiting time of 100 bank customers. We compare the KMPL distribution with other models that are extensions of the power Lindley distribution. Based on some statistical model selection criteria, the summary results of the analysis were in favor of the KMPL distribution. We further investigate the density fit and probability-probability (p-p) plots to validate the superiority of the KMPL distribution over the competing distributions for fitting the waiting time dataset.展开更多
This study is focused on the approximate solution for the class of stochastic delay differential equations. The techniques applied involve the use of Caratheodory and Euler Maruyama procedures which approximated to st...This study is focused on the approximate solution for the class of stochastic delay differential equations. The techniques applied involve the use of Caratheodory and Euler Maruyama procedures which approximated to stochastic delay differential equations. Based on the Caratheodory approximate procedure, it was proved that stochastic delay differential equations have unique solution and established that the Caratheodory approximate solution converges to the unique solution of stochastic delay differential equations under the Cauchy sequence and initial condition. This Caratheodory approximate procedure and Euler method both converge at the same rate. This is achieved by replacing the present state with past state. The existence and uniqueness of an approximate solution of the stochastic delay differential equation were shown and the approximate solution to the unique solution was also shown. .展开更多
This study discusses Surah 94,using some aspects of the tenets of discourse analysis as its focus.The thrust of this study is to analyse the graphological features,the lexico-semantic representations,and the cohesive ...This study discusses Surah 94,using some aspects of the tenets of discourse analysis as its focus.The thrust of this study is to analyse the graphological features,the lexico-semantic representations,and the cohesive devices in the text.It employs the systemic grammar model for analysis.The graphological features examined include the punctuation marks,capitalizations,and indentation.The lexco-semantic representation is seen through the use of figures of speech.Moreover,the cohesive devices are the lexical devices(or references)and grammatical devices.The lexical devices are the repetition and antonym.Consequently,the grammatical devices include the co-ordinating and subordinating conjunctions,anaphoric and cataphoric ties.This study explicates the fact that linguistic-discourse features are prominent in religious language,most especially in Surah 94,and further deepens our understanding of the language of religion as both esoteric and performative in nature,and as a religious discourse.展开更多
The article examines the concept of intrapersonal conflict,the ravaging wars within oneself,that which is truly deeper than indecisiveness,what is responsible for inner conflict,its origin,the consequences,and how to ...The article examines the concept of intrapersonal conflict,the ravaging wars within oneself,that which is truly deeper than indecisiveness,what is responsible for inner conflict,its origin,the consequences,and how to avoid it.It employs Dul Johnsons’“In the Jaws of Love”in his Why Women Won’t Make It to Heaven.The theory for the investigation is sociological theory which articulates the inevitable relationship between literature and society.The inquiry unearths that an individuals’attempt to satisfy the needs of one’s environment at the expense of sound reasoning,the individual’s inability to find a balance between the individual’s head and heart,and being religious are detrimental to one’s wellbeing.It creates intrapersonal conflict which is indeed destructive.The paper resolves that people should be able to tell themselves the truth,recognise and accept same,even if it comes from one with whom they disagree.It also explicates that people should not depend on religious and secular leader or people to take decisions for them,and that living in fear is devastating among other things.展开更多
This paper presents an extended lifetime probability distribution based on the alpha power transformation. We refer to the proposed distribution as “the Alpha Power Topp-Leone (APTL) distribution”. Mathematical prop...This paper presents an extended lifetime probability distribution based on the alpha power transformation. We refer to the proposed distribution as “the Alpha Power Topp-Leone (APTL) distribution”. Mathematical properties of the APTL distribution such as the density and cumulative distribution functions, survival and hazard rate functions, quantile function, median, moments and its relative measures, probability weighted moment, moment generating function, Renyi entropy, and the distribution of order statistics were derived. The method of maximum likelihood estimation was employed to estimate the unknown parameters of the APTL distribution. Finally, we used two real data sets obtained from the literature to illustrate the applicability of the APTL distribution in real-life data fitting.展开更多
文摘The fitting of lifetime distribution in real-life data has been studied in various fields of research. With the theory of evolution still applicable, more complex data from real-world scenarios will continue to emerge. Despite this, many researchers have made commendable efforts to develop new lifetime distributions that can fit this complex data. In this paper, we utilized the KM-transformation technique to increase the flexibility of the power Lindley distribution, resulting in the Kavya-Manoharan Power Lindley (KMPL) distribution. We study the mathematical treatments of the KMPL distribution in detail and adapt the widely used method of maximum likelihood to estimate the unknown parameters of the KMPL distribution. We carry out a Monte Carlo simulation study to investigate the performance of the Maximum Likelihood Estimates (MLEs) of the parameters of the KMPL distribution. To demonstrate the effectiveness of the KMPL distribution for data fitting, we use a real dataset comprising the waiting time of 100 bank customers. We compare the KMPL distribution with other models that are extensions of the power Lindley distribution. Based on some statistical model selection criteria, the summary results of the analysis were in favor of the KMPL distribution. We further investigate the density fit and probability-probability (p-p) plots to validate the superiority of the KMPL distribution over the competing distributions for fitting the waiting time dataset.
文摘This study is focused on the approximate solution for the class of stochastic delay differential equations. The techniques applied involve the use of Caratheodory and Euler Maruyama procedures which approximated to stochastic delay differential equations. Based on the Caratheodory approximate procedure, it was proved that stochastic delay differential equations have unique solution and established that the Caratheodory approximate solution converges to the unique solution of stochastic delay differential equations under the Cauchy sequence and initial condition. This Caratheodory approximate procedure and Euler method both converge at the same rate. This is achieved by replacing the present state with past state. The existence and uniqueness of an approximate solution of the stochastic delay differential equation were shown and the approximate solution to the unique solution was also shown. .
文摘This study discusses Surah 94,using some aspects of the tenets of discourse analysis as its focus.The thrust of this study is to analyse the graphological features,the lexico-semantic representations,and the cohesive devices in the text.It employs the systemic grammar model for analysis.The graphological features examined include the punctuation marks,capitalizations,and indentation.The lexco-semantic representation is seen through the use of figures of speech.Moreover,the cohesive devices are the lexical devices(or references)and grammatical devices.The lexical devices are the repetition and antonym.Consequently,the grammatical devices include the co-ordinating and subordinating conjunctions,anaphoric and cataphoric ties.This study explicates the fact that linguistic-discourse features are prominent in religious language,most especially in Surah 94,and further deepens our understanding of the language of religion as both esoteric and performative in nature,and as a religious discourse.
文摘The article examines the concept of intrapersonal conflict,the ravaging wars within oneself,that which is truly deeper than indecisiveness,what is responsible for inner conflict,its origin,the consequences,and how to avoid it.It employs Dul Johnsons’“In the Jaws of Love”in his Why Women Won’t Make It to Heaven.The theory for the investigation is sociological theory which articulates the inevitable relationship between literature and society.The inquiry unearths that an individuals’attempt to satisfy the needs of one’s environment at the expense of sound reasoning,the individual’s inability to find a balance between the individual’s head and heart,and being religious are detrimental to one’s wellbeing.It creates intrapersonal conflict which is indeed destructive.The paper resolves that people should be able to tell themselves the truth,recognise and accept same,even if it comes from one with whom they disagree.It also explicates that people should not depend on religious and secular leader or people to take decisions for them,and that living in fear is devastating among other things.
文摘This paper presents an extended lifetime probability distribution based on the alpha power transformation. We refer to the proposed distribution as “the Alpha Power Topp-Leone (APTL) distribution”. Mathematical properties of the APTL distribution such as the density and cumulative distribution functions, survival and hazard rate functions, quantile function, median, moments and its relative measures, probability weighted moment, moment generating function, Renyi entropy, and the distribution of order statistics were derived. The method of maximum likelihood estimation was employed to estimate the unknown parameters of the APTL distribution. Finally, we used two real data sets obtained from the literature to illustrate the applicability of the APTL distribution in real-life data fitting.
