相依随机变量一般有限混合的随机比较
Stochastic Comparisons of Generalized Finite Mixture with Dependent Random Variables
DOI: 10.12677/PM.2023.133053, PDF,   
作者: 王艺婷：西北师范大学数学与统计学院，甘肃 兰州
关键词: 一般有限混合模型；相依性；随机比较；Generalized Finite Mixture Model； Dependence； Stochastic Comparison
摘要: 本文讨论了相依随机变量一般有限混合的随机比较，运用随机序和超优序的理论，给出了有限相依混合之间的普通随机序和似然比序，并通过数值例子直观说明了主要结论。
Abstract: In this paper, we carry out stochastic comparisons of generalized finite mixtures with dependent random variables using stochastic orders and majorization order in the sense of the usual stochastic and likelihood ratio ordering and illustrate the main conclusions visually with some numerical examples.
文章引用：王艺婷. 相依随机变量一般有限混合的随机比较[J]. 理论数学, 2023, 13(3): 486-492. https://doi.org/10.12677/PM.2023.133053

参考文献

[1] Finkelstein, M. (2008) Failure Rate Modelling for Reliability and Risk. Springer Science & Business Media, Ber-lin.
[2] Cha, J.H. and Finkelstein, M. (2013) The Failure Rate Dynamics in Heterogeneous Populations. Reliability Engineering & System Safety, 112, 120-128. [Google Scholar] [CrossRef] 
[3] Franco, M., Balakrishnan, N., Kundu, D. and Vivo, J.-M. (2014) Generalized Mixtures of Weibull Components. Test, 23, 515-535. [Google Scholar] [CrossRef] 
[4] Amini-Seresht, E. and Zhang, Y.Y. (2017) Stochastic Compari-sons on Two Finite Mixture Models. Operations Research Letters, 45, 475-480. [Google Scholar] [CrossRef] 
[5] Nadeb, H. and Torabi, H. (2022) New Results on Stochastic Com-parisons of Finite Mixtures for Some Families of Distributions. Communications in Statistics-Theory and Methods, 51, 3104-3119. [Google Scholar] [CrossRef] 
[6] Navarro, J. (2016) Stochastic Comparisons of Generalized Mixtures and Coherent Systems. Test, 25, 150-169. [Google Scholar] [CrossRef] 
[7] Amini-Seresht, E. and Balakrishnan, N. (2021) Stochastic Prop-erties of Generalized Finite Mixture Models with Dependent Components. Journal of Applied Probability, 58, 794-804. [Google Scholar] [CrossRef] 
[8] Hazra, N.K. and Misra, N. (2020) On Relative Ageing of Coherent Systems with Dependent Identically Distributed Components. Advances in Applied Probability, 52, 348-376. [Google Scholar] [CrossRef] 
[9] Shojaee, O., Asadi, M. and Finkelstein, M. (2022) Stochastic Properties of Generalized Finite α-Mixtures. Probability in the Engineering and Informational Sciences, 36, 1055-1079. [Google Scholar] [CrossRef] 
[10] Shaked, M. and George Shanthikumar, J. (2007) Stochastic Orders. Springer, Berlin. [Google Scholar] [CrossRef] 
[11] Marshall, A.W., Olkin, I. and Arnold, B.C. (1979) Inequalities: Theory of Majorization and Its Applications. Springer, Berlin, Vol. 143.
[12] Nelsen, R.B. (2007) An Introduction to Copulas. Springer Science & Business Media, Berlin.

为你推荐