全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

修正比例失效率尺度模型下的随机比较
Stochastic Comparison under a Model of Modified Proportional Failure Rate Scale

DOI: 10.12677/pm.2025.152064, PP. 238-246

Keywords: 次序统计量,随机比较,多元离群值模型,失效率序,优化序
Order Statistic
, Stochastic Comparison, Multivariate Outlier Model, Hazard Rate Order, Majorization

Full-Text   Cite this paper   Add to My Lib

Abstract:

本文研究由两组n维独立且异质的样本产生的二阶次序统计量的失效率序。考虑在多元离群值模型的假设下,修正的比例失效率尺度参数不同和两组不同样本量的多元离群值下的随机比较。
In this paper, we study the failure order of the second order statistics generated by two groups of n-dimensional independent and heterogeneous samples. Considering the assumption of the multivariate outlier model, the modified proportional failure rate scale parameters and the stochastic comparison of the multiple outliers of two groups with different sample sizes are studied.

References

[1]  Zhang, J. and Yan, R. (2018) Stochastic Comparison at Component Level and System Level Series System with Two Proportional Hazards Rate Components. Journal of Quantitative Economics Quant, 35, 91-95.
[2]  Guo, Z., Zhang, J. and Yan, R. (2020) The Residual Lifetime of Surviving Components of Coherent System under Periodical Inspections. Mathematics, 8, Article 2181.
https://doi.org/10.3390/math8122181
[3]  Zhang, J., Yan, R. and Zhang, Y. (2022) Reliability Analysis of Fail-Safe Systems with Heterogeneous and Dependent Components Subject to Random Shocks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 237, 1073-1087.
https://doi.org/10.1177/1748006x221122033
[4]  Yan, R. and Niu, J. (2023) Stochastic Comparisons of Second-Order Statistics from Dependent and Heterogenous Modified Proportional Hazard Rate Observations. Statistics, 57, 328-353.
https://doi.org/10.1080/02331888.2023.2177999
[5]  Shrahili, M., Kayid, M. and Mesfioui, M. (2023) Relative Orderings of Modified Proportional Hazard Rate and Modified Proportional Reversed Hazard Rate Models. Mathematics, 11, Article 4652.
https://doi.org/10.3390/math11224652
[6]  Das, S., Kayal, S. and Torrado, N. (2022) Ordering Results between Extreme Order Statistics in Models with Dependence Defined by Archimedean [Survival] Copulas. Ricerche di Matematica, 73, 1997-2033.
https://doi.org/10.1007/s11587-022-00715-3
[7]  Guo, M., Zhang, J. and Yan, R. (2024) Stochastic Comparisons of Second Largest Order Statistics with Dependent Heterogeneous Random Variables. Communications in StatisticsTheory and Methods.
https://doi.org/10.1080/03610926.2024.2392858
[8]  Zhang, J., Guo, Z., Niu, J. and Yan, R. (2024) Increasing Convex Order of Capital Allocation with Dependent Assets under Threshold Model. Statistical Theory and Related Fields, 8, 124-135.
https://doi.org/10.1080/24754269.2023.2301630
[9]  Das, S. and Kayal, S. (2019) Some Ordering Results for the Marshall and Olkin’s Family of Distributions. Communications in Mathematics and Statistics, 9, 153-179.
https://doi.org/10.1007/s40304-019-00191-6
[10]  Shaked, M. and George Shanthikumar, J. (2007) Stochastic Orders. Springer.
[11]  Marshall, A.W., Olkin, I. and Arnold, B.C. (1979) Inequalities: Theory of Majorization and Its Applications. Springer.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133