scholarly journals Likelihood Ratio Ordering of k-out-of-n Systems Comprising Multiple-outlier Scale Components

2021 ◽  
Vol 14 (2) ◽  
pp. 0-0
Author(s):  
Ebrahim Amini Seresht ◽  
◽  
Ghobad Barmalzan ◽  
Keyword(s):  
Likelihood Ratio ◽  
Likelihood Ratio Ordering

Likelihood ratio comparisons and logconvexity properties of p-spacings from generalized order statistics

2021 ◽  
pp. 1-20
Author(s):  
Mahdi Alimohammadi ◽  
Maryam Esna-Ashari ◽  
Jorge Navarro
Keyword(s):  
Order Statistics ◽  
Likelihood Ratio ◽  
Record Values ◽  
Generalized Order Statistics ◽  
Model Parameters ◽  
Stochastic Comparisons ◽  
Sequential Order Statistics ◽  
Progressive Type ◽  
Likelihood Ratio Ordering ◽  
Generalized Order

Due to the importance of generalized order statistics (GOS) in many branches of Statistics, a wide interest has been shown in investigating stochastic comparisons of GOS. In this article, we study the likelihood ratio ordering of $p$ -spacings of GOS, establishing some flexible and applicable results. We also settle certain unresolved related problems by providing some useful lemmas. Since we do not impose restrictions on the model parameters (as previous studies did), our findings yield new results for comparison of various useful models of ordered random variables including order statistics, sequential order statistics, $k$ -record values, Pfeifer's record values, and progressive Type-II censored order statistics with arbitrary censoring plans. Some results on preservation of logconvexity properties among spacings are provided as well.

scholarly journals A star-like circuit-switching network with multistage service

1990 ◽  
Vol 22 (04) ◽  
pp. 965-967
Author(s):  
Z. Khalil ◽  
G. Falin
Keyword(s):  
Likelihood Ratio ◽  
Optimal Threshold ◽  
Switching Network ◽  
Circuit Switching ◽  
Traffic Intensity ◽  
Likelihood Ratio Ordering ◽  
The Mean

A star-like circuit-switching network with multistage service is considered. Likelihood ratio ordering is used to show that there exists an optimal threshold for the mean number of messages processed through the network as a function of the input traffic intensity.

CONDITIONAL ORDERING OF GENERALIZED ORDER STATISTICS REVISITED

2008 ◽  
Vol 22 (3) ◽  
pp. 333-346 ◽  
Author(s):  
Hongmei Xie ◽  
Taizhong Hu
Keyword(s):  
Order Statistics ◽  
Likelihood Ratio ◽  
Order Statistic ◽  
Generalized Order Statistics ◽  
Model Parameters ◽  
Likelihood Ratio Ordering ◽  
The Right ◽  
Generalized Order

In this article we investigate less restrictive conditions on the model parameters that enable one to establish the likelihood ratio ordering of one generalized order statistic by conditioning on the right tail of another lower-indexed generalized order statistic. One application of the main results is also presented.

On detecting change in likelihood ratio ordering

2002 ◽  
Vol 14 (5) ◽  
pp. 555-568 ◽  
Author(s):  
C. Xiong ◽  
Hammou El Barmi
Keyword(s):  
Likelihood Ratio ◽  
Likelihood Ratio Ordering

scholarly journals Stochastic Comparisons of Residual Lifetimes and Inactivity Times of Coherent Systems

2013 ◽  
Vol 50 (3) ◽  
pp. 848-860 ◽  
Author(s):  
Nitin Gupta
Keyword(s):  
Likelihood Ratio ◽  
Sufficient Conditions ◽  
Structure Functions ◽  
Coherent System ◽  
Stochastic Comparison ◽  
Coherent Systems ◽  
Stochastic Comparisons ◽  
Likelihood Ratio Ordering ◽  
Necessary And Sufficient ◽  
Residual Lifetimes

Under the assumption of independent and identically distributed (i.i.d.) components, the problem of the stochastic comparison of a coherent system having used components and a used coherent system has been considered. Necessary and sufficient conditions on structure functions have been provided for the stochastic comparison of a coherent system having used/inactive i.i.d. components and a used/inactive coherent system. As a consequence, for r-out-of-n systems, it has been shown that systems having used i.i.d. components stochastically dominate used systems in the likelihood ratio ordering.

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