Optimal equivariant prediction regions based on multiply type-II censored generalized order statistics from exponential distributions

Statistics ◽  
2020 ◽  
Vol 54 (5) ◽  
pp. 951-968
Author(s):  
Grigoriy Volovskiy ◽  
Udo Kamps
Keyword(s):  
Order Statistics ◽  
Generalized Order Statistics ◽  
Type Ii ◽  
Exponential Distributions ◽  
Prediction Regions ◽  
Generalized Order

ON STOCHASTIC AND AGING PROPERTIES OF GENERALIZED ORDER STATISTICS

2011 ◽  
Vol 25 (2) ◽  
pp. 187-204 ◽  
Author(s):  
Mahdi Tavangar ◽  
Majid Asadi
Keyword(s):  
Order Statistics ◽  
Stochastic Ordering ◽  
Record Values ◽  
Generalized Order Statistics ◽  
Type Ii ◽  
Random Data ◽  
Aging Properties ◽  
Right Censored Order Statistics ◽  
Censoring Scheme ◽  
Generalized Order

The generalized order statistics (GOS) model is a unified model that contains the well-known ordered random data such as order statistics and record values. In the present article, we investigate some stochastic ordering results and aging properties of the conditional GOS. The results of the article subsume some of the existing results, which recently are obtained in the literature, on conditional GOS. In particular, our results hold for the model of progressively type II right censored order statistics without any restriction on the censoring scheme.

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