CHARACTERIZATIONS AND RELIABILITY MEASURES OF THE GENERALIZED LOG BURR XII DISTRIBUTION

2021 ◽  
Vol 69 (1) ◽  
pp. 69-84
Author(s):  
Fiaz Ahmad Bhatti ◽  
Munir Ahmad
Keyword(s):  
Reliability Measures ◽  
Burr Xii Distribution

New Stochastic Orders Based on Double Truncation

1997 ◽  
Vol 11 (3) ◽  
pp. 395-402 ◽  
Author(s):  
Jorge Navarro ◽  
Felix Belzunce ◽  
Jose M. Ruiz
Keyword(s):  
Likelihood Ratio ◽  
Random Variable ◽  
Stochastic Orders ◽  
Likelihood Ratio Order ◽  
Reliability Measures ◽  
Life Distributions ◽  
The Relationship ◽  
Double Truncation

The purpose of this paper is to study definitions and characterizations of orders based on reliability measures related with the doubly truncated random variable X[x, y] = (X|x ≤ X ≤ y). The relationship between these orderings and various existing orderings of life distributions are discussed. Moreover, we give two new characterizations of the likelihood ratio order based on double truncation. These new orders complete a general diagram between orders defined from truncation.

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