Characterizations through reliability measures from weighted distributions

2001 ◽  
Vol 42 (3) ◽  
pp. 395-402 ◽  
Author(s):  
J. Navarro ◽  
Y. del Aguila ◽  
J. M. Ruiz
1989 ◽  
Vol 18 (12) ◽  
pp. 4393-4412 ◽  
Author(s):  
Kanchan Jain ◽  
Harshinder Singh ◽  
Isha Bagai

2002 ◽  
Vol 8 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Broderick O. Oluyede ◽  
E. Olusegun George

Inequalities, relations and stochastic orderings, as well as useful ageing notions for weighted distributions are established. Also presented are preservation and stability results and comparisons for weighted and length-biased distributions. Relations for length-biased and equilibrium distributions as examples of weighted distributions are also presented.


2009 ◽  
Vol 139 (10) ◽  
pp. 3625-3638 ◽  
Author(s):  
C.C. Kokonendji ◽  
T. Senga Kiessé ◽  
N. Balakrishnan

1997 ◽  
Vol 11 (3) ◽  
pp. 395-402 ◽  
Author(s):  
Jorge Navarro ◽  
Felix Belzunce ◽  
Jose M. Ruiz

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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