Title : ( Characterizations of Lifetime Distributions Based on Doubly Truncated Mean Residual Life and Mean Past to Failure )
Authors: Mohammad Khorashadizadeh , Abdolhamid Rezaei Roknabadi , Gholam Reza Mohtashami Borzadaran ,
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Abstract
In this paper, based on Ruiz and Navarro (1995) and Sankaran and Sunoj (2004), we study and obtain more properties of discrete doubly truncated mean residual life (DMRL). Some characterizations due to distributions such as geometric, Waring, negative hypergeometric and discrete Pearson family of distributions are given based on discrete DMRL and general failure rate (GFR). Furthermore, the doubly truncated mean past to failure (DMPF) in both discrete and continuous distributions are studied more and their relations with GFR are obtained. Also, it has shown that the distribution function $F$ can be uniquely characterized from DMPF. Finally, some examples of distributions are presented.
Keywords
, Doubly truncated mean residual life (DMRL), general failure rate (GFR), doubly truncated mean past to failure (DMPF), Pearson family of distributions, Telescopic family of distributions.
@article{paperid:1020875,
author = {Khorashadizadeh, Mohammad and Rezaei Roknabadi, Abdolhamid and Mohtashami Borzadaran, Gholam Reza},
title = {Characterizations of Lifetime Distributions Based on Doubly Truncated Mean Residual Life and Mean Past to Failure},
journal = {Communications in Statistics - Theory and Methods},
year = {2011},
volume = {41},
number = {6},
month = {February},
issn = {0361-0926},
pages = {1105--1115},
numpages = {10},
keywords = {Doubly truncated mean residual life (DMRL); general failure rate (GFR); doubly truncated mean past to failure (DMPF); Pearson family of distributions; Telescopic family of distributions.},
}
%0 Journal Article
%T Characterizations of Lifetime Distributions Based on Doubly Truncated Mean Residual Life and Mean Past to Failure
%A Khorashadizadeh, Mohammad
%A Rezaei Roknabadi, Abdolhamid
%A Mohtashami Borzadaran, Gholam Reza
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2011
