Title : ( Estimates Based on Sequential Order Statistics with the Two-Parameter Pareto Distribution )
Authors: Mahdy Esmailian , Mahdi Doostparast ,
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Abstract
This paper deals with the concept of sequential order statistics (SOS) for modelling the sequential r-out-of-n: F systems under a conditional proportional hazard rates drawn from a two-parameter Pareto distribution. Maximum likelihood estimates of parameters of interest are investigated based on multiple SOSs. Proposing various priors for the parameters of the assumed model, the Bayes estimates of the parameters of interest are derived and admissibility of obtained estimators are investigated. Due to lack of explicit expressions for some of the obtained Bayes estimates, Lindleys approximations are derived. To assess the performance of the obtained estimators, we conducted an extensive simulation studies.
Keywords
, Bayesian estimation, Lindley’s approximation, Maximum likelihood estimation, Pareto distribution, Sequential order statistics.
@article{paperid:1068532,
author = {Esmailian, Mahdy and Doostparast, Mahdi},
title = {Estimates Based on Sequential Order Statistics with the Two-Parameter Pareto Distribution},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
year = {2018},
volume = {42},
number = {5},
month = {November},
issn = {0126-6705},
pages = {2897--2914},
numpages = {17},
keywords = {Bayesian estimation; Lindley’s approximation; Maximum likelihood
estimation; Pareto distribution; Sequential order statistics.},
}
%0 Journal Article
%T Estimates Based on Sequential Order Statistics with the Two-Parameter Pareto Distribution
%A Esmailian, Mahdy
%A Doostparast, Mahdi
%J Bulletin of the Malaysian Mathematical Sciences Society
%@ 0126-6705
%D 2018
