Title : ( Statistical evidences in sequential order statistics arising from a general family of lifetime distributions )
Authors: majid hashempour , Mahdi Doostparast ,
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Abstract
In this paper, statistical evidences in sequential order statistic (SOS) coming from a general class of lifetime distributions, proposed by AL-Hussaini [1], is considered. Weak and misleading evidences in multiply SOS samples for both simple and composite hypotheses about the parameters of interest are derived in explicit expressions and their behaviours with respect to the model parameters are studied in details. In presence of nuisance parameters, the approximate evidences are also given. Moreover, the types I and II Pareto family are investigated for illustrative purposes. Optimal sample sizes given a minimum desired level for the decisive and the correct probabilities are provided.
Keywords
, AL-Hussiani's family of distributions, Hypotheses testing; Likelihood ratio; Pareto model; Sequential order statistic; Strong and weak evidences.
@article{paperid:1055592,
author = {Hashempour, Majid and Doostparast, Mahdi},
title = {Statistical evidences in sequential order statistics arising from a general family of lifetime distributions},
journal = {Istatistik},
year = {2016},
volume = {9},
number = {1},
month = {January},
issn = {1300-4077},
pages = {29--41},
numpages = {12},
keywords = {AL-Hussiani's family of distributions; Hypotheses testing; Likelihood ratio;
Pareto model; Sequential order statistic; Strong and weak evidences.},
}
%0 Journal Article
%T Statistical evidences in sequential order statistics arising from a general family of lifetime distributions
%A Hashempour, Majid
%A Doostparast, Mahdi
%J Istatistik
%@ 1300-4077
%D 2016
