Title : ( Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination )
Authors: majid hashempour , Mahdi Doostparast ,
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Abstract
In this paper, statistical evidences in lifetimes of sequential r-out-of-n systems, which are modelled by the concept of sequential order statistics (SOS), coming from homogeneous exponential populations are considered. Weak and misleading evidences in SOS for hypotheses about the population parameter are derived in explicit expressions and their behaviours with respect to the model parameters are studied in details. Optimal sample sizes given a minimum desired level for the decisive and the correct probabilities are provided. It is shown that the optimal sample size does not depend on some model parameters.
Keywords
Exponential model; Hypotheses testing; Likelihood ratio; Sequential order statistics; Strong and weak evidences
@article{paperid:1084836,
author = {Hashempour, Majid and Doostparast, Mahdi},
title = {Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination},
journal = {Journal of Statistical Modelling: Theory and Applications},
year = {2020},
volume = {1},
number = {1},
month = {January},
issn = {2676-7392},
pages = {91--100},
numpages = {9},
keywords = {Exponential model; Hypotheses testing; Likelihood ratio; Sequential order statistics; Strong and weak evidences},
}
%0 Journal Article
%T Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination
%A Hashempour, Majid
%A Doostparast, Mahdi
%J Journal of Statistical Modelling: Theory and Applications
%@ 2676-7392
%D 2020
