Title : ( Evidential inference and optimal sample size determination on the basis of record values and record times under random sampling scheme )
Authors: Mahdi Doostparast , Mahdi Emadi ,
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Abstract
In this paper, the likelihood ratio approach is applied for measuring evidence provided by record data in favor of a hypothesis against an alternative under a random sampling scheme. Explicit expressions for probabilities of observing strong and weak evidences are derived. Asymptotic behaviors of these probabilities are investigated in a greater detail. Optimal sample size in which the substantial evidence reaches a desired level is determined. An illustrative example concerning records of times between consecutive telephone calls to a company\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s switchboard is also analyzed.
Keywords
Exponential model; Hypotheses testing; Likelihood ratio; Statistical evidence; Strong and weak evidences
@article{paperid:1031425,
author = {Doostparast, Mahdi and Emadi, Mahdi},
title = {Evidential inference and optimal sample size determination on the basis of record values and record times under random sampling scheme},
journal = {Statistical Methods and Applications},
year = {2014},
volume = {23},
number = {1},
month = {March},
issn = {1618-2510},
pages = {41--50},
numpages = {9},
keywords = {Exponential model; Hypotheses testing;
Likelihood ratio; Statistical evidence; Strong and weak evidences},
}
%0 Journal Article
%T Evidential inference and optimal sample size determination on the basis of record values and record times under random sampling scheme
%A Doostparast, Mahdi
%A Emadi, Mahdi
%J Statistical Methods and Applications
%@ 1618-2510
%D 2014
