Title : ( Exponentiality Test based on Progressively Type-II Censored data via Extension of Cumulative Tsallis Divergence )
Authors: vahideh ahrari , Arezou Habibirad ,
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Abstract
In this article, first new divergences are defined by using Tsallis divergence and a measure of discrepancy between equilibriums associated with two distributions is proposed. Then utilizing the progressively Type-II censored sample, we construct goodness of fit for exponentiality based on the estimation of proposed divergences. To investigate the performance of the mentioned tests, Monte Carlo simulations are performed. In order to study the power, the alternatives are considered according to the failure rate function. The powers of the proposed tests are then compared with other existing tests. As regards the last step of the study, in order to explain the use of the proposed tests, three examples are presented.
Keywords
, Cumulative residual Tsallis divergence, Exponential distribution, Goodness of fit test, Monte Carlo simulation, Progressively Type-II censored sample, Tsallis divergence.
@article{paperid:1083654,
author = {Ahrari, Vahideh and Habibirad, Arezou},
title = {Exponentiality Test based on Progressively Type-II Censored data via Extension of Cumulative Tsallis Divergence},
journal = {Revista Colombiana de Estadistica},
year = {2021},
volume = {44},
number = {2},
month = {July},
issn = {0120-1751},
pages = {297--312},
numpages = {15},
keywords = {Cumulative residual Tsallis divergence; Exponential distribution; Goodness of fit
test; Monte Carlo simulation; Progressively Type-II censored sample; Tsallis divergence.},
}
%0 Journal Article
%T Exponentiality Test based on Progressively Type-II Censored data via Extension of Cumulative Tsallis Divergence
%A Ahrari, Vahideh
%A Habibirad, Arezou
%J Revista Colombiana de Estadistica
%@ 0120-1751
%D 2021
