Bartlett and Bartlett-type corrections for censored data from a Weibull distribution
Magalhães, Tiago M. (Universidade Federal de Juiz de Fora. Department of Statistics, Institute of Exact Sciences)
Gallardo, Diego (Universidad de Atacama. Departamento de Matemáticas)

Date:	2020
Abstract:	In this paper, we obtain the Bartlett factor for the likelihood ratio statistic and the Bartlett-type correction factor for the score and gradient test in censored data from a Weibull distribution. The expressions derived are simple, we only have to define a few matrices. We conduct an extensive Monte Carlo study to evaluate the performance of the corrected tests in small sample sizes and we show how they improve the original versions. Finally, we apply the results to a real data set with a small sample size illustrating that conclusions about the regressors could be different if corrections were not applied to the three mentioned classical statistics for the hypothesis test.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Bartlett correction ; Censored data ; Weibull distribution ; Chi-squared distribution ; Maximum likelihood estimates ; Type i and ii censoring
Published in:	SORT : statistics and operations research transactions, Vol. 44 Núm. 1 (January-June 2020) , p. 127-140 (Articles) , ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/371185
DOI: 10.2436/20.8080.02.97

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