Estimation under a finite mixture of modified Weibull distributions based on censored data via EM algorithm with application

DOI

10.2991/jsta.2014.13.3.1How to use a DOI?

Keywords

Modified Weibull Distribution, Maximum likelihood estimation, EM algorithm, Finite mixture models, Weibull distribution, type-I censoring , type-II censoring, Kolmogorov-Smirnov (K-S) test statistic

Abstract

In this paper, the maximum likelihood estimates (MLE's) of the parameters of a finite mixture of modified Weibull (MW (alpha, beta, gamma)) distributions are obtained based on type-I and type-II censored samples using the EM algorithm. A simulation study is carried out to study the behavior of the mean squared errors. A real data set is introduced and analyzed using a mixture of two MW distributions and also using a mixture of two Weibull (alpha, beta)distributions. A comparison is carried out between the mentioned mixtures based on the corresponding Kolmogorov-Smirnov (K-S) test statistic to emphasize that the MW mixture model fits the data better than the other mixture model.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Saieed F. Ateya
AU  - Amirah S. Alharthi
PY  - 2014
DA  - 2014/09/30
TI  - Estimation under a finite mixture of modified Weibull distributions based on censored data via EM algorithm with application
JO  - Journal of Statistical Theory and Applications
SP  - 196
EP  - 204
VL  - 13
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.3.1
DO  - 10.2991/jsta.2014.13.3.1
ID  - Ateya2014
ER  -