Journal of Statistical Theory and Applications

Volume 13, Issue 3, September 2014, Pages 196 - 204

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

Authors
Saieed F. Ateya, Amirah S. Alharthi
Corresponding Author
Saieed F. Ateya
Available Online 30 September 2014.
DOI
https://doi.org/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.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 3
Pages
196 - 204
Publication Date
2014/09
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2014.13.3.1How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Saieed F. Ateya
AU  - Amirah S. Alharthi
PY  - 2014
DA  - 2014/09
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  - https://doi.org/10.2991/jsta.2014.13.3.1
ID  - Ateya2014
ER  -