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On the generalized extended exponential-Weibull distribution: properties and different methods of estimation.
- Source :
- International Journal of Computer Mathematics; May2020, Vol. 97 Issue 5, p1029-1057, 29p
- Publication Year :
- 2020
-
Abstract
- We consider the generalized extended exponential-Weibull distribution, which can be very useful for modelling non-monotonic failure rate function, and provide a detailed study of its structural properties. This model includes at least thirteen sub-models and some of them are very known such as the Weibull, generalized Weibull, exponential-Weibull, and exponentiated generalized linear exponential distributions. We also consider different estimation procedures for estimating the model parameters, namely: maximum likelihood, least-square, weighted least-square, maximum product of spacings, Cramér-von-Mises, and Anderson-Darling methods. We also conduct Monte Carlo simulation experiments to assess the finite sample properties of the proposed estimation methods. The usefulness of the distribution is illustrated by means of two real data sets to prove its versatility in practical applications. [ABSTRACT FROM AUTHOR]
- Subjects :
- WEIBULL distribution
MAXIMUM likelihood statistics
Subjects
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 97
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 142554698
- Full Text :
- https://doi.org/10.1080/00207160.2019.1605062