Alpha power Weibull distribution

Properties and applications

M. Nassar, A. Alzaatreh, M. Mead, O. Abo-Kasem

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, a new lifetime distribution is defined and studied. We refer to the new distribution as alpha power Weibull distribution. The importance of the new distribution comes from its ability to model monotone and non monotone failure rate functions, which are quite common in reliability studies. Various properties of the proposed distribution are obtained including moments, quantiles, entropy, order statistics, mean residual life function, and stress-strength parameter. The maximum likelihood estimation method is used to estimate the parameters. Two real data sets are used to illustrate the importance of the proposed distribution.

Original languageEnglish
Pages (from-to)10236-10252
Number of pages17
JournalCommunications in Statistics - Theory and Methods
Volume46
Issue number20
DOIs
Publication statusPublished - Oct 18 2017

Fingerprint

Power Distribution
Weibull Distribution
Mean Residual Life Function
Failure Rate Function
Lifetime Distribution
Quantile
Order Statistics
Maximum Likelihood Estimation
Monotone
Entropy
Moment
Estimate
Model

Keywords

  • Alpha power transformation
  • maximum likelihood estimation
  • stress-strength parameter
  • Weibull distribution

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

Alpha power Weibull distribution : Properties and applications. / Nassar, M.; Alzaatreh, A.; Mead, M.; Abo-Kasem, O.

In: Communications in Statistics - Theory and Methods, Vol. 46, No. 20, 18.10.2017, p. 10236-10252.

Research output: Contribution to journalArticle

Nassar, M. ; Alzaatreh, A. ; Mead, M. ; Abo-Kasem, O. / Alpha power Weibull distribution : Properties and applications. In: Communications in Statistics - Theory and Methods. 2017 ; Vol. 46, No. 20. pp. 10236-10252.
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