Reliability Analysis of the Beta Exponentiated Weibull Poisson Distribution

Authors

  • Tipagorn Insuk Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Winai Bodhisuwan Department of Statistics, Faculty of Science, Kasetsart University, Bangkok, Thailand
  • Uraiwan Jaroengeratikun Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bang Sue, Bangkok, Thailand

Keywords:

Beta exponentiated Weibull Poisson distribution, reliability, hazard function, mean residual life

Abstract

The beta exponentiated Weibull Poisson (BEWP) distribution is introduced by Insuk et al. in 2015, some properties of this distribution are discussed therein. In this paper, we applied the BEWP in reliability analysis. Derivation of reliability functions, e.g. survival function, hazard function, moment, mean and variance of residual life function are presented. Finally, we apply the BEWP’s mean residual life (MRL) function to find the optimal burn-in time for real data with the bathtub failure shape.

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Published

2016-07-30

How to Cite

Insuk, T., Bodhisuwan, W., & Jaroengeratikun, U. (2016). Reliability Analysis of the Beta Exponentiated Weibull Poisson Distribution. Thailand Statistician, 14(2), 129–146. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/63616

Issue

Vol. 14 No. 2 (2016): July

Section

Articles