A new generalized weighted Weibull distribution with decreasing, increasing, upside-down bathtub, N-shape and M-shape hazard rate

ABSTRACT

Recently, Domma et al. [An extension of Azzalinis method, J. Comput. Appl. Math. 278 (2015), pp. 37–47] proposed an extension of Azzalini's method. This method can attract readers due to its flexibility and ease of applicability. Most of the weighted Weibull models that have been introduced are with monotonic hazard rate function. This fact limits their applicability. So, our aim is to build a new weighted Weibull distribution with monotonic and non-monotonic hazard rate function. A new weighted Weibull distribution, so-called generalized weighted Weibull (GWW) distribution, is introduced by a method exposed in Domma et al. [13]. GWW distribution possesses decreasing, increasing, upside-down bathtub, N-shape and M-shape hazard rate. Also, it is very easy to derive statistical properties of the GWW distribution. Finally, we consider application of the GWW model on a real data set, providing simulation study too.

KEYWORDS:

• Extension of Azzalini's method
• weighted Weibull models
• hidden truncation
• FGM copula function

Acknowledgments

The authors are grateful to the Editor and anonymous referees whose comments improved the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Božidar V. Popović http://orcid.org/0000-0001-6349-4843