A new flexible Weibull distribution | Zendy

Sangun Park | Zendy; Jihwan Park | Zendy; Youngsik Choi | Zendy

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A new flexible Weibull distribution

Author(s) -

Sangun Park,

Jihwan Park,

Youngsik Choi

Publication year - 2016

Publication title -

communications for statistical applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.326

H-Index - 6

eISSN - 2383-4757

pISSN - 2287-7843

DOI - 10.5351/csam.2016.23.5.399

Subject(s) - weibull distribution , exponentiated weibull distribution , cumulative distribution function , monotone polygon , mathematics , log logistic distribution , statistics , hazard , order statistic , distribution fitting , weibull fading , weibull modulus , distribution (mathematics) , computer science , mathematical optimization , probability density function , probability distribution , mathematical analysis , chemistry , geometry , decoding methods , organic chemistry , rayleigh fading , fading

Many of studies have suggested the modifications on Weibull distribution to model the non-monotone hazards. In this paper, we combine two cumulative hazard functions and propose a new modified Weibull distribution function. The newly suggested distribution will be named as a new flexible Weibull distribution. Corresponding hazard function of the proposed distribution shows flexible (monotone or non-monotone) shapes. We study the characteristics of the proposed distribution that includes ageing behavior, moment, and order statistic. We also discuss an estimation method for its parameters. The performance of the proposed distribution is compared with existing modified Weibull distributions using various types of hazard functions. We also use real data example to illustrate the efficiency of the proposed distribution.

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