A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets

Year 2019, Volume: 7 Issue: 1, 102 - 112, 30.04.2019

Omid Kharazmi , Ali Saadatinik Mostafa Tamandi

https://doi.org/10.36753/mathenot.559265

Cited By: 1

Abstract

Kharazmi and Saadatinik [21] introduced a new family of distribution called hyperbolic cosine – F (HCF)

distributions. They studied some properties of this model and obtained the estimates of its parameters by

different methods. In this paper, it is focused on a special case of HCF family withWeibull distribution

as a baseline model. Various properties of the proposed distribution including explicit expressions

for the moments, quantiles, moment generating function, failure rate function, mean residual lifetime,

order statistics and expression of the entropies are derived. Superiority of this model is proved in some

simulations and applications.

Keywords

Hyperbolic cosine function , Weibull distribution , Hazard function , Mean residual life time , Maximum likelihood estimates

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