The Odd Log-Logistic Generalized Half-Normal Lifetime Poisson Model

Fazlollah Lak; Mehdi Basikhasteh; M. Alizadeh; Haitham M. Yousof

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The Odd Log-Logistic Generalized Half-Normal Lifetime Poisson Model

Author(s)

Fazlollah Lak Department of Statistics Persian Gulf University, Bushehr, Iran

Mehdi Basikhasteh Department of Mathematics Dezful Branch,Islamic Azad University, Dezful, Iran

M. Alizadeh Department of Statistics Persian Gulf University, Bushehr, Iran

Haitham M. Yousof Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt

Abstract

Recently, Corderio et al. (2016) applied a model called odd-logistic generalized half-normal distribution for describing fatigue lifetime data, based on this model, we propose a new wider model with a strong physical motivation called the odd-log-logistic generalized half-normal poisson distribution which is commonly used in reliability studies and modeling maximum of a random number of lifetime variables. Various of its structural properties are derived. The method of maximum likelihood is adapted to estimate the model parameters and its potentiality is illustrated with applications to two real fatigue data sets. For different parameter settings and sample sizes, some simulation studies compare the performance of the new lifetime model.

Publication Details

Page(s) 111-128

DOI DOI not available

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 3, Year: 2018

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Keywords

maximum likelihood estimation, survival data, Generating Function, Truncated Poisson distribution, Generalized half-normal distribution

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