The Odd Log-Logistic Generalized Half-Normal Lifetime Poisson Model | [Pakistan Journal of Statistics and Operation Research • 2018]

Author(s):

1. Fazlollah Lak: Department of Statistics Persian Gulf University, Bushehr, Iran

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

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

4. 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.

Page(s): 111-128

DOI: DOI not available

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

Keywords:

maximum likelihood estimation , survival data , Generating Function , Truncated Poisson distribution , Generalized halfnormal distribution

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