A Log-Exp inverse Weibull Model for coherent systems with zero-truncated Poisson-Lindley components

Subject Areas : Statistics

Morteza Ghasemi Cherati ¹ , Ezzatallah Baloui Jamkhaneh ^{2 *} , Einolah Deiri ³

1 - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
2 - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
3 - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

Received: 2021-12-01 Accepted : 2022-03-07 Published : 2024-01-18

Keywords: لگ ‌نمایی-وایبل معکوس, حداقل فاصله کرامر-ون-میسز, ساختار موازی, پواسن‌لیندلی بریده‌شده در صفر,

Abstract :

In this paper, we proposed two new distributions for a coherent system that is equipped with series or parallel components. The count of components is a zero truncated Poisson Lindley random variable. We considered the Log Exponential-inverse Weibull distribution and set it as the baseline distribution of the coherent system. Besides introducing two flexible distributions, named PL-LEIW1 and PL-LEIW2, with various-shaped failure function, the statistical properties and estimation approaches with the parametric and non-parametric context has been studied, comprehensively. Due to different probability density and failure functions, these two distributions based on series or parallel systems, can be fitted to different types of data sets. Different estimation methods of the parameters as maximum likelihood estimation, maximum product of spacing estimation, least squares estimation and Cramér-von-Mises minimum distance estimation are compared through the Monte Carlo simulation approaches. The applicability of the proposed distributions have been evaluated by two real data sets.

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