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Poisson–logarithmic half‑logistic distribution with inference under a progressive‑stress model based on adaptive type‑II progressive hybrid censoring

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Last updated: 31 Dec 2024

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Abstract

The researchers, engineers, and physical experimenters may face difficulty to get a distribution
that fits the failure data arising from certain systems. So, in this paper, a new
distribution is introduced, named Poisson–logarithmic half-logistic distribution, based
on a parallel–series system's failure times. Specific statistical properties are investigated
for the introduced distribution. Also, two real data sets are considered to compare the
introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to follow the new distribution at normal stress conditions. Different estimation methods, such as maximum likelihood, percentile, least squares, and weighted least square methods, are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods, a simulation study is conducted, as well as numerical calculations

DOI

10.1186/s42787-022-00148-9

Keywords

The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, a new distribution is introduced, named Poisson–logarithmic half-logistic distribution, based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also, two real data sets are considered to compare the introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to, such as maximum likelihood, percentile, Least squares, and weighted least square methods, are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods, a simulation study is conducted, as well as numerical calculations

Volume

30

Article Issue

1

Related Issue

51015

Issue Date

2022-01-01

Receive Date

2024-10-17

Publish Date

2022-01-01

Page Start

1

Page End

33

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 30_Issue 1_Pages 1-33.pdf

PDF . 3.5MB

Link

https://joems.journals.ekb.eg/article_386763.html

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https://joems.journals.ekb.eg/service?article_code=386763

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386,763

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Poisson–logarithmic half‑logistic distribution with inference under a progressive‑stress model based on adaptive type‑II progressive hybrid censoring

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Article

Created At

21 Dec 2024