Some Properties and Estimation of Parameters for the Five Parameter Type I Generalized Half Logistic Distribution under Complete Observation

Bello, Olalekan Akanji; Awodutire, Phillip Oluwatobi; Ibrahim, S.; Lawal, Hammed Olanrewaju

doi:10.9734/arjom/2020/v16i430185

Cited by 2 publications

(1 citation statement)

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“…Based on a progressively type-II censored sample from the GHL distribution, Azimi, Yaghmaei, and Fasihi (2013) investigated the Bayesian and E-Bayesian (expectation of the BE) estimators for the parameter and SF under the LINEX and squarederror loss functions. The moment of order statistics and MLE based on complete observations of the five parameter type-I GHL distribution were explored in Bello, Awodutire, Sule, and Lawal (2020). On the basis of comprehensive and censored data, Torabi and Bagheri (2010) estimated the parameters for an extended GHL distribution.…”

Section: Hl and Related Contributionsmentioning

confidence: 99%

On the Type-I Half-logistic Distribution and Related Contributions: A Review

Muhammad,

Tahir,

Liu

et al. 2023

AJS

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The half-logistic (HL) distribution is a widely considered statistical model for studying lifetime phenomena arising in science, engineering, finance, and biomedical sciences. One of its weaknesses is that it has a decreasing probability density function and an increasing hazard rate function only. Due to that, researchers have been modifying the HL distribution to have more functional ability. This article provides an extensive overview of the HL distribution and its generalization (or extensions). The recent advancements regarding the HL distribution have led to numerous results in modern theory and statistical computing techniques across science and engineering. This work extended the body of literature in a summarized way to clarify some of the states of knowledge, potentials, and important roles played by the HL distribution and related models in probability theory and statistical studies in various areas and applications. In particular, at least sixty-seven flexible extensions of the HL distribution have been proposed in the past few years. We give a brief introduction to these distributions, emphasizing model parameters, properties derived, and the estimation method. Conclusively, there is no doubt that this summary could create a consensus between various related results in both theory and applications of the HL-related models to develop an interest in future studies.

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Section: Hl and Related Contributionsmentioning

confidence: 99%