The Topp-Leone type II exponentiated half logistic-G family of distributions with applications

The new Ristić and Balakhrisnan or Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G (RB-TL-TII-EHL-G) family of distributions is introduced and investigated in this paper. This work derives and studies some of the main statistical characteristics of this new family of distributions. The maximum likelihood estimation technique is used to estimate the model parameters, and a simulation study is used to assess the consistency of the estimators. Applications to three real-life datasets from various fields show the value and adaptability of the new RB-TL-TII-EHL-G family of distributions. From our results, it is evident that the new proposed distribution is flexible enough to characterize datasets from different fields compared to several other existing distributions in the literature.

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“…for b, a > 0 and baseline parameter vector ψ (see [35] for additional details). The gamma generator proposed by [36] has the cdf and pdf given by…”

Section: Introductionmentioning

confidence: 99%

The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications

Oluyede

Moakofi

2023

Stats

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New Lomax-G family of distributions: Statistical properties and applications

Sapkota,

Kumar,

Gemeay

et al. 2023

AIP Advances

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This research article introduces a new family of distributions developed using the innovative beta-generated transformation technique. Among these distributions, the focus is on the inverse exponential power distribution, which exhibits unique reverse-J, inverted bathtub, or monotonically increasing hazard functions. This paper thoroughly investigates the distribution’s key characteristics and utilizes the maximum likelihood estimation method to determine its associated parameters. To assess the accuracy of the estimation procedure, the researchers conducted a simulation experiment, revealing diminishing biases and mean square errors with increasing sample sizes, even when working with small samples. Moreover, the practical applicability of the proposed distribution is demonstrated by analyzing real-world COVID-19 and medical datasets. The article establishes that the proposed model outperforms existing models by using model selection criteria and conducting goodness-of-fit test statistics. The potential applications of this research extend to various fields where modeling and analyzing hazard functions or survival data are crucial. Additionally, the study contributes to advancing probability theory and statistical inferences.

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An Extended UEHL Distribution: Properties and Applications

Genç,

Özbilen

2024

Celal Bayar Üniversitesi Fen Bilimleri Dergisi

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This study introduces a new distribution, a Lehmann-type exponentiated distribution, which is built upon the unit exponentiated half-logistic distribution. The analytical characteristics of the proposed distribution, like moments, moment-generating function, quantiles, and stress-strength reliability, are explored in detail. The renowned maximum likelihood estimation method is employed for the statistical inference of the distribution’s parameters. A computer experiment is run to explore the performance of the maximum likelihood estimates of the distribution parameters under diverse scenarios. Additionally, the practicality and efficacy of the distribution are illustrated through a numerical example using a real-world dataset.

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The Topp-Leone type II exponentiated half logistic-G family of distributions with applications

Cited by 3 publications

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The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications

The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications

New Lomax-G family of distributions: Statistical properties and applications

An Extended UEHL Distribution: Properties and Applications

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