Recurrence relations for moments of order statistics from half logistic-truncated exponential distribution

Gul, Ahtasham; Mohsin, Muhammad

doi:10.1080/03610926.2019.1710753

Cited by 4 publications

(5 citation statements)

References 10 publications

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“…Corollary 2.2.2. If X T be a HL-TEXPD stochastic variable, then variance, skewness and kurtosis can be computed using (24) to (27) Proof. Since ð31Þ…”

Section: Plos Onementioning

confidence: 99%

“…5 Conclusion [24] introduced a new modified form of renowned "Half logistic" distribution introduced by [1] so-called Half-logistic Truncated Exponential distribution (HL-TEXPD). Some mathematical characteristics of HL-TEXPD are studied.…”

Section: Plos Onementioning

confidence: 99%

“…2 Half Logistic-Truncated Exponential Distribution (HL-TEXPD) [24,25] suggested a new method for generating a family of truncated distributions called T-X T family of distributions by using a new function given as:…”

Section: Introductionmentioning

confidence: 99%

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Half logistic-truncated exponential distribution: Characteristics and applications

Gul,

Sandhu,

Farooq

et al. 2023

PLoS ONE

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Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, Pth percentile, moment generating function and Shannon entropy. Simulation study is performed to examine the behaviour of parameter estimates. The proposed model is fitted on three real data sets to check its efficacy. Additionally, TTT (total time on test) plot is drawn to study the failure rate of the three data sets. The results verdict that HL-TEXPD can be efficiently utilized in the field of engineering and medical sciences based on the data sets under study contrary to the classical and baseline models.

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“…Corollary 2.2.2. If X T be a HL-TEXPD stochastic variable, then variance, skewness and kurtosis can be computed using (24) to (27) Proof. Since ð31Þ…”

Section: Plos Onementioning

confidence: 99%

Section: Plos Onementioning

confidence: 99%

See 1 more Smart Citation

Half logistic-truncated exponential distribution: Characteristics and applications

Gul,

Sandhu,

Farooq

et al. 2023

PLoS ONE

Self Cite

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“…For the HL-truncated exponential (HLTE) distribution, Gul and Mohsin (2021) derived recurrence relations for the single moments and product moments of order statistics for various values of scale parameter. The recurrence relations are used to tabulate the means, variances, and covariances in samples of size n = 1(1)10 and to determine the first k moments of all order statistics quickly and easily.…”

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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“…[ 25 ] suggests a new method for generating a family of truncated distributions called T- X T family of distributions by using a new function given as …”

Section: Weibull-truncated Exponential Distribution (W-texpd)mentioning

confidence: 99%

A modified truncated distribution for modeling the heavy tail, engineering and environmental sciences data

Gul¹,

Mohsin²,

Adil³

et al. 2021

PLoS ONE

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Truncated models are imperative to efficiently analyze the finite data that we observe in almost all the real life situations. In this paper, a new truncated distribution having four parameters named Weibull-Truncated Exponential Distribution (W-TEXPD) is developed. The proposed model can be used as an alternative to the Exponential, standard Weibull and shifted Gamma-Weibull and three parameter Weibull distributions. The statistical characteristics including cumulative distribution function, hazard function, cumulative hazard function, central moments, skewness, kurtosis, percentile and entropy of the proposed model are derived. The maximum likelihood estimation method is employed to evaluate the unknown parameters of the W-TEXPD. A simulation study is also carried out to assess the performance of the model parameters. The proposed probability distribution is fitted on five data sets from different fields to demonstrate its vast application. A comparison of the proposed model with some extant models is given to justify the performance of the W-TEXPD.

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Recurrence relations for moments of order statistics from half logistic-truncated exponential distribution

Cited by 4 publications

References 10 publications

Half logistic-truncated exponential distribution: Characteristics and applications

Half logistic-truncated exponential distribution: Characteristics and applications

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

A modified truncated distribution for modeling the heavy tail, engineering and environmental sciences data

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