Notes on the exponentiated half logistic distribution

Seo, Jung-In; Kang, Suk‐Bok

doi:10.1016/j.apm.2015.01.039

Cited by 32 publications

(21 citation statements)

References 10 publications

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“…Due to its wide application, the model has attracted several authors to propose its extension for added flexibility in modeling, for example, generalized half logistic (GHL) [14], power half logistic (PwHL) [15], Olapadehalf logistic (OHL) [16] etc. Among them, we are interested in the two-parameters generalized half logistic distribution, some statistical studies and usefulness of the GHL can be found in [17].…”

Section: The Poighl Model and Propertiesmentioning

confidence: 99%

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A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data

Muhammad

Liu

2019

Entropy

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In this paper, we introduced a new three-parameter probability model called Poisson generalized half logistic (PoiGHL). The new model possesses an increasing, decreasing, unimodal and bathtub failure rates depending on the parameters. The relationship of PoiGHL with the exponentiated Weibull Poisson (EWP), Poisson exponentiated Erlang-truncated exponential (PEETE), and Poisson generalized Gompertz (PGG) model is discussed. We also characterized the PoiGHL sub model, i.e the half logistic Poisson (HLP), based on certain functions of a random variable by truncated moments. Several mathematical and statistical properties of the PoiGHL are investigated such as moments, mean deviations, Bonferroni and Lorenz curves, order statistics, Shannon and Renyi entropy, Kullback-Leibler divergence, moments of residual life, and probability weighted moments. Estimation of the model parameters was achieved by maximum likelihood technique and assessed by simulation studies. The stress-strength analysis was discussed in detail based on maximum likelihood estimation (MLE), we derived the asymptotic confidence interval of R = P ( X 1 < X 2 ) based on the MLEs, and examine by simulation studies. In three applications to real data set PoiGHL provided better fit and outperform some other popular distributions. In the stress-strength parameter estimation PoiGHL model illustrated as a reliable choice in reliability analysis as shown using two real data set.

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Section: The Poighl Model and Propertiesmentioning

confidence: 99%

“…The measures md 1 (x) and md 2 (x) can be calculated using the relationship J(.). By considering (17) we have…”

Section: Mean Deviations Bonferroni and Lorenz Curvesmentioning

confidence: 99%

A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data

Muhammad

Liu

2019

Entropy

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“…In this section, We consider a real dataset. This dataset from [9] This dataset has been previously analyzed by [16] etc. Here we fit the dataset with generalized inverted half-logistic distribution.…”

Section: Real Illustrative Examplementioning

confidence: 99%

Different estimation methods and joint confidence regions for the parameters of a generalized inverted family of distributions

Gui¹,

Guo

2016

HJMS

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In this paper, we deal with the problem of estimating the parameters of a generalized inverted family of distributions. We propose the inverse moment and modified inverse moment estimators of the parameters. The existence and uniqueness of inverse moment and modified inverse moment estimators is derived. Monte Carlo simulations are conducted to compare their performances with maximum-likelihood estimators. Two methods for constructing joint confidence regions for the two parameters are also proposed and their performances are discussed. A numerical example is presented to illustrate the methods.

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“…respectively. [17] discussed some important properties and application of the generalized half logistic distribution. [18] investigated the estimation of multicomponent stressstrength reliability based on generalized half logistic.…”

Section: Introductionmentioning

confidence: 99%

A New Three Parameter Lifetime Model: The Complementary Poisson Generalized Half Logistic Distribution

Muhammad

Liu

2021

IEEE Access

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We propose a new model with flexible failure rate called complementary Poisson generalized half logistic (CPGHL). Various properties of the model are explored and examine numerically such as the explicit expressions of the moments, mean deviations, Bonferroni and Lorenz curves, Shannon and Renyi entropy. The distribution of mixture of two CPGHL and some related models based on the log-transform of CPGHL are discussed. The asymptotic of moments of residual life and asymptotic distribution of order statistics are obtained. The characterization of Poisson half logistic (PHL) by truncated moments of a certain function of a random variable is discussed. Estimation of the model parameters was approached by maximum likelihood, least square, and percentile methods. Further, the estimation by maximum likelihood for right censored data of the model were considered. The proposed estimation techniques were assessed by simulation studies. Three data applications are provided one of them is a censored data to demonstrate how the new model outperforms some other existing distribution in practice.INDEX TERMS generalized (exponentiated) half logistic model, least square estimation, maximum likelihood estimation, moments, moments residual life, percentile method of estimation, Renyi entropy, Shannon entropy

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Notes on the exponentiated half logistic distribution

Cited by 32 publications

References 10 publications

A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data

A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data

Different estimation methods and joint confidence regions for the parameters of a generalized inverted family of distributions

A New Three Parameter Lifetime Model: The Complementary Poisson Generalized Half Logistic Distribution

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