Bayesian Analysis of Topp-Leone Distribution under Different Loss Functions and Different Priors

Sultan, Hummara; Ahmad, Sajjad

doi:10.18576/jsapl/030302

Cited by 5 publications

(2 citation statements)

References 6 publications

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“…Other nontrivial properties on the Topp-Leone distribution can be found in, e.g., [2][3][4]. For the use of the Topp-Leone distribution in different applied statistical settings, we refer the reader to [5][6][7][8]. Some extensions of the Topp-Leone distribution can be found in [9,10].…”

Section: Introductionmentioning

confidence: 99%

Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications

Bantan

Jamal²,

Chesneau

et al. 2020

Symmetry

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In this paper, we present and study a new family of continuous distributions, called the type II power Topp-Leone-G family. It provides a natural extension of the so-called type II Topp-Leone-G family, thanks to the use of an additional shape parameter. We determine the main properties of the new family, showing how they depend on the involving parameters. The following points are investigated: shapes and asymptotes of some important functions, quantile function, some mixture representations, moments and derivations, stochastic ordering, reliability and order statistics. Then, a special model of the family based on the inverse exponential distribution is introduced. It is of particular interest because the related probability functions are tractable and possess various kinds of asymmetric shapes. Specially, reverse J, left skewed, near symmetrical and right skewed shapes are observed for the corresponding probability density function. The estimation of the model parameters is performed by the use of three different methods. A complete simulation study is proposed to illustrate their numerical efficiency. The considered model is also applied to analyze two different kinds of data sets. We show that it outperforms other well-known models defined with the same baseline distribution, proving its high level of adaptability in the context of data analysis.

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Section: Introductionmentioning

confidence: 99%

Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications

Bantan

Jamal²,

Chesneau

et al. 2020

Symmetry

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“…Indeed, the pdf of a generator is transformed into a new pdf through the cdf () G  of a parent distribution. The TL distribution is a continuous unimodal distribution with a wide range of applications in reliability fields and is used for modeling lifetime phenomena, which has a J-shaped density function with a bathtub-shaped hazard function [15].…”

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confidence: 99%

A Topp-Leone generator of exponentiated power Lindley distribution and its application

Aryuyuen¹

2018

ams

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A new framework for generating lifetime distributions is proposed, which is called the Topp-Leone Exponentiated Power Lindley (TL-EPL) distribution. Submodels of the TL-EPL distribution, such as the Topp-Leone Power Lindley, Topp-Leone Generalized Lindley, and Topp-Leone Lindley, are introduced. Some statistical characteristics of the distributions are investigated (i.e., mean, variance, and functions of survival, hazard, and quantile). The maximum likelihood estimation is used to estimate the parameters of each distribution. Some real data sets are fitted in order to illustrate the usefulness of the proposed distribution.

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The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset

Oguntunde

Khaleel

Okagbue

et al. 2019

Wireless Pers Commun

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The Lomax distribution was extended in this paper using the Topp-Leone family of distributions. Some of its specific structural properties were established and the model parameters were estimated using maximum likelihood estimation method. The usefulness of the Topp-Leone Lomax distribution was demonstrated using an airbone communication transceiver dataset and comparison were made with respect to the Topp-Leone Burr XII, Topp-Leone Flexible Weibull and Lomax distributions. This is a preview of subscription content, access via your institution. Access options Buy single articleInstant access to the full article PDF.

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Bayesian Analysis of Topp-Leone Distribution under Different Loss Functions and Different Priors

Cited by 5 publications

References 6 publications

Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications

Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications

A Topp-Leone generator of exponentiated power Lindley distribution and its application

The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset

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