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Journal ArticleDOI

The transmuted odd log-logistic-G family of distributions

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TLDR
In this article, a new class of models called the transmuted odd log-logistic-G family is proposed and studied and the method of maximum likelihood is used to estimate the unknown parameters.
Abstract
A new class of models called the transmuted odd log-logistic-G family IS proposed and studied. The method of maximum likelihood is used to estimate the unknown parameters. The performance of the ma...

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Citations
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Journal ArticleDOI

The Discrete Analogue of the Weibull G Family: Properties, Different Applications, Bayesian and Non-Bayesian Estimation Methods

TL;DR: In this article, a new discrete analogue of the Weibull class was proposed and studied, and the hazard rate function of the new family can be "upside down", "increasing", "decreasing", "constant", "J-hazard rate function", and "double upside down" and "increasing-constant".
Journal ArticleDOI

The transmuted alpha power-G family of distributions

TL;DR: In this article, a new class of models called the transmuted alpha power-G (TAPO-G) family of distribution for modeling lifetime processes is proposed, which extends the well-known existing...
Journal ArticleDOI

A New Compound Lomax Model: Properties, Copulas, Modeling and Risk Analysis Utilizing the Negatively Skewed Insurance Claims Data

TL;DR: This study proposes a novel three-parameter compound Lomax extension that provides the lowest statistic testing based on two real data sets andlevant mathematical properties are determined, including mean waiting time, mean deviation, raw and incomplete moments, residual life moments, and moments of the reversed residual life.
References
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Journal ArticleDOI

How to Identify a Bathtub Hazard Rate

TL;DR: In this paper, a new test statistic, based on the TTT plot, for testing if a random sample is generated from a life distribution with constant versus bathtub-shaped hazard rate is presented.
Journal ArticleDOI

A new method for generating families of continuous distributions

TL;DR: In this article, a new method is proposed for generating families of continuous distributions, where a random variable is used to transform another random variable and the resulting family, the $$T$$¯¯ -=-=-=-=-=-=-=-=-=-=-=-=- family of distributions, has a connection with the hazard functions and each generated distribution is considered as a weighted hazard function.
Journal ArticleDOI

A General Purpose Approximate Goodness-of-Fit Test

TL;DR: Skewed distributions play an important role in the analysis of data from quality and reliability experiments as discussed by the authors, and very often unknown parameters must be estimated from the sample data in order to test whether the data has come from a certain family of distri
Book ChapterDOI

A Characterization Theorem Based on Truncated Moments and its Application to Some Distribution Families

TL;DR: In this article, a new representation theorem for distributions of real-valued random variables is presented, which is based on a relationship between different truncated moments of the same random variable.
Journal ArticleDOI

Some consequences of a characterization theorem based on truncated moments

TL;DR: In this article, it was shown that this characterization is stable in the sense of weak convergence, and some consequences of this stability theorem and the above characterization are discussed in Section 2.1.
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