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The Odd Generalized Exponential Linear Failure Rate Distribution

TLDR
In this paper, the odd generalized exponential linear failure rate distribution is proposed to model the lifetime of data and some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode are investigated.
Abstract
In this paper we propose a new lifetime model, called the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode are investigated. The method of maximum likelihood is used for estimating the model parameters. An applications to real data is carried out to illustrate that the new distribution is more flexible and effective than other popular distributions in modeling lifetime data.

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Journal ArticleDOI

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions III

TL;DR: In this article, characterizations of recently proposed univariate continuous distributions are presented in different directions, which may be a source of preventing reinventing and duplicating the existing distributions and calling them newly proposed distributions.
Journal ArticleDOI

Maximum likelihood estimation in the odd generalized exponential-exponential distribution

TL;DR: In this article, a new distribution called odd generalized exponential-exponential distribution (OGE-E(Θ)) was proposed for modeling lifetime data and a comprehensive study of the cumulative distribution function, probability density function, survival and hazard function of the new distribution were presented.
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform

Table Of Integrals Series And Products

TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Journal ArticleDOI

Generalized Exponential Distributions

TL;DR: In this article, a three-parameter generalized exponential distribution (GED) was used for analysis of lifetime data, which is a particular case of the exponentiated Weibull distribution originally proposed by Mudholkar et al.
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.
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