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Exponential Lomax Distribution

A. H. El-Bassiouny, +2 more
- 18 Jul 2015 - 
- Vol. 121, Iss: 13, pp 24-29
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TLDR
It is shown that the introduced model is more competitive than other models and its statistical properties, such as, quantiles, moments, mean deviation and maximum likelihood estimators of its parameters are discussed.
Abstract
In this paper, A new distribution called Exponential Lomax distribution is introduced It is seemed that the parameter values of our new distribution are depending on decreasing and upside-down bathtub failure rate function Also, the statistical properties of this model are studied, such as, quantiles, moments, mean deviation Moreover, maximum likelihood estimators of its parameters are discussed Finally, the procedure is illustrated by real data set It is shown that the introduced model is more competitive than other models

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The power Lomax distribution with an application to bladder cancer data.

TL;DR: A three-parameters continuous distribution, namely, Power Lomax distribution (POLO) is proposed and studied for remission times of bladder cancer data and the characteristics of the fitting data using the proposed distribution are compared with known extensions of LomAX distribution.
Journal ArticleDOI

A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate

TL;DR: In this article, the Gompertz Lomax distribution was extended using the GOMpertz family of distribution, its resulting densities and statistical properties were carefully derived, and the method of maximum likelihood estimation was proposed in estimating the model parameters.
Journal ArticleDOI

Weighted Lomax distribution

TL;DR: The parameters of this distribution are estimated by the method of moments and the maximum likelihood estimation method and the observed information matrix is derived and an application of the model to a real data set is presented and compared with other well-known distributions.
Journal ArticleDOI

The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data

TL;DR: In this article, the odd Weibull inverted Topp-Leone (OWITL) distribution is used to estimate the unknown parameters of OWITL distribution, maximum likelihood, least square, weighted least squares, maximum product spacing, Cramer-von Mises estimators, and Anderson-Darling estimation methods are used.
Journal ArticleDOI

The Topp Leone odd Lindley-G family of distributions : Properties and applications

TL;DR: The Topp Leone odd Lindley-G family as mentioned in this paper is a class of continuous distributions with the same mathematical properties as the Topp-Leone-Owles family.
References
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Journal ArticleDOI

Residual Life Time at Great Age

A. A. Balkema, +1 more
TL;DR: In this article, the asymptotic behavior of the residual life time at time $t$ is investigated (for $t \rightarrow \infty) for weak limit laws and their domains of attraction and rates of convergence and moment convergence.
Journal ArticleDOI

Business Failures: Another Example of the Analysis of Failure Data

TL;DR: An analysis of data on failures of four types of business in Poughkeepsie, New York, from 1844 to 1926 confirms that the conditional probabilities of failure for these four series are well described by both exponential and hyperbolic functions.
Journal ArticleDOI

A Look at the Burr and Related Distributioni

TL;DR: The relationship between the Burr distribution and the various other distributions, namely, the Lomax, the Compound Weibull, the Weibell-Exponential, the logistic, log logistic and the Kappa family of distributions is summarized in this paper.
Journal ArticleDOI

Distribution of Personal Wealth in Britain.

TL;DR: The lives of some of these remarkable individualistic characters are the subject of a book by Colloms as mentioned in this paper, which provides a brief historical outline of the status, social and economic, of the cleric since Chaucer's day, culminating in the high noon of his prosperity in the latter part of the late nineteenth century.
Journal ArticleDOI

On some lifetime distributions with decreasing failure rate

TL;DR: A new two-parameter distribution family with decreasing failure rate arising by mixing power-series distribution and exponential distribution is introduced and various properties of this family are discussed and the estimation of parameters are obtained by method of maximum likelihood.
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