Weighted Lomax distribution

Kilany, N. M.

doi:10.1186/s40064-016-3489-2

Cited by 37 publications

(26 citation statements)

References 27 publications

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“…Besides, there are many variants of Lomax distribution, such as the McDonald Lomax distribution with five parameters ( [5]), gamma Lomax distribution ( [6]) and weighted Lomax distribution ( [7]). Apparently, Lomax distribution is of great importance in statistics and probability.…”

Section: Introductionmentioning

confidence: 99%

Estimating the Entropy for Lomax Distribution Based on Generalized Progressively Hybrid Censoring

Liu

Gui

2019

Symmetry

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As it is often unavoidable to obtain incomplete data in life testing and survival analysis, research on censoring data is becoming increasingly popular. In this paper, the problem of estimating the entropy of a two-parameter Lomax distribution based on generalized progressively hybrid censoring is considered. The maximum likelihood estimators of the unknown parameters are derived to estimate the entropy. Further, Bayesian estimates are computed under symmetric and asymmetric loss functions, including squared error, linex, and general entropy loss function. As we cannot obtain analytical Bayesian estimates directly, the Lindley method and the Tierney and Kadane method are applied. A simulation study is conducted and a real data set is analyzed for illustrative purposes.

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Section: Introductionmentioning

confidence: 99%

Estimating the Entropy for Lomax Distribution Based on Generalized Progressively Hybrid Censoring

Liu

Gui

2019

Symmetry

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“…Ghitany et al [7] investigated the Marshal-Olkin extended L distribution, Abdul-Moniem and Abdel-Hameed [1] studied the exponentiated L distribution, Lemonte and Cordeiro [10] proposed the McDonald L, Cordeiro et al [4] investigated the gamma L distribution. The exponential L distribution is studied by ElBassiouny et al [6], Tahir et al [15] introduced Weibull L, Al-Weighted L introduced by Kilany [9] and Power Lomax (PL) distribution is studied by Rady et al [14]. Recently The HLL distribution is studied by Anwar and Zahoor [2] and it has the following cumulative distribution function (cdf) and probability density function (pdf) as…”

Section: Introductionmentioning

confidence: 99%

Different methods of estimation for the parameters of half logistic Lomax distribution

Aldahlan¹

2019

ams

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The half logistic Lomax (HLL) is introduced as a modification of Lomax distribution for modeling lifetime data by Anwar and Zahoor [2]. Maximum likelihood (ML), least squares (LS), weighted least squares (WLS), percentiles (PC) and Cramer von Mises (CV) estimation techniques for the shape and scale parameters of HLL are regarded for complete sample. Performances of the proposed ML estimators are compared with their LS, WLS, PC and CV estimators on the basis of Monte Carlo study of simulated samples in terms of their risks.

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“…Modified and extended versions of the Lomax distribution have been studied; examples include the weighted Lomax distribution [4], exponential Lomax distribution [5], exponentiated Lomax distribution [6], gamma Lomax distribution [7], transmuted Lomax distribution [8], Poisson Lomax distribution [9], McDonald Lomax distribution [10], Weibull Lomax distribution [11], and power Lomax distribution [12]. Besides, estimation of the parameters of Lomax distribution under general progressive censoring has also been considered by Al-Zahrani and Al-Sobhi [1].…”

Section: Introductionmentioning

confidence: 99%

“…The distribution was defined by Lomax [2] and it is a heavy-tailed distribution. It has also been considered to be useful in reliability and life testing problems in engineering and in survival analysis as an alternative distribution [3,4].…”

Section: Introductionmentioning

confidence: 99%

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

Oguntunde

Khaleel

Ahmed

et al. 2017

Modelling and Simulation in Engineering

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Developing new compound distributions which are more flexible than the existing distributions have become the new trend in distribution theory. In this present study, the 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. A simulation study to assess the performance of the parameters of Gompertz Lomax distribution was provided and an application to real life data was provided to assess the potentials of the newly derived distribution. Excerpt from the analysis indicates that the Gompertz Lomax distribution performed better than the Beta Lomax distribution, Weibull Lomax distribution, and Kumaraswamy Lomax distribution.

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Weighted Lomax distribution

Cited by 37 publications

References 27 publications

Estimating the Entropy for Lomax Distribution Based on Generalized Progressively Hybrid Censoring

Estimating the Entropy for Lomax Distribution Based on Generalized Progressively Hybrid Censoring

Different methods of estimation for the parameters of half logistic Lomax distribution

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

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