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Full-Text Articles in Physical Sciences and Mathematics
Weighted Distributions: A Brief Review, Perspective And Characterizations, Aamir Saghir, Gholamhossein G. Hamedani, Sadaf Tazeem, Aneeqa Khadim
Weighted Distributions: A Brief Review, Perspective And Characterizations, Aamir Saghir, Gholamhossein G. Hamedani, Sadaf Tazeem, Aneeqa Khadim
Mathematics, Statistics and Computer Science Faculty Research and Publications
The weighted distributions are widely used in many fields such as medicine, ecology and reliability, to name a few, for the development of proper statistical models. Weighted distributions are milestone for efficient modeling of statistical data and prediction when the standard distributions are not appropriate. A good deal of studies related to the weight distributions have been published in the literature. In this article, a brief review of these distributions is carried out. Implications of the differing weight models for future research as well as some possible strategies are discussed. Finally, characterizations of these distributions based on a simple relationship …
Characterizations Of Kumaraswamy-Laplace, Mcdonald Inverse Weibull And New Generalized Exponential Distributions, Gholamhossein G. Hamedani
Characterizations Of Kumaraswamy-Laplace, Mcdonald Inverse Weibull And New Generalized Exponential Distributions, Gholamhossein G. Hamedani
Mathematics, Statistics and Computer Science Faculty Research and Publications
Nassar (2016) considers an interesting univariate continuous distribution called Kumaraswamy-Laplace which has different forms on two subintervals. He studies certain properties and applications of this distribution. Shahbaz et al. (2016) consider another interesting distribution called McDonald Inverse Weibull distribution. They present some basic properties of their distribution and study the estimations of the parameters as well as discussing its application via an illustrative example. What is lacking in both papers, in our opinion, is the characterizations of these two interesting distributions. the present work is intended to complete, in some way, the works of Nassar and Shahbaz et al. via …
A Short Note On The Paper: "New Characterizations Of The Pareto Distribution", Gholamhossein G. Hamedani, M. Rasekhi
A Short Note On The Paper: "New Characterizations Of The Pareto Distribution", Gholamhossein G. Hamedani, M. Rasekhi
Mathematics, Statistics and Computer Science Faculty Research and Publications
Nofal and El Gebaly (2017), presented certain characterizations of the Pareto distribution based on the conditional expectations of power of the order statistics. In this short note we show that the same results can easily be obtained in terms of the power of the random variable.