On order statistics from nonidentical discrete random variables
نویسندگان
چکیده
منابع مشابه
Bounds for CDFs of Order Statistics Arising from INID Random Variables
In recent decades, studying order statistics arising from independent and not necessary identically distributed (INID) random variables has been a main concern for researchers. A cumulative distribution function (CDF) of these random variables (Fi:n) is a complex manipulating, long time consuming and a software-intensive tool that takes more and more times. Therefore, obtaining approximations a...
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In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this paper, we derive a method for obtaining the Laplace transform of order statistics (o.s.) arising fro...
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Let X(i) < • • • < X(^) be the order statistics from n independent nonidentically distributed exponential random variables. We investigate the dependence structure of these order statistics, and provide a distributional identity that facilitates their simulation and the study of their moment properties. Next, we consider the partial sum Ti — Yl^=i^i ^{j)'> 0 < i < n — 1. We obtain an explicit e...
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A algorithm for computing the PDF of order statistics drawn from discrete parent populations is presented, along with an implementation of the algorithm in a computer algebra system. Several examples and applications, including exact bootstrapping analysis, illustrate the utility of this algorithm. Bootstrapping procedures require that B bootstrap samples be generated in order to perform statis...
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In this study, the joint distributions of order statistics of innid random variables are expressed. Then, some results connecting distributions of order statistics of innid random variables to that of order statistics of iid random variables are given. 2010 Mathematics Subject Classification: 62G30, 62E15
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ژورنال
عنوان ژورنال: Open Physics
سال: 2016
ISSN: 2391-5471
DOI: 10.1515/phys-2016-0022