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Relative Frequency of Order Statistics in Independent and Identically Distributed Random Vectors
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 Title & Authors
Relative Frequency of Order Statistics in Independent and Identically Distributed Random Vectors
Park, So-Ryoung; Kwon, Hyoung-Moon; Kim, Sun-Yong; Song, Iick-Ho;
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 Abstract
The relative frequency of order statistics is investigated for independent and identically distributed (i.i.d.) random variables. Specifically, it is shown that the probability is no less than the probability at any point when r denotes the r-th order statistic of an i.i.d. discrete random vector and depends on the population probability distribution. A similar result for i.i.d. continuous random vectors is also presented.
 Keywords
Order statistic;Probability mass function;Probability density function;Relative frequency;
 Language
Korean
 Cited by
1.
On the sums of probability functions of order statistics,;;;;;

Journal of the Korean Statistical Society, 2013. vol.42. 2, pp.257-265 crossref(new window)
1.
On the sums of probability functions of order statistics, Journal of the Korean Statistical Society, 2013, 42, 2, 257  crossref(new windwow)
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