Majorization bounds for distribution functions

Ismihan Bairamov

Statistics & Probability Letters, 2012, vol. 82, issue 10, 1799-1806

Abstract: For a univariate distribution function (cdf) the upper and lower bounds expressed in terms of mixtures of cdf’s of order statistics are obtained. For a bivariate cdf, similar bounds, expressed in terms of mixtures of joint cdf’s of order statistics and their concomitants, are given. It is shown that these bounds converge to the corresponding cdf.

Keywords: Order statistics; Concomitants; Majorization (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.06.005

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