Some characterizations of distributions based on order statistics

V. Papathanasiou

Statistics & Probability Letters, 1990, vol. 9, issue 2, 145-147

Abstract: Let X(1), X(2) be the order statistics of a sample of size two from an absolutely continuous random variable X. We obtain upper bounds for the covariance of X(1), X(2), which can be used to derive characterizations for specific distributions. A bound for the variance of the ith order statistic X(i) from a sample of size n is also obtained.

Keywords: Order; statistics; variance; bounds; covariance; characterizations; of; distributions (search for similar items in EconPapers)
Date: 1990
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Citations: View citations in EconPapers (5)

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