Browsing by Subject "Order statistics"
Now showing items 1-6 of 6
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Bounds on expectation of order statistics from a finite population
(2003)Consider a simple random sample X1,X2,...,Xn, taken without replacement from a finite ordered population ∏ = {x1 ≤ x2 ≤ ⋯ ≤ XN} (n ≤ N), where each element of ∏ has equal probability to be chosen in the sample. Let X1:n ≤ ...
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Bounds on expectations of L-statistics from without replacement samples
(2004)Consider a simple random sample taken without replacement from a finite ordered population, where each element of the population has equal probability to be chosen in the sample. In the present paper, the best possible ...
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Exact bounds for the expectations of order statistics from non-negative populations
(1997)Some new exact bounds for the expected values of order statistics, under the assumption that the parent population is non-negative, are obtained in terms of the population mean. Similar bounds for the differences of any ...
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A generalization of variance bounds
(1996)Upper and lower bounds for the variance of a random variable are obtained in terms of the density-quantile function. Some applications of these bounds to order statistics are given.
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A note on maximum variance of order statistics from symmetric populations
(1997)The maximum variance of order statistics from a symmetrical parent population is obtained in terms of the population variance. The proof is based on a suitable representation for the variance of order statistics in terms ...
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A simple method for obtaining the maximal correlation coefficient and related characterizations
(2013)We provide a method that enables the simple calculation of the maximal correlation coefficient of a bivariate distribution, under suitable conditions. In particular, the method readily applies to known results on order ...