Browsing by Subject "Expectation bounds"
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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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Article
Expectation bounds on linear estimators from dependent samples
(2001)Let X1,X2,...,Xn be a sample of arbitrary, possibly dependent, random variables, with possibly different marginal distributions, and denote by X1:n≤X2:n≤≤Xn:n the corresponding order statistics. Using the notation μi=EXi ...