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Fixed width confidence interval of \(P(X<Y)\) in partial sequential sampling scheme. (English) Zbl 1023.62082

Summary: The article is related to nonparametric fixed-width confidence interval estimation of the parameter \(\theta =\int F(y) dG(y)\), where \(F\) and \(G\) are two unknown univariate continuous distribution functions, by adopting a partial sequential sampling scheme. Different asymptotic results associated with the proposed procedures are formulated and examined.

MSC:

62L12 Sequential estimation
62G15 Nonparametric tolerance and confidence regions
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