Bandyopadhyay, Uttam; Das, Radhakanta; Biswas, Atanu Fixed width confidence interval of \(P(X<Y)\) in partial sequential sampling scheme. (English) Zbl 1023.62082 Sequential Anal. 22, No. 1-2, 75-93 (2003). 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. Cited in 3 Documents MSC: 62L12 Sequential estimation 62G15 Nonparametric tolerance and confidence regions Keywords:asymptotic relative efficiency; Skorokhod J(1)-topology; Wiener process PDFBibTeX XMLCite \textit{U. Bandyopadhyay} et al., Sequential Anal. 22, No. 1--2, 75--93 (2003; Zbl 1023.62082) Full Text: DOI References: [1] DOI: 10.2307/2286938 · Zbl 0346.62056 [2] Orban J., Communications in Statistics, Series A 9 pp 883– (1980) · Zbl 0434.62061 [3] DOI: 10.2307/2287734 · Zbl 0499.62038 [4] Chatterjee S.K., Calcutta Statistical Association Bulletin 33 pp 35– (1984) [5] Randles R.H., Introduction to the Theory of Nonparametric Statistics (1979) · Zbl 0529.62035 [6] DOI: 10.1214/aos/1176348533 · Zbl 0759.62014 [7] DOI: 10.1080/07474949808836409 · Zbl 0914.62059 [8] Hjort N.L., On the Last ’n’ Where Statistical Research Report, Institute of Mathematics (1990) [9] Ghosh M., Sequential estimation (1997) [10] DOI: 10.1016/0047-259X(73)90035-3 · Zbl 0289.62054 [11] DOI: 10.1016/0047-259X(74)90024-4 · Zbl 0292.62035 [12] DOI: 10.1002/9780470316436 · Zbl 0256.62002 [13] Sen P.K., Sankhya Series A 38 pp 190– (1976) [14] Sen P.K., Sequential Nonparametrics (1981) · Zbl 0583.62074 [15] Parthasarathy K.R., Probability Measures in Metric Spaces (1967) · Zbl 0153.19101 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.