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LOWER BOUND FOR THE AVERAGE SAMPLE SIZE AND THE EFFICIENCY OF RANKING SEQUENTIAL PROCEDURES

机译:平均样本大小的下界和排序顺序的效率

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Some bounds for the average sample size are established for procedures of ranking of populations in the increase of the order of the value of a real parameter when the fixed probability of the correct decision is guaranteed. Similar bounds for the sequential selection procedures have been obtained in [I. A. Kareev, Theory Probab. Appl., 57 (2013), pp. 227-242]. The universal Volodin-Malyutov bounds are used [M. B. Malyutov, Izv. Vyssh. Uchebn. Zaved. Mat., 11(1983), pp. 19-41 (in Russian)], [I. N. Volodin, Theory Probab. Appl., 24 (1979), pp. 120-129]. The results obtained are applied to an estimatioh of efficiency of the Bechhofer ranking sequential procedure [R. E. Bechhofer, Ann. Math. Statist., 25 (1954), pp. 16-39].
机译:当保证正确决策的固定概率时,为按真实参数值的升序对人群进行排名的程序,确定了平均样本量的一些界限。顺序选择过程的相似范围已在[I.卡里耶夫(A. Kareev),Problem Probab。 Appl。,57(2013),pp。227-242]。使用通用的Volodin-Malyutov边界[M. Izv。B. Malyutov。 Vyssh。乌其Zaved。 ,第11卷,1983年,第19-41页。 N. Volodin,理论Probab。 Appl。,24(1979),第120-129页]。获得的结果将应用于Bechhofer排序顺序程序[R. E. Bechhofer,安数学。 25(1954),第16-39页]。

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