Previous article Next article Lower Bounds for Average Sample Size and Efficiency of Statistical Inference ProceduresI. N. VolodinI. N. Volodinhttps://doi.org/10.1137/1124009PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Jean-René Barra, Notions fondamentales de statistique mathématique, Dunod, Paris, 1971xix+258 MR0402992 0257.62004 Google Scholar[2] A. Wald, Statistical deciding functionsPositional Games, Nauka, Moscow, 1967, 300–522 Google Scholar[3] I. N. Volodin, Bounds for the necessary sample size in statistical classification problems, I, Theory Prob. Applications, 22 (1977), 339–348 10.1137/1122037 0389.62041 LinkGoogle Scholar[4] I. N. Volodin, Bounds for the necessary sample size in statistical classi fication problems, II, Theory Prob. Applications, 22 (1977), 730–745 10.1137/1122086 LinkGoogle Scholar[5] M. G. Kendall and , A. Stuart, The Advanced Theory of Statistics; Inferences and Relationships, Vol. 2, Hafner, New York, 1961 Google Scholar[6] Solomon Kullback, Information theory and statistics, John Wiley and Sons, Inc., New York, 1959xvii+395 MR0103557 0088.10406 Google Scholar[7] Yu. V. Linnik, Some general questions in the theory of sequential estimation, Theory Prob. Applications, 17 (1972), 562–563 Google Scholar[8] Jacques Neveu, Mathematical foundations of the calculus of probability, Translated by Amiel Feinstein, Holden-Day Inc., San Francisco, Calif., 1965xiii+223 MR0198505 0137.11301 Google Scholar[9] A. N. Širjaev, Statistical sequential analysis, American Mathematical Society, Providence, R.I., 1973iv+174 MR0350990 0267.62039 Google Scholar[10] Gus W. Haggstrom, Optimal stopping and experimental design, Ann. Math. Statist., 37 (1966), 7–29 MR0195221 0202.49201 CrossrefGoogle Scholar[11] Gordon Simons, Lower bounds for average sample number of sequential multihypothesis tests, Ann. Math. Statist., 38 (1967), 1343–1364 MR0217948 0178.22103 CrossrefGoogle Scholar[12] J. Wolfowitz, Asymptotic efficiency of the maximum likelihood estimator, Theory Prob. Applications, 10 (1965), 247–260 10.1137/1110029 0142.15402 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Lower bounds for expected sample size of sequential procedures for the multinomial selection problems20 September 2016 | Communications in Statistics - Theory and Methods, Vol. 27 Cross Ref Lower bounds for the expected sample size of sequential procedures for selecting and ranking of binomial and Poisson populations14 July 2016 | Lobachevskii Journal of Mathematics, Vol. 37, No. 4 Cross Ref Lower Bound for the Average Sample Size and the Efficiency of Ranking Sequential Procedures16 September 2014 | Theory of Probability & Its Applications, Vol. 58, No. 3AbstractPDF (157 KB)Lower Bounds for Average Sample Size and Efficiency of Sequential Selection Procedures4 June 2013 | Theory of Probability & Its Applications, Vol. 57, No. 2AbstractPDF (212 KB)Sequential Design of Experiments for Hypothesis Testing17 July 2006 | Theory of Probability & Its Applications, Vol. 29, No. 4AbstractPDF (521 KB)Summary Papers Presented at Sessions of the Probability and Mathematical Statistics Seminar at the Leningrad Section of the Mathematical Institute of the USSR Academy of Sciences, 198017 July 2006 | Theory of Probability & Its Applications, Vol. 26, No. 3AbstractPDF (957 KB)Lower Bounds for the Mean Sample Size in Invariance Tests17 July 2006 | Theory of Probability & Its Applications, Vol. 25, No. 2AbstractPDF (505 KB)Lower Bounds for the Mean Sample Size in Goodness-of-Fit and Homogeneity Tests17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 3AbstractPDF (994 KB) Volume 24, Issue 1| 1979Theory of Probability & Its Applications History Submitted:18 November 1976Published online:17 July 2006 InformationCopyright © 1979 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1124009Article page range:pp. 120-129ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics