Interval Estimates in the Presence of Nuisance Parameters

Previous article Next article Interval Estimates in the Presence of Nuisance ParametersL. N. Bol’shev and E. A. LoginovL. N. Bol’shev and E. A. Loginovhttps://doi.org/10.1137/1111004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] L. N. Bol'Shev, On the construction of confidence limits, Theory Prob. Applications, 10 (1965), 173–177, (English translation.) 10.1137/1110022 LinkGoogle Scholar[2] L. N. Bol'shev and , N. V. Smirnov, Tables of Mathematical Statistics, Izd. Nauka, Moscow, 1965, (In Russian.) Google Scholar[3] Yu. V. Linnik, On A. Wald's test comparing two normal samples, Theory Prob. Applications, 9 (1964), 14–27, (English translation.) 10.1137/1109002 0134.36301 LinkGoogle Scholar[4] R. A. Mirnyi and , A. D. Solov'ev, Reliability estimate for a system based on results of trials of its components“Cybernetics in the Service of Comunism”, Vol. 2, Izd. “Energia”, Moscow-Leningrad, 1964, 213–235, (In Russian.) Google Scholar[5] J. H. Abbott and , J. I. Rosenblatt, Two stage estimation with one observation on the first stage, Ann. Inst. Statist. Math., 14 (1962/1963), 229–235 MR0156406 0113.13701 CrossrefGoogle Scholar[6] Robert J. Buehler, Confidence intervals for the product of two binomial parameters, J. Amer. Statist. Assoc., 52 (1957), 482–493 MR0093075 0080.12703 CrossrefGoogle Scholar[7] K. Pearson, Tables of the Incomplete Beta Function, Biometric Lab., London, 1934 0008.30403 Google Scholar[8] D. B. Owen, Handbook of statistical tables, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1962xii + 580, Palo Alto MR0161401 0102.35203 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On construction of the smallest one-sided confidence interval for the difference of two proportionsThe Annals of Statistics, Vol. 38, No. 2 | 1 Apr 2010 Cross Ref On Construction of the Smallest One-sided Confidence Intervals and Its Application in Identifying the Minimum Effective DoseFrontiers in Computational and Systems Biology | 1 Jan 2010 Cross Ref The efficiency of Buehler confidence limitsStatistics & Probability Letters, Vol. 65, No. 1 | 1 Oct 2003 Cross Ref Estimating Products in Forensic Identification Using DNA ProfilesJournal of the American Statistical Association, Vol. 90, No. 431 | 1 Sep 1995 Cross Ref IEncyclopaedia of Mathematics | 1 Jan 1995 Cross Ref IEncyclopaedia of Mathematics | 1 Jan 1990 Cross Ref Accurate confidence intervals when nuisance parameters are presentCommunications in Statistics - Theory and Methods, Vol. 18, No. 11 | 1 Jan 1989 Cross Ref Using the binomial and the negative binomial distributions for interval estimation in exponential problemsJournal of Soviet Mathematics, Vol. 39, No. 4 | 1 Nov 1987 Cross Ref Confidence limits for the reliability of systems with redundancyJournal of Soviet Mathematics, Vol. 39, No. 2 | 1 Oct 1987 Cross Ref Confidence Bounds for Convex Functions of Many Unknown ParametersI. V. PavlovTheory of Probability & Its Applications, Vol. 25, No. 2 | 17 July 2006AbstractPDF (611 KB)On Finding Interval Estimates by the Method of L. N. Bol’shev and É. A. LoginovG. D. Kartashov and N. M. ChiganovaTheory of Probability & Its Applications, Vol. 23, No. 3 | 17 July 2006AbstractPDF (418 KB)Lower Confidence Limits for Series System Reliability from Binomial Subsystem DataJournal of the American Statistical Association, Vol. 69, No. 347 | 1 Sep 1974 Cross Ref Approximately Optimum Confidence Bounds for System Reliability Based on Component Test DataTechnometrics, Vol. 16, No. 3 | 1 Aug 1974 Cross Ref Confidence Limits for System Reliability: A Sequential MethodIEEE Transactions on Reliability, Vol. R-20, No. 4 | 1 Nov 1971 Cross Ref Volume 11, Issue 1| 1966Theory of Probability & Its Applications1-190 History Submitted:14 October 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1111004Article page range:pp. 82-94ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics