Incomplete Exponential Families and Minimum-Variance Unbiased Estimators, I
Abram Meerovich Kagan, Victor Palamodov · Theory of Probability and Its Applications · 1967
Previous article Next article Incomplete Exponential Families and Minimum-Variance Unbiased Estimators, IA. M. Kagan and V. P. PalamodovA. M. Kagan and V. P. Palamodovhttps://doi.org/10.1137/1112004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. L. Lehmann, Testing statistical hypotheses, John Wiley & Sons Inc., New York, 1959xiii+369 MR0107933 0089.14102 Google Scholar[2] A. M. Kagan and , Ju. V. Linnik, Unbiased estimation for incomplete exponential familiesTrans. Fourth Prague Conf. on Information Theory, Statistical Decision Functions, Random Processes (Prague, 1965), Academia, Prague, 1967, 389–398 MR0216630 Google Scholar[3] Yu. V. Linnik, Statistical Problems with Nuisance Parameters, Izd-vo “Nauka”, Moscow, 1966, (In Russian.) Google Scholar[4] E. B. Dynkin, Necessary and sufficient statistics for a family of probability distributions, Uspehi Matem. Nauk (N.S.), 6 (1951), 68–90, (In Russian.) MR0041376 Google Scholar[5] Lars Hörmander, Linear partial differential operators, Die Grundlehren der mathematischen Wissenschaften, Bd. 116, Academic Press Inc., Publishers, New York, 1963vii+287 MR0161012 0108.09301 CrossrefGoogle Scholar[6] A. M. Kagan, , Yu. V. Linnik and , C. Radhakrishna Rao, On a characterization of the normal law based on a property of the sample average, Sankhyā Ser. A, 27 (1965), 405–406 MR0200999 0168.40203 Google Scholar[7] Robert A. Wijsman, Incomplete sufficient statistics and similar tests, Ann. Math. Statist., 29 (1958), 1028–1045 MR0106525 0089.14602 CrossrefGoogle Scholar[8] C. Radhakrishna Rao, Linear statistical inference and its applications, John Wiley & Sons Inc., New York, 1965xviii+522 MR0221616 0137.36203 Google Scholar[9] Hassler Whitney, Elementary structure of real algebraic varieties, Ann. of Math. (2), 66 (1957), 545–556 MR0095844 0078.13403 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the Nile problem by Sir Ronald FisherElectronic Journal of Statistics, Vol. 7, No. none Cross Ref The Structure of the UMVUEs from Categorical DataA. Kagan and M. Konikov15 August 2006 | Theory of Probability & Its Applications, Vol. 50, No. 3AbstractPDF (137 KB) Volume 12, Issue 1| 1967Theory of Probability & Its Applications History Submitted:13 May 1966Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1112004Article page range:pp. 36-46ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics