Abstract
Previous article Next article A Characterization of the Gamma Distribution by Optimal EstimatesW. EberlW. Eberlhttps://doi.org/10.1137/1130109PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. M. Kagan, Conditions for optimality of certain estimates for families with scale parameter, Dokl. Akad. Nauk UzbSSR, 6 (1968), 3–5, (In Russian.) Google Scholar[2] A. M. Kagan, , Yu. V. Linnik and , S. Radhakrishna Rao, Characterization problems in mathematical statistics, John Wiley & Sons, New York-London-Sydney, 1973xii+499 49:11689 0271.62002 Google Scholar[3] J. A. Shohat and , J. D. Tamarkin, The Problem of Moments, American Mathematical Society, Providence, RI, 1970, 4th printing of rev. edit. Google Scholar[4] L. Collatz, Differentialgleichungen, Teubner, 1970 0211.39601 Google Scholar[5] L. Lehmann and , Henry Scheffé, Completeness, similar regions, and unbiased estimation. I, Sankhyā, 10 (1950), 305–340 12,511e 0041.46301 Google Scholar[6] C. Radhakrishna Rao, Some theorems on minimum variance estimation, Sankhyā, 12 (1952), 27–42 14,1103d 0049.10106 Google Scholar[7] J. Aczél, Lectures on functional equations and their applications, Mathematics in Science and Engineering, Vol. 19, Academic Press, New York, 1966xx+510 34:8020 0139.09301 Google Scholar[8] C. G. Khatri and , C. Radhakrishna Rao, Some characteristics of the gamma distribution, Sankhyā Ser. A, 30 (1968), 157–166 38:5319 Google Scholar[9] L. Bondesson, Characterizations of the Gamma distribution, Theory Prob. Appl., 18 (1973), , 367–369 0307.60022 Google Scholar[10] W. Eberl, Jr., Invariantly sufficient equivariant statistics and characterizations of normality in translation classes, Ann. Statist., 11 (1983), 330–336 85g:62014 0533.62006 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Invariant Sufficiency, Equivariance and Characterizations of the Gamma Distribution Cross Ref Volume 30, Issue 4| 1986Theory of Probability & Its Applications History Submitted:07 December 1983Published online:28 July 2006 InformationCopyright © 1986 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1130109Article page range:pp. 855-860ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
