Inference in Power Series Distributions

Inference in Power Series Distributions

Bibliographic Details
Main Author: Korte, Robert A.
Language:English
Published: Kent State University / OhioLINK 2012
Subjects:
Mathematics
Statistics
Power Series Distributions
UMVU
UMVUE
Asymptotic Properties
Unbiased Estimation
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=kent1352937611
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-kent13529376112021-08-03T05:38:20Z Inference in Power Series Distributions Korte, Robert A. Mathematics Statistics Power Series Distributions UMVU UMVUE Asymptotic Properties Unbiased Estimation Historically research on inference in power series distributions has focused on maximum likelihood estimation technique due to its asymptotically optimal properties. This work discusses asymptotic results for the uniformly minimum variance unbiased (UMVU) estimation technique. We present its asymptotic distribution. The limiting mean deviation for the UMVU estimator and its rate of convergence are presented. Criteria for the existence of moments of the estimator and the limiting r<sup>th</sup> moment of the absolute deviating for 1 ≦ r < 2 are given. We also present applications to inference in censored power series distributions and a few links to some problems in approximation theory. test 2012-11-16 English text Kent State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=kent1352937611 http://rave.ohiolink.edu/etdc/view?acc_num=kent1352937611 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Statistics
Power Series Distributions
UMVU
UMVUE
Asymptotic Properties
Unbiased Estimation
spellingShingle Mathematics
Statistics
Power Series Distributions
UMVU
UMVUE
Asymptotic Properties
Unbiased Estimation
Korte, Robert A.
Inference in Power Series Distributions
author Korte, Robert A.
author_facet Korte, Robert A.
author_sort Korte, Robert A.
title Inference in Power Series Distributions
title_short Inference in Power Series Distributions
title_full Inference in Power Series Distributions
title_fullStr Inference in Power Series Distributions
title_full_unstemmed Inference in Power Series Distributions
title_sort inference in power series distributions
publisher Kent State University / OhioLINK
publishDate 2012
url http://rave.ohiolink.edu/etdc/view?acc_num=kent1352937611
work_keys_str_mv AT korteroberta inferenceinpowerseriesdistributions
_version_ 1719422834259787776

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