Some results on non-central beta distributions

In this paper a new non-central beta distribution is defined. Several properties are derived (including various representations and moments expressions) both for the new and the standard non-central beta distribution, showing a greater tractability and interpretability of the former.

Bibliographic Details
Main Authors: Andrea Ongaro, Carlo Orsi
Format: Article
Language:English
Published: University of Bologna 2015-03-01
Series:Statistica
Subjects:
Online Access:http://rivista-statistica.unibo.it/article/view/5825
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spelling doaj-35e5b867b23641cda86b65b09417f0c32020-11-24T23:15:26ZengUniversity of BolognaStatistica0390-590X1973-22012015-03-017518510010.6092/issn.1973-2201/58255313Some results on non-central beta distributionsAndrea Ongaro0Carlo Orsi1Università degli Studi di Milano-BicoccaUniversità degli Studi di Milano-BicoccaIn this paper a new non-central beta distribution is defined. Several properties are derived (including various representations and moments expressions) both for the new and the standard non-central beta distribution, showing a greater tractability and interpretability of the former.http://rivista-statistica.unibo.it/article/view/5825beta distributionnon-centralitymomentsmixture representationshypergeometric functions
collection DOAJ
language English
format Article
sources DOAJ
author Andrea Ongaro
Carlo Orsi
spellingShingle Andrea Ongaro
Carlo Orsi
Some results on non-central beta distributions
Statistica
beta distribution
non-centrality
moments
mixture representations
hypergeometric functions
author_facet Andrea Ongaro
Carlo Orsi
author_sort Andrea Ongaro
title Some results on non-central beta distributions
title_short Some results on non-central beta distributions
title_full Some results on non-central beta distributions
title_fullStr Some results on non-central beta distributions
title_full_unstemmed Some results on non-central beta distributions
title_sort some results on non-central beta distributions
publisher University of Bologna
series Statistica
issn 0390-590X
1973-2201
publishDate 2015-03-01
description In this paper a new non-central beta distribution is defined. Several properties are derived (including various representations and moments expressions) both for the new and the standard non-central beta distribution, showing a greater tractability and interpretability of the former.
topic beta distribution
non-centrality
moments
mixture representations
hypergeometric functions
url http://rivista-statistica.unibo.it/article/view/5825
work_keys_str_mv AT andreaongaro someresultsonnoncentralbetadistributions
AT carloorsi someresultsonnoncentralbetadistributions
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