政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/120185

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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/120185

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/120185

Title:	Filtered-variate prior distributions for histogram smoothing.
Authors:	Dickey, James M. 姜志銘 Jiang, Thomas J.
Contributors:	應數系
Keywords:	Bayesian smoothing;Carlson function;Generalized Dirichlet distribution;Generalized hypergeometric function;Multinomial distribution;Multinomial estimation.
Date:	1998
Issue Date:	2018-09-27 17:26:18 (UTC+8)
Abstract:	We develop prior distributions for histogram inference favoring smooth population frequencies; that is, probability vectors with small differences for neighboring categories. We give a theory of prior-random probability vectors representable as a linear transform, or “filter,” of a standard random probability vector, or equivalently, a random weighted average of nonrandom smooth probability vectors. Promising methods of prior assessment are given based on elicitation of a list of typically smooth probability vectors, the empirical moments of which can then be matched by the mean vector and variance matrix of a constructed continuous-type filtered-variate prior distribution.
Relation:	Journal of the American Statistical Association, 93:442, 651-662
Data Type:	article
DOI 連結:	https://doi.org/10.1080/01621459.1998.10473718
DOI:	10.1080/01621459.1998.10473718
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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