Bayesian statistical inference on elliptical matrix distributions

Kai Tai Fang; Runze Li

doi:10.1006/jmva.1998.1816

Bayesian statistical inference on elliptical matrix distributions

Kai Tai Fang^*, Runze Li

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

25 Citations (Scopus)

Abstract

In this paper we are concerned with Bayesian statistical inference for a class of elliptical distributions with parameters μ and Σ. Under a noninformative prior distribution, we obtain the posterior distribution, posterior mean, and generalized maximim likelihood estimators of μ and Σ. Under the entropy loss and quadratic loss, the best Bayesian estimators of Σ are derived as well. Some applications are given.

Original language	English
Pages (from-to)	66-85
Number of pages	20
Journal	Journal of Multivariate Analysis
Volume	70
Issue number	1
DOIs	https://doi.org/10.1006/jmva.1998.1816
Publication status	Published - Jul 1999
Externally published	Yes

User-Defined Keywords

Elliptical matrix distributions
Entropy loss
Posterior mean
Quadratic loss

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10.1006/jmva.1998.1816

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abstract = "In this paper we are concerned with Bayesian statistical inference for a class of elliptical distributions with parameters μ and Σ. Under a noninformative prior distribution, we obtain the posterior distribution, posterior mean, and generalized maximim likelihood estimators of μ and Σ. Under the entropy loss and quadratic loss, the best Bayesian estimators of Σ are derived as well. Some applications are given.",

keywords = "Elliptical matrix distributions, Entropy loss, Posterior mean, Quadratic loss",

author = "Fang, {Kai Tai} and Runze Li",

note = "Funding Information: This work was supported by a Hong Kong RGC grant, the Statistical Research and Consultancy Centre, Hong Kong Baptist University.",

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AU - Li, Runze

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PY - 1999/7

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N2 - In this paper we are concerned with Bayesian statistical inference for a class of elliptical distributions with parameters μ and Σ. Under a noninformative prior distribution, we obtain the posterior distribution, posterior mean, and generalized maximim likelihood estimators of μ and Σ. Under the entropy loss and quadratic loss, the best Bayesian estimators of Σ are derived as well. Some applications are given.

AB - In this paper we are concerned with Bayesian statistical inference for a class of elliptical distributions with parameters μ and Σ. Under a noninformative prior distribution, we obtain the posterior distribution, posterior mean, and generalized maximim likelihood estimators of μ and Σ. Under the entropy loss and quadratic loss, the best Bayesian estimators of Σ are derived as well. Some applications are given.

KW - Elliptical matrix distributions

KW - Entropy loss

KW - Posterior mean

KW - Quadratic loss

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DO - 10.1006/jmva.1998.1816

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Bayesian statistical inference on elliptical matrix distributions

Abstract

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