Bayesian inference for linear regression under alpha-skew-normal prior

A study on Bayesian inference for the linear regression model is carried out in the case when the prior distribution for the regression parameters is assumed to follow the alpha-skew-normal distribution. The posterior distribution and its associated full conditional distributions are derived. Then,...

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Main Authors:	Alhamide, A.A., Kamarulzaman Ibrahim, Alodat, M.T., Wan Zawiah Wan Zin
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:	http://journalarticle.ukm.my/13072/ http://journalarticle.ukm.my/13072/ http://journalarticle.ukm.my/13072/1/26%20Alhamide%2C%20A.A.pdf

id	ukm-13072
recordtype	eprints
spelling	ukm-130722019-06-20T14:55:21Z http://journalarticle.ukm.my/13072/ Bayesian inference for linear regression under alpha-skew-normal prior Alhamide, A.A. Kamarulzaman Ibrahim, Alodat, M.T. Wan Zawiah Wan Zin, A study on Bayesian inference for the linear regression model is carried out in the case when the prior distribution for the regression parameters is assumed to follow the alpha-skew-normal distribution. The posterior distribution and its associated full conditional distributions are derived. Then, the Bayesian point estimates and credible intervals for the regression parameters are determined based on a simulation study using the Markov chain Monte Carlo method. The parameter estimates and intervals obtained are compared with their counterparts when the prior distributions are assumed either normal or non-informative. In addition, the findings are applied to Scottish hills races data. It appears that when the data are skewed, the alpha-skew-normal prior contributes to a more precise estimate of the regression parameters as opposed to the other two priors. Penerbit Universiti Kebangsaan Malaysia 2019-01 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13072/1/26%20Alhamide%2C%20A.A.pdf Alhamide, A.A. and Kamarulzaman Ibrahim, and Alodat, M.T. and Wan Zawiah Wan Zin, (2019) Bayesian inference for linear regression under alpha-skew-normal prior. Sains Malaysiana, 48 (1). pp. 227-235. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil1_2019/KandunganJilid48Bil1_2019.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	A study on Bayesian inference for the linear regression model is carried out in the case when the prior distribution for the regression parameters is assumed to follow the alpha-skew-normal distribution. The posterior distribution and its associated full conditional distributions are derived. Then, the Bayesian point estimates and credible intervals for the regression parameters are determined based on a simulation study using the Markov chain Monte Carlo method. The parameter estimates and intervals obtained are compared with their counterparts when the prior distributions are assumed either normal or non-informative. In addition, the findings are applied to Scottish hills races data. It appears that when the data are skewed, the alpha-skew-normal prior contributes to a more precise estimate of the regression parameters as opposed to the other two priors.
format	Article
author	Alhamide, A.A. Kamarulzaman Ibrahim, Alodat, M.T. Wan Zawiah Wan Zin,
spellingShingle	Alhamide, A.A. Kamarulzaman Ibrahim, Alodat, M.T. Wan Zawiah Wan Zin, Bayesian inference for linear regression under alpha-skew-normal prior
author_facet	Alhamide, A.A. Kamarulzaman Ibrahim, Alodat, M.T. Wan Zawiah Wan Zin,
author_sort	Alhamide, A.A.
title	Bayesian inference for linear regression under alpha-skew-normal prior
title_short	Bayesian inference for linear regression under alpha-skew-normal prior
title_full	Bayesian inference for linear regression under alpha-skew-normal prior
title_fullStr	Bayesian inference for linear regression under alpha-skew-normal prior
title_full_unstemmed	Bayesian inference for linear regression under alpha-skew-normal prior
title_sort	bayesian inference for linear regression under alpha-skew-normal prior
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2019
url	http://journalarticle.ukm.my/13072/ http://journalarticle.ukm.my/13072/ http://journalarticle.ukm.my/13072/1/26%20Alhamide%2C%20A.A.pdf
first_indexed	2023-09-18T20:04:02Z
last_indexed	2023-09-18T20:04:02Z
_version_	1777407038315298816

Bayesian inference for linear regression under alpha-skew-normal prior

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