Multiple-try Metropolis Hastings for modeling extreme PM10 data

Awareness of catastrophic events brings the attention to work out the relationship of these events by using statistical analysis of Extreme Value Theory (EVT). This study focused on extreme PM10 data using a Gumbel distribution which is one of the Extreme Value distributions. The parameters were est...

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Main Authors: Mohd Amin, Nor Azrita, Adam, Mohd Bakri, Ibrahim, Noor Akma
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57434/
http://psasir.upm.edu.my/id/eprint/57434/1/Multiple-try%20Metropolis%20Hastings%20for%20modeling%20extreme%20PM10%20data.pdf
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author Mohd Amin, Nor Azrita
Adam, Mohd Bakri
Ibrahim, Noor Akma
author_facet Mohd Amin, Nor Azrita
Adam, Mohd Bakri
Ibrahim, Noor Akma
author_sort Mohd Amin, Nor Azrita
building UPM Institutional Repository
collection Online Access
description Awareness of catastrophic events brings the attention to work out the relationship of these events by using statistical analysis of Extreme Value Theory (EVT). This study focused on extreme PM10 data using a Gumbel distribution which is one of the Extreme Value distributions. The parameters were estimated using the new Bayesian approach in extreme called Multiple Try Metropolis-Hastings algorithms. We compared this approach with another Markov Chain Monte Carlo approach which is the classical Metropolis-Hastings algorithm and the frequentist approach, Maximum Likelihood Estimation. It appears that these three approaches provide comparable results. Data are taken for Pasir Gudang station for year 1996 to 2010.
first_indexed 2025-11-15T10:52:49Z
format Conference or Workshop Item
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institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:52:49Z
publishDate 2013
publisher AIP Publishing LLC
recordtype eprints
repository_type Digital Repository
spelling upm-574342017-09-27T10:19:14Z http://psasir.upm.edu.my/id/eprint/57434/ Multiple-try Metropolis Hastings for modeling extreme PM10 data Mohd Amin, Nor Azrita Adam, Mohd Bakri Ibrahim, Noor Akma Awareness of catastrophic events brings the attention to work out the relationship of these events by using statistical analysis of Extreme Value Theory (EVT). This study focused on extreme PM10 data using a Gumbel distribution which is one of the Extreme Value distributions. The parameters were estimated using the new Bayesian approach in extreme called Multiple Try Metropolis-Hastings algorithms. We compared this approach with another Markov Chain Monte Carlo approach which is the classical Metropolis-Hastings algorithm and the frequentist approach, Maximum Likelihood Estimation. It appears that these three approaches provide comparable results. Data are taken for Pasir Gudang station for year 1996 to 2010. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57434/1/Multiple-try%20Metropolis%20Hastings%20for%20modeling%20extreme%20PM10%20data.pdf Mohd Amin, Nor Azrita and Adam, Mohd Bakri and Ibrahim, Noor Akma (2013) Multiple-try Metropolis Hastings for modeling extreme PM10 data. In: 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 Nov. 2013, Penang, Malaysia. (pp. 949-954). 10.1063/1.4887718
spellingShingle Mohd Amin, Nor Azrita
Adam, Mohd Bakri
Ibrahim, Noor Akma
Multiple-try Metropolis Hastings for modeling extreme PM10 data
title Multiple-try Metropolis Hastings for modeling extreme PM10 data
title_full Multiple-try Metropolis Hastings for modeling extreme PM10 data
title_fullStr Multiple-try Metropolis Hastings for modeling extreme PM10 data
title_full_unstemmed Multiple-try Metropolis Hastings for modeling extreme PM10 data
title_short Multiple-try Metropolis Hastings for modeling extreme PM10 data
title_sort multiple-try metropolis hastings for modeling extreme pm10 data
url http://psasir.upm.edu.my/id/eprint/57434/
http://psasir.upm.edu.my/id/eprint/57434/
http://psasir.upm.edu.my/id/eprint/57434/1/Multiple-try%20Metropolis%20Hastings%20for%20modeling%20extreme%20PM10%20data.pdf