On Bayesian approach to composite Pareto models.

In data modelling using the composite Pareto distribution, any observations above a particular threshold value are assumed to follow Pareto type distribution, whereas the rest of the observations are assumed to follow a different distribution. This paper proposes on the use of Bayesian approach to t...

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Autores principales: Muhammad Hilmi Abdul Majid, Kamarulzaman Ibrahim
Formato: article
Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2021
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Acceso en línea:https://doaj.org/article/139d9d42518e42c48d4d3fd8fd714026
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spelling oai:doaj.org-article:139d9d42518e42c48d4d3fd8fd7140262021-12-02T20:14:12ZOn Bayesian approach to composite Pareto models.1932-620310.1371/journal.pone.0257762https://doaj.org/article/139d9d42518e42c48d4d3fd8fd7140262021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0257762https://doaj.org/toc/1932-6203In data modelling using the composite Pareto distribution, any observations above a particular threshold value are assumed to follow Pareto type distribution, whereas the rest of the observations are assumed to follow a different distribution. This paper proposes on the use of Bayesian approach to the composite Pareto models involving specification of the prior distribution on the proportion of data coming from the Pareto distribution, instead of assuming the prior distribution on the threshold, as often done in the literature. Based on a simulation study, it is found that the parameter estimates determined when using uniform prior on the proportion is less biased as compared to the point estimates determined when using uniform prior on the threshold. Applications on income data and finance are included for illustrative examples.Muhammad Hilmi Abdul MajidKamarulzaman IbrahimPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 9, p e0257762 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Muhammad Hilmi Abdul Majid
Kamarulzaman Ibrahim
On Bayesian approach to composite Pareto models.
description In data modelling using the composite Pareto distribution, any observations above a particular threshold value are assumed to follow Pareto type distribution, whereas the rest of the observations are assumed to follow a different distribution. This paper proposes on the use of Bayesian approach to the composite Pareto models involving specification of the prior distribution on the proportion of data coming from the Pareto distribution, instead of assuming the prior distribution on the threshold, as often done in the literature. Based on a simulation study, it is found that the parameter estimates determined when using uniform prior on the proportion is less biased as compared to the point estimates determined when using uniform prior on the threshold. Applications on income data and finance are included for illustrative examples.
format article
author Muhammad Hilmi Abdul Majid
Kamarulzaman Ibrahim
author_facet Muhammad Hilmi Abdul Majid
Kamarulzaman Ibrahim
author_sort Muhammad Hilmi Abdul Majid
title On Bayesian approach to composite Pareto models.
title_short On Bayesian approach to composite Pareto models.
title_full On Bayesian approach to composite Pareto models.
title_fullStr On Bayesian approach to composite Pareto models.
title_full_unstemmed On Bayesian approach to composite Pareto models.
title_sort on bayesian approach to composite pareto models.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/139d9d42518e42c48d4d3fd8fd714026
work_keys_str_mv AT muhammadhilmiabdulmajid onbayesianapproachtocompositeparetomodels
AT kamarulzamanibrahim onbayesianapproachtocompositeparetomodels
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