Composite pareto distributions for modelling household income distribution in Malaysia

Composite Pareto distributions are flexible as the models allow for data to be described by two distributions: a Pareto distribution for the data above a threshold value and another separate distribution for data below the threshold value. It is noted in some previous literatures that the Paretian t...

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Main Authors: Muhammad Hilmi Abdul Majid, Kamarulzaman Ibrahim
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2021
Online Access:http://journalarticle.ukm.my/17565/
http://journalarticle.ukm.my/17565/1/19.pdf
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author Muhammad Hilmi Abdul Majid,
Kamarulzaman Ibrahim,
author_facet Muhammad Hilmi Abdul Majid,
Kamarulzaman Ibrahim,
author_sort Muhammad Hilmi Abdul Majid,
building UKM Institutional Repository
collection Online Access
description Composite Pareto distributions are flexible as the models allow for data to be described by two distributions: a Pareto distribution for the data above a threshold value and another separate distribution for data below the threshold value. It is noted in some previous literatures that the Paretian tail behaviour can be observed in the distribution of Malaysian household income. In this paper, the composite Pareto models are fitted to the Malaysian household income data of several years. These fitted composite Pareto models are then compared to several univariate models for describing income distribution using pseudo-likelihood based AIC, BIC and Kolmogorov-Smirnov goodness-of-fit test. It is found that the income distributions in Malaysia can be best described by the lognormal-Pareto (II) model as compared to other candidate models.
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spelling oai:generic.eprints.org:175652021-11-15T03:44:47Z http://journalarticle.ukm.my/17565/ Composite pareto distributions for modelling household income distribution in Malaysia Muhammad Hilmi Abdul Majid, Kamarulzaman Ibrahim, Composite Pareto distributions are flexible as the models allow for data to be described by two distributions: a Pareto distribution for the data above a threshold value and another separate distribution for data below the threshold value. It is noted in some previous literatures that the Paretian tail behaviour can be observed in the distribution of Malaysian household income. In this paper, the composite Pareto models are fitted to the Malaysian household income data of several years. These fitted composite Pareto models are then compared to several univariate models for describing income distribution using pseudo-likelihood based AIC, BIC and Kolmogorov-Smirnov goodness-of-fit test. It is found that the income distributions in Malaysia can be best described by the lognormal-Pareto (II) model as compared to other candidate models. Penerbit Universiti Kebangsaan Malaysia 2021-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/17565/1/19.pdf Muhammad Hilmi Abdul Majid, and Kamarulzaman Ibrahim, (2021) Composite pareto distributions for modelling household income distribution in Malaysia. Sains Malaysiana, 50 (7). pp. 2047-2058. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid50bil7_2021/KandunganJilid50Bil7_2021.html
spellingShingle Muhammad Hilmi Abdul Majid,
Kamarulzaman Ibrahim,
Composite pareto distributions for modelling household income distribution in Malaysia
title Composite pareto distributions for modelling household income distribution in Malaysia
title_full Composite pareto distributions for modelling household income distribution in Malaysia
title_fullStr Composite pareto distributions for modelling household income distribution in Malaysia
title_full_unstemmed Composite pareto distributions for modelling household income distribution in Malaysia
title_short Composite pareto distributions for modelling household income distribution in Malaysia
title_sort composite pareto distributions for modelling household income distribution in malaysia
url http://journalarticle.ukm.my/17565/
http://journalarticle.ukm.my/17565/
http://journalarticle.ukm.my/17565/1/19.pdf