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Main Author: Kakamu, Kazuhiko
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2210.05115
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author Kakamu, Kazuhiko
author_facet Kakamu, Kazuhiko
contents This study proposes a reversible jump Markov chain Monte Carlo method for estimating parameters of lognormal distribution mixtures for income. Using simulated data examples, we examined the proposed algorithm's performance and the accuracy of posterior distributions of the Gini coefficients. Results suggest that the parameters were estimated accurately. Therefore, the posterior distributions are close to the true distributions even when the different data generating process is accounted for. Moreover, promising results for Gini coefficients encouraged us to apply our method to real data from Japan. The empirical examples indicate two subgroups in Japan (2020) and the Gini coefficients' integrity.
format Preprint
id arxiv_https___arxiv_org_abs_2210_05115
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Bayesian analysis of mixtures of lognormal distribution with an unknown number of components from grouped data
Kakamu, Kazuhiko
Econometrics
This study proposes a reversible jump Markov chain Monte Carlo method for estimating parameters of lognormal distribution mixtures for income. Using simulated data examples, we examined the proposed algorithm's performance and the accuracy of posterior distributions of the Gini coefficients. Results suggest that the parameters were estimated accurately. Therefore, the posterior distributions are close to the true distributions even when the different data generating process is accounted for. Moreover, promising results for Gini coefficients encouraged us to apply our method to real data from Japan. The empirical examples indicate two subgroups in Japan (2020) and the Gini coefficients' integrity.
title Bayesian analysis of mixtures of lognormal distribution with an unknown number of components from grouped data
topic Econometrics
url https://arxiv.org/abs/2210.05115