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This paper proposes a new Bayesian approach to estimate the Gini coefficient from the Lorenz curve based on grouped data. The proposed approach assumes a hypothetical income distribution and estimates the parameter by directly working on…

应用统计 · 统计学 2017-08-10 Genya Kobayashi , Kazuhiko Kakamu

Survey data are widely used to study how income inequality, poverty, and welfare evolve over time. A common practice is to estimate the income distribution separately for each year, treating annual observations as independent…

计量经济学 · 经济学 2026-04-24 David Gunawan

A Lorenz curve is a graphical representation of the distribution of income or wealth within a population. The generalized Lorenz curve can be created by scaling the values on the vertical axis of a Lorenz curve by the average output of the…

统计方法学 · 统计学 2023-09-26 Suthakaran Ratnasingam , Anton Butenko

Functional time series data frequently appears in econometric analyses, where the functions of interest are subject to some shape constraints, including monotonicity and convexity, as typical of the estimation of the Lorenz curve. This…

应用统计 · 统计学 2024-12-03 Daichi Hiraki , Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

Synthetic indices are used in Economics to measure various aspects of monetary inequalities. These scalar indices take as input the distribution over a finite population, for example the population of a specific country. In this article we…

应用统计 · 统计学 2011-09-06 Eric Gautier

We consider the estimation of wealth inequality measures with their confidence interval, based on survey data with interval censoring. We rely on a Bayesian hierarchical model. It consists of a model where, due to survey sampling and unit…

应用统计 · 统计学 2011-08-01 Eric Gautier

The Lorenz curve portrays the inequality of income distribution. In this article, we develop three modified empirical likelihood (EL) approaches including adjusted empirical likelihood, transformed empirical likelihood, and transformed…

统计方法学 · 统计学 2023-11-27 Suthakaran Ratnasingam , Spencer Wallace , Imran Amani , Jade Romero

We develop a Bayesian hierarchical semiparametric model for phenomena related to time series of counts. The main feature of the model is its capability to learn a latent pattern of heterogeneity in the distribution of the process innovation…

统计方法学 · 统计学 2019-07-09 Helton Graziadei , Hedibert F. Lopes , Paulo C. Marques F

Estimating income distributions plays an important role in the measurement of inequality and poverty over space. The existing literature on income distributions predominantly focuses on estimating an income distribution for a country or a…

统计方法学 · 统计学 2019-07-04 Shonosuke Sugasawa , Genya Kobayashi , Yuki Kawakubo

The Lorenz curve is a fundamental tool for analysing income and wealth distribution and inequality at national and regional levels. We utilise a one-way functional analysis of variance to decompose a time series of Lorenz curves and develop…

统计方法学 · 统计学 2025-04-08 Han Lin Shang

We develop a Bayesian state-space model for analyzing the dynamic evolution of income distributions using grouped income data. The model combines the generalized beta distribution of the second kind (GB2) with latent time-varying parameters…

计量经济学 · 经济学 2026-05-19 Kazuhiko Kakamu

We establish rates of convergences in time series forecasting using the statistical learning approach based on oracle inequalities. A series of papers extends the oracle inequalities obtained for iid observations to time series under weak…

统计理论 · 数学 2012-11-12 Pierre Alquier , Xiaoyin Li , Olivier Wintenberger

Nonprobability (convenience) samples are increasingly sought to reduce the estimation variance for one or more population variables of interest that are estimated using a randomized survey (reference) sample by increasing the effective…

Dynamics of complex systems is studied by first considering a chaotic time series generated by Lorenz equations and adding noise to it. The trend (smooth behavior) is separated from fluctuations at different scales using wavelet analysis…

混沌动力学 · 物理学 2009-11-11 Dilip P. Ahalpara , Jitendra C. Parikh

Datasets containing large samples of time-to-event data arising from several small heterogeneous groups are commonly encountered in statistics. This presents problems as they cannot be pooled directly due to their heterogeneity or analyzed…

机器学习 · 统计学 2016-12-05 Alexandre Piché , Russell Steele , Ian Shrier , Stephanie Long

This paper proposes the k-generalized distribution as a model for describing the distribution and dispersion of income within a population. Formulas for the shape, moments and standard tools for inequality measurement - such as the Lorenz…

综合金融 · 定量金融 2009-01-31 F. Clementi , T. Di Matteo , M. Gallegati , G. Kaniadakis

We present a method that models the evolution of an unbounded number of time series clusters by switching among an unknown number of regimes with linear dynamics. We develop a Bayesian non-parametric approach using a hierarchical Dirichlet…

机器学习 · 统计学 2025-10-09 Adrián Pérez-Herrero , Paulo Félix , Jesús Presedo , Carl Henrik Ek

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

To improve the predictability of complex computational models in the experimentally-unknown domains, we propose a Bayesian statistical machine learning framework utilizing the Dirichlet distribution that combines results of several…

统计方法学 · 统计学 2023-11-06 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz

The Housing and Land Survey (HLS) of Japan provides municipality-level grouped data on household incomes. Although these data can be used for effective local policymaking, their analyses are hindered by several challenges, such as limited…

应用统计 · 统计学 2025-07-02 Genya Kobayashi , Shonosuke Sugasawa , Yuki Kawakubo
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