Classical and Bayesian Inference for Income Distributions using Grouped Data
提出了基于分组数据的收入分布极大似然和贝叶斯估计框架,推导了渐近性质,通过模拟和世界银行数据验证了精度提升。
Abstract We propose a general framework for Maximum Likelihood (ML) and Bayesian estimation of income distributions based on grouped data information. The asymptotic properties of the ML estimators are derived and Bayesian parameter estimates are obtained by Monte Carlo Markov Chain (MCMC) techniques. A comprehensive simulation experiment shows that obtained estimates of the income distribution are very precise and that the proposed estimation framework improves the statistical precision of parameter estimates relative to the classical multinomial likelihood. The estimation approach is finally applied to a set of countries included in the World Bank database PovcalNet .