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个人收入分布：再考察AI 解读

Abstract In a recent paper, Majumder and Chakravarty (1990) propose a four‐parameter model which they find provides a better fit to some income data than the lognormal, gamma, Singh‐Maddala, Dagum, and generalized beta of the second kind (GB2) distributions. This note (1) demonstrates that the model proposed by Majumder and Chakravarty is a reparameterization of the GB2 and (2) reconciles the corresponding contradictory empirical findings reported by Majumder and Chakravarty.

基于伽马分布的不同收入不平等指标性质分析AI 解读

The Gini, Theil entropy, and Pietra measures of inequality associated with the gamma distribution function are expressed in terms of the parameters defining the gamma distribution. Method of moments (MME) and maximum likelihood estimators (MLE) of these measures are obtained along with expressions for the asymptotic standard errors of the MLE measures. A table is presented that facilitates the calculation of MLE of inequality measures and the associated asymptotic standard…

恰好识别情形下 LIML 与 2SLS 结构系数分布函数的说明AI 解读

Many alternative techniques of estimating coefficients appearing in the structural representation of econometric models have been developed. The techniques of two-stage least squares (2SLS) and limited information maximum likelihood (LIML) yield identical estimates in the exactly identified case. The derivations of the density functions of these estimators for overidentified structural equations do not formally include the exactly identified case. In this note we demonstrate…

恰好识别情形下 LIML 与 2SLS 结构系数分布函数札记AI 解读

Many alternative techniques of estimating coefficients appearing in the structural representation of econometric models have been developed. The techniques of two-stage least squares (2SLS) and limited information maximum likelihood (LIML) yield identical estimates in the exactly identified case. The derivations of the density functions of these estimators for overidentified structural equations do not formally include the exactly identified case. In this note we demonstrate…

含两个内生变量时三种 LIML 结构误差方差估计量精确矩的存在性AI 解读

This article derives the exact finite sample density functions of three alternative LIML estimators of the variance of the error term in a structural equation containing two endogenous (GΔ = 2) variables contained in a system of G(G ≥ 2) nondynamic structural equations. For the case considered, none of the density functions of the three LIML structural variance estimators define finite moments of positive integer order. It is also demonstrated that, corresponding to a fixed…

含两个内生变量时三种 LIML 结构方差估计量精确矩的存在性AI 解读

This article derives the exact finite sample density functions of three alternative LIML estimators of the variance of the error term in a structural equation containing two endogenous (GΔ = 2) variables contained in a system of G(G ≥ 2) nondynamic structural equations. For the case considered, none of the density functions of the three LIML structural variance estimators define finite moments of positive integer order. It is also demonstrated that, corresponding to a fixed…