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Formulation and Statistical Analysis of the Mixed, Continuous/Discrete Dependent Variable Model in Classical Production Theory

经典生产理论中连续与离散混合因变量模型的构建与统计分析

Data sets which contain jointly endogenous discrete and continuous variables often occur in practice. This paper presents a model of the economic and stochastic processes generating such data as well as methods of estimation. A maximum likelihood estimator is examined and found to exhibit the usual optimality but it is computationally burdensome. A simpler estimator, the QREG, which is a simple weighted average of separate probit (or logit) and regression estimates is…

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A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity

异方差一致的协方差矩阵估计量与异方差直接检验

This paper presents a parameter covariance matrix estimator which is consistent even when the disturbances of a linear regression model are heteroskedastic. This estimator does not depend on a formal model of the structure of the heteroskedasticity. By comparing the elements of the new estimator to those of the usual covariance estimator, one obtains a direct test for heteroskedasticity, since in the absence of heteroskedasticity, the two estimators will be approximately…

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Nonlinear Regression on Cross-Section Data

横截面数据的非线性回归

This paper is a revised version of a paper originally en.titled "Asymptotic Properties of Nonlinear Weighted Least Squares Estimators with Independem not Identically Distributed Regressors." In Section 2, the strong consistency of a class of weighted least squares (WLS) estimators is proven under general conditions, as well as the strong consistency of weighted least squares with estimated weights (EWLS). Conditions which ensure asymptotic normality of the estimators are…

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Statistical Inference in an Implicit, Nonlinear, Simultaneous Equation Mode in the Context of Maximum Likelihood Estimation

隐式非线性联立方程模型中基于最大似然估计的统计推断

A. Ronald Gallant, Alberto Holly, Statistical Inference in an Implicit, Nonlinear, Simultaneous Equation Mode in the Context of Maximum Likelihood Estimation, Econometrica, Vol. 48, No. 3 (Apr., 1980), pp. 697-720

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Asymptotic Covariance Matrices of Two-Stage Probit and Two-Stage Tobit Methods for Simultaneous Equations Models with Selectivity

含选择机制的联立方程模型中两阶段 Probit 与 Tobit 方法的渐近协方差矩阵

Lung-Fei Lee, G. S. Maddala, R. P. Trost, Asymptotic Covariance Matrices of Two-Stage Probit and Two-Stage Tobit Methods for Simultaneous Equations Models with Selectivity, Econometrica, Vol. 48, No. 2 (Mar., 1980), pp. 491-503

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The Existence of Moments of k-Class Estimators

k 类估计量矩的存在性

For the regression equation C = A,B + e where A is a p x q stochastic matrix whose elements are independently distributed and contemporaneously correlated with the elements of 8, the lth moment of the least squares estimator of (3 exists if and only if l < p - q + 1. In particular, this implies that the lth moment of the k-class estimator of the coefficients of the G1 -1 non-normalizing endogenous variables of an equation with K1 included and K2 excluded exogenous variables…

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The Estimation of the Prais-Houthakker Model of Equivalence Scales

Prais–Houthakker 家庭等价尺度模型的估计

Given a preference basis for the model, a household's general equivalence scale is seen to be a cost of living index relative to the reference household type defined at constant prices. A maximum likelihood estimation procedure which can be applied both to cross-section data and pooled time-series/cross-sections is derived. The lack of identification of the model is established theoretically and checked empirically on British family expenditure survey data. With prior…

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Disequilibrium Econometrics in Simultaneous Equations Systems

联立方程系统中的非均衡计量经济学

This paper considers the econometric problems raised by multi-market disequilibrium models. It uses a specification which is derived from general disequilibrium theory and, therefore, provides a first bridge between the economic theory approach and the econometric theory approach of disequilibrium. The model is piecewise linear; the problem of the existence of a reduced form, which is a crucial issue in nonlinear models, is solved. Limited information estimators as well as…

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Econometric Implications of the Rational Expectations Hypothesis

理性预期假说的计量经济学含义

The implications for applied econometrics of the assumption that unobservable expectations formed rationally in Muth's sense examined. The statistical properties of the resulting models and their distributed lag and time series representations described. Purely extrapolative forecasts of endogenous variables can be constructed, as alternatives to rational expectations, but less efficient. Identification and estimation considered: an order condition is that no more…

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Macroeconomics and Reality

宏观经济学与现实

Existing strategies for econometric analysis related to macroeconomics are subject to a number of serious objections, some recently formulated, some old. These objections are summarized in this paper, and it is argued that taken together they make it unlikely that macroeconomic models are in fact over identified, as the existing statistical theory usually assumes. The implications of this conclusion are explored, and an example of econometric work in a non-standard style,…

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A Saddlepoint Approximation to the Distribution of the k-Class Estimator of a Coefficient in a Simultaneous System

联立方程系统中单个系数 k 类估计量分布的鞍点近似

A. Holly, P. C. B. Phillips, A Saddlepoint Approximation to the Distribution of the k-Class Estimator of a Coefficient in a Simultaneous System, Econometrica, Vol. 47, No. 6 (Nov., 1979), pp. 1527-1547

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Investors' Portfolio Behavior under Alternative Models of Long-Term Interest Rate Expectations: Unitary, Rational, or Autoregressive

不同长期利率预期模型下的投资者组合行为:Unitary、理性或自回归预期

Benjamin M. Friedman, V. Vance Roley, Investors' Portfolio Behavior under Alternative Models of Long-Term Interest Rate Expectations: Unitary, Rational, or Autoregressive, Econometrica, Vol. 47, No. 6 (Nov., 1979), pp. 1475-1497

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Expectational Consistency, Informational Lags, and the Formulation of Expectations in Continuous Time Models

连续时间模型中的预期一致性、信息滞后与预期形成

Malcolm R. Gray, Stephen J. Turnovsky, Expectational Consistency, Informational Lags, and the Formulation of Expectations in Continuous Time Models, Econometrica, Vol. 47, No. 6 (Nov., 1979), pp. 1457-1474

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