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Characterizing Some Gorman Engel Curves

一类Gorman恩格尔曲线的刻画

This paper characterizes all utility derived demand systmes having Engel curves that are linear in both income and an arbitrary function of income. This class encompasses virtually all utility derived demand systems that have been estimated in the past using ag gregate data with explicit treatment of the problem of aggregation ac ross individuals. It includes extensions of the PIGLOG and PIGL class es that have similar properties to these classes, but allow for more general…

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Implicit Alternatives and the Local Power of Test Statistics

隐含备择与检验统计量的局部功效

The local power of test statistics is analyzed by considering sequences of data-generating processes (DGPs) that approach the null hypothesis without necessarily satisfying the alternative. The three classical test statistics-LR, Wald, and LM-are shown to tend asymptot ically to the same random variable under all such sequences. The powe r of these statistics depends on the null, the alternative, and the sequence of DGPs in a geometrically intuitive way. This implies that,…

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Consistency in Nonlinear Econometric Models: A Generic Uniform Law of Large Numbers

非线性计量模型的一致性:通用一致大数定律

A basic tool of modern econometrics is a uniform law of large numbers (LLN). It is a primary ingredient used in proving consistency and asymptotic normality of parametric and nonparametric estimators in nonlinear econometric models. Thus, in a well-known review article, Burguete, Gallant, and Sousa [8, p. 162] introduce a uniform LLN with the statement: "The following theorem is the result upon which the asymptotic theory of nonlinear econometrics rests. "So pervasive is the…

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Time Consistency of Fiscal and Monetary Policy

财政与货币政策的时间一致性

The problem of time inconsistency arises from two different sources. First, as shown by Guillermo A. Calvo (1978), the re is an incentive for each government to engage in an initial unanti cipated inflation. Second, as discussed by Robert E. Lucas and Nancy L. Stokey (1983), there is an incentive for each government to deviat e from the path of taxes announced by the preceding government. In th is paper, it is shown that these two sources of time inconsistency ca n be…

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Consistent Sets of Estimates for Regressions with Correlated or Uncorrelated Measurement Errors in Arbitrary Subsets of all Variables

任意变量子集含相关或不相关测量误差时的回归一致估计集合

OVER THE LAST DECADE the problem of measurement errors in the independent variables of a regression equation has attracted renewed interest among econometricians. In the fifties and sixties, the problem was considered to be more or less hopeless due to its inherent underidentification (e.g., Theil (1971)). Apart from instrumental variables, the most frequently cited textbook solution was Wald's method of grouping (Wald (1940)). Recent insight into the properties of the…

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Existence Results and Finite Horizon Approximates for Infinite Horizon Optimization Problems

无限期优化问题的解存在性与有限期近似

Existence is obtained under a growth condition on paths that are asymptotic to turnpikes whose growth rate equals or exceeds that of the discount rate. Finite horizon approximates, that are computationally tractable, are used t o obtain solutions that yield lower and upper bounds for the optimal value. The technique used is that of epi-convergence. The lower bound estimates come from smoothing out of the tails of the trajectories, and the upper bound estimates from…

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Edgeworth Equilibria

埃奇沃思均衡

This paper studies pure exchange economies with infinite dimensional commodity spacces in the setting of Riesz dual systems. An Edgeworth equilibrium is an allocation that belongs to the core of every replication of the ec onomy. Under some mild conditions, it is shown that (1) Edgeworth equ ilibria exist, (2) an allocation is an Edgeworth equilibrium if and o nly if it is an approximate quasiequilibrium, and (3) if preferences are uniformly proper, then every Edgeworth…

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Estimation by the Analogy Principle

基于类比原则的估计

The analogy principle proposes that population parameters be estimated by sample statistics which make known properties of the population hold as closely as possible in the sample. Applications of the analogy principle are ubiquitous. Nevertheless, estimation theory has not been studied from a consistent analog perspective. This paper makes a start.

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Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors

协整向量最小二乘估计量的渐近性质

Time series variables that stochastically trend together form a cointegrated system. OLS and NLS estimators of the parameters of a cointegrating vector are shown to converge in probability to the true parameter value at the rate T11d for any positive d. These estim mators can be written asymptotically in terms of relatively simple nonnormal random matrices which do not depend on the parameters of th e system. These asymptotic representations form the basis for simple and…

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Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher

GMC 公交车发动机的最优更换:Harold Zurcher 的实证模型

This paper formulates a simple, regenerative, optimal-stopping model of bus-eng ine replacement to describe the behavior of Harold Zurcher, superinte ndent of maintenance at the Madison (Wisconsin) Metropolitan Bus Comp any. Admittedly, few people are likely to take particular interest in Harold Zurcher and bus engine replacement per se. The author focuses on a specific individual and capital good because it provides a simp le, concrete framework to illustrate two ideas: (1)…

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Errors in Variables in Linear Systems

线性方程组中的变量测量误差

This paper extends the simple errors-in-variable bound to the setting of systems of equations. Both diagonal and nondiagonal measurement error covariance matrices are considered. In the nondiagonal case, the analogue of the simple errors-in-variable interval of estimates is an ellipsoid with diagonal equal to the line segment connecting t he direct least squares with a two-stage least-squares estimate. For the diagonal case, the set of estimates under some conditions must li…

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Efficient Estimation and Identification of Simultaneous Equation Models with Covariance Restrictions

协方差约束下联立方程模型的有效估计与识别

The authors consider estimation of simultaneous equations models with covariance restrictions. They consider FIML estimation and extend J. A. Hausman's instrumental variables interpretation of the FIML estim ator to the covariance restrictions case. A slight variation on the i nstrumental variables theme yields a simple, efficient alternative to FIML. The authors augment the original equation system by equations implied by the covariance restrictions, linearized around an…

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Estimating a Structural Search Model: The Transition from School to Work

结构搜寻模型的估计:从学校到工作的转变

This paper presents a finite-horizon search model that is econometrically implemented using all of the restrictions impli ed by the theory. Following a sample of male high school graduates fr om the youth cohort of the National Longitudinal Surveys from graduat ion to employment, search parameters are estimated. Reservation wages and offer probabilities are estimated to be quite low. Simulations a re performed of the impact of changing the parameters on the expected duration…

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Asymptotically Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form

未知形式异方差下的渐近有效估计

In a multiple-regression model the residual variance is an unknown function of the explanatory variables, and estimated by nearest-neighbor nonparametric regression. The resulting weighted least-squares estimator of the regression coefficients is shown to be adaptive, in the sense of having the same asymptotic distribution, to first order, as estimators based on knowledge of the actual variance function or a finite parameterization of it. A similar result was established by…

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Asymmetric Least Squares Estimation and Testing

非对称最小二乘估计与检验

This paper considers estimation and testing using location measures for regression m odels that are based on an asymmetric least-squares criterion functio n. These estimators have properties that are analogous to regression quantiles, but are easier to calculate, as are the corresponding test statistics. Asymmetric least-squares tests of homoskedasticity and s ymmetry compare quite favorably with other tests of these hypotheses in terms of asymptotic relative efficiency.…

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The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions

已婚女性工作时数实证模型对经济与统计假设的敏感性

This study undertakes a systematic analysis of several theoretic and statistical assumption s used in many empirical models of female labor supply. Using a singl e data set (PSID 1975 labor supply data) the author is able to replic ate most of the range of estimated income and substitution effects fo und in previous studies in this field. He undertakes extensive specif ication tests and finds that most of this range should be rejected du e to statistical and model…

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Efficiency Bounds for Distribution-Free Estimators of the Binary Choice and the Censored Regression Models

二元选择与删失回归模型中分布自由估计量的效率界

We derive lower bounds on the asymptotic variances for regular distribution-free estimators of the parameters of the binary choice model and the censored regression (Tobit) model. A distribution-free (or semiparametric) estimator is one that does not require any assumption about the distribution of the stochastic error term in the model, apart from regularity conditions. For the binary choice model, we obtain an explicit lower bound for the asymptotic variance for the slope…

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A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix

一种简单、半正定的异方差与自相关一致协方差矩阵估计方法

This paper describes a simple method of calculating a heteroskedasticity and autocorrelation consistent covariance matrix that is positive semi-definite by construction. It also establishes consistency of the estimated covariance matrix under fairly general conditions.

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A Comparison of Two Consistent Estimators in the Choice-Based Sampling Qualitative Response Model

基于选择结果抽样的定性响应模型中两种一致估计量的比较

On montre que l'estimateur de Manski-McFadden (1981) est asymptotiquement plus efficace que l'estimateur de Manski-Lerman (1977)

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