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Instrumental-Variable Estimation of an Error-Components Model

误差成分模型的工具变量估计

On propose des estimateurs efficaces en considerant des hypotheses alternatives sur les sources d'endogeneite et les proprietes de variance-covariance des perturbations

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A Bayes Procedure for the Identification of Univariate Time Series Models

单变量时间序列模型识别的贝叶斯程序

This paper is concerned with model selection in time series analysis. An identification criterion is presented that is asymptotically equivalent to a Bayes decision rule. The discussion is conducted in the context of a general class of parametric time series models and consideration is given to the special case of order determination in autoregressive moving-average representations. Consistency of the criterion is proved.

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Estimation of Unobserved Expected Monthly Inflation Using Kalman Filtering

利用 Kalman 滤波估计不可观测的月度预期通胀

Hamilton developed a technique for estimating financial market expectations of inflation based on the observed time-series properties of interest rates and inflation. The technique is based on a state-space representation derived from an underlying vector autoregressive process of the expected real interest rate and the expected inflation rate on lagged expectations and lagged values of the observed Treasury bill rate and the actual inflation rate. This article extends this…

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Non-Normal Errors and the Distribution of OLS and 2SLS Structural Estimators

非正态误差与 OLS、2SLS 结构方程估计量的分布

This paper examines the sensitivity of the distributions of OLS and 2SLS estimators to the assumption of normality of disturbances in a structural equation with two included endogenous variables. The approach taken is that ofimposing Edgeworth distributed errors on the reduced form equations and deriving the pdf of the estimators via the technique of Davis [11]. The sensitivity of the pdf s to changes in the non-normality parameters, i.e., skewness and kurtosis i s examined…

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Comparing Single-Equation Estimators in a Simultaneous Equation System

联立方程系统中单方程估计量的比较

Comparisons of estimators are made on the basis of their mean squared errors and their concentrations of probability computed by means of asymptotic expansions of their distributions when the disturbance variance tends to zero and alternatively when the sample size increases indefinitely. The estimators include k -class estimators (limited information maximum likelihood, two-stage least squares, and ordinary least squares) and linear combinations of them as well as…

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Combining Information on Measurement Error in the Errors-in-Variables Model

变量含误差模型中测量误差信息的组合

For the regression model in which an explanatory variable contains measurement error, the instrumental variable and the correction for attenuation estimators of slope are considered. Although each requires extra information that is rarely available in ideal form, examinations of asymptotic variances and simulation results suggest that the correction for attenuation performs as well as a fairly strong instrumental variable when the measurement errors are not too large, and…

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Asymptotic Theory of Overparameterized Structural Models

过度参数化结构模型的渐近理论

A theory of overparameterized structural models is presented. In such a model some “redundant” parameters are involved; the parameter vector is not identified, and the information matrix is not nonsingular. The minimum discrepancy function (MDF) test statistic is shown to have an asymptotic chi-squared distribution almost everywhere for a wide class of discrepancy functions. Asymptotic distribution properties of the MDF estimators are investigated. The factor analysis model…

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Time Series Model Specification in the Presence of Outliers

存在异常值时的时间序列模型设定

Outliers are commonplace in data analysis. Time series analysis is no exception. Noting that the effect of outliers on model identification statistics could be serious, this article is concerned with the problem of time series model specification in the presence of outliers. An iterative procedure is proposed to identify the outliers, to remove their effects, and to specify a tentative model for the underlying process. The procedure is essentially based on the iterative…

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Combining Information on Measurement Error in the Errors-in-Variables Model

变量测量误差模型中测量误差信息的结合

For the regression model in which an explanatory variable contains measurement error, the instrumental variable and the correction for attenuation estimators of slope are considered. Although each requires extra information that is rarely available in ideal form, examinations of asymptotic variances and simulation results suggest that the correction for attenuation performs as well as a fairly strong instrumental variable when the measurement errors are not too large, and…

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Asymptotic Theory of Overparameterized Structural Models

过度参数化结构模型的渐近理论

A theory of overparameterized structural models is presented. In such a model some “redundant” parameters are involved; the parameter vector is not identified, and the information matrix is not nonsingular. The minimum discrepancy function (MDF) test statistic is shown to have an asymptotic chi-squared distribution almost everywhere for a wide class of discrepancy functions. Asymptotic distribution properties of the MDF estimators are investigated. The factor analysis model…

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Errors in variables in panel data

面板数据中的变量测量误差

Panel data based on various longitudinal surveys have become ubiquitous in economics in recent years. Estimation using the analysis of covariance approach allows for control of various "individual effects" by estimation of the relevant relationships from the "within" dimension of the data. Quite often, however, the "within" results are unsatisfactory, "too low" and insignificant. Errors of measurement in the independent variables whose relative importance gets magnified in…

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Instrumental Variables Estimation of Dynamic Simultaneous Systems with ARMA Errors

具有ARMA误差的动态联立系统的工具变量估计

This paper develops the instrumental variables estimator for a possibly incomplete, dynamic economic system with vector autoregressive moving average disturbances. Its asymptotic distribution is derived and, under fairly weak conditions, it is shown that lagged endogenous variables may be validly included in the set of instruments. Statistics are proposed for testing the order of the error process and the validity of the instruments.

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ARCH and Bilinear Time Series Models: Comparison and Combination

ARCH 与双线性时间序列模型:比较与结合

Two extensions to the ARMA model, bilinearity and ARCH errors are compared, and their combination is considered. Starting with the ARMA model, tests for each extension are discussed, along with various least squares and maximum likelihood estimates of the parameters and tests of the estimated models based on these. The effects each may have on the identification, estimation, and testing of the other are given, and it is seen that to distinguish between the two properly, it…

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Tests for underlying Markovian structure from panel data with partially aggregated states

部分状态聚合面板数据中潜在马尔可夫结构的检验

SUMMARY For dichotomous longitudinal panel data assumed to have been generated by a Markov chain but with only one of its states identifiable, the likelihood ratio and related tests for underlying Markovian structure are studied. It is shown that the likelihood ratio may be written as a product of conditionally independent likelihood ratios for testing independence in certain contingency tables, given margins. The tests are illustrated on data from malaria and…

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A note on A. Albert and J. A. Anderson's conditions for the existence of maximum likelihood estimates in logistic regression models

关于逻辑回归最大似然估计存在条件的补充说明

This note expands the paper by Albert & Anderson (1984) on the existence and uniqueness of maximum likelihood estimates in logistic regression models. Their three possible mutually exclusive data patterns: (i) overlap, (ii) complete separation, and (iii) quasiseparation are considered. The maximum likelihood estimate exists only in (i). Modifications of the statement and proofs of Albert & Anderson's results are given for (ii) and (iii) The identifiability for a more general…

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Errors in Inspection: Integer Parameter Maximum Likelihood in a Finite Population

检验误差:有限总体中整数参数的极大似然估计

In a probability model for possible errors in the inspection of a finite lot containing defective items, it is shown how maximum likelihood estimation is affected by whether the sampling is carried out with or without replacement. These changes are examined by developing a method for simultaneous maximization over an integer and a scalar parameter. A new method for the bounding of the integer solution is introduced. The results show that the parameter estimates in the…

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On a Singularity in the Likelihood for a Change-Point Hazard Rate Model

变点风险率模型似然中的一个奇异性问题

A singularity identified by Nguyen, Rogers & Walker (1984) in the log likelihood function for a change-point hazard rate model is eliminated if the likelihood function is appropriately defined.

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Resistant Estimation for Simultaneous-Equations Models Using Weighted Instrumental Variables

使用加权工具变量的联立方程模型稳健估计

IN THIS PAPER we present a weighted-instrumental-variables estimator that is resistant2 to heavy-tailed errors, aberrant data in either the endogenous or exogenous variables, and certain other model failures. The estimator is analogous to the weighted-least-squares approach to robustness proposed by Krasker and Welsch [21] for ordinary regression. We will discuss the theory that motivated this estimator, derive some of its properties, describe our computational algorithm,…

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The Econometrics of Nonlinear Budget Sets

非线性预算集的计量经济学

This article surveys the development of nonparametric models and methods for estimation of choice models with nonlinear budget sets.The discussion focuses on the budget set regression, that is, the conditional expectation of a choice variable given the budget set.Utility maximization in a nonparametric model with general heterogeneity reduces the curse of dimensionality in this regression.Empirical results using this regression are different from maximum likelihood and give…

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