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Multiple Time Series Regression with Integrated Processes

含一阶单整过程的多元时间序列回归

This paper develops a general asymptotic theory of regression for processes which are integrated of order one. The theory includes vector autoregressions and multivariate regressions amongst integrated processes that are driven by innovation sequences which allow for a wide class of weak dependence and heterogeneity. The models studied cover cointegrated systems such as those advanced recently by Granger and Engle and quite general linear simultaneous equations systems with…

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On the Theory of Testing for Unit Roots in Observed Time Series

观测时间序列单位根检验的理论

This paper provides a framework for testing for a unit root in an observed time series against some alternatives considered previously by Anderson (1948). Some new tests for the unit root null hypothesis for the errors affecting a classical regression model against the non-stationary (including explosive) alternative hypothesis are developed. The previous results of Sargan and Bhargava (1983) and the new test statistics are then applied to test the simple random walk and the…

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Complete Consistency: A Testing Analogue of Estimator Consistency

完全一致性:估计量一致性在检验中的对应概念

In this note we introduce a weak optimality condition for tests, called complete consistency. We argue that complete consistency is a more appropriate weak optimality condition for tests than is test consistency. Complete consistency is a testing analogue of estimator consistency. It is shown that a sequence of estimators is consistent, if and only if certain tests based on the estimators (such as Wald or likelihood ratio tests) are completely consistent, for all simple null…

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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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Testing the Error Components Model with Non-Normal Disturbances

非正态扰动下误差成分模型的检验

This paper derives the limit distribution of the test statistics for the error components model proposed by Breusch and Pagan under the assumption of non-normal disturbances and under a sequence of local alternatives, and shows that the Breusch-Pagan tests are robust to non-normal disturbances. The paper also points out that the Breusch-Pagan tests do not make full use of the information provided by the one-sided alternative. And it proposes a one-sided alternative test for…

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Selecting the Best Instrumental Variables Estimator

选择最佳工具变量估计量

This paper considers the problem of finding the "best" estimator among a class that includes most of the commonly used limited information estimators in simultaneous equation systems. Concentration comparisons, based on the Edgeworth expansion of the distribution of these estimators, lead to selection rules of sufficient simplicity to be useful in applied econometric research.

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Distribution-Free Statistical Inference with Lorenz Curves and Income Shares

基于洛伦兹曲线与收入份额的分布无关统计推断

The paper considers the problem of statistical inference with estimated Lorenz curves and income shares. The full variance-covariance structure of the (asymptotic) normal distribution of a vector of Lorenz curve ordinates is derived and shown to depend only on conditional first and second moments that can be estimated consistently without prior specification of the population density underlying the sample data. Lorenz curves and income shares can thus be used as tools for…

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Asymptotic Properties of Instrumental Variables Statistics for Testing Non-Nested Hypotheses

用于非嵌套假设检验的工具变量统计量的渐近性质

This paper develops Instrumental Variables statistics for testing non-nested hypotheses when the hypotheses considered are single equations from a system of linear dynamic simultaneous equations. Asymptotic distributions of those statistics and of comparable Maximum Likelihood statistics are derived under the null hypothesis, a local non-nested alternative hypothesis, and a local "comprehensive" alternative hypothesis. The asymptotic powers of the non-nested hypothesis tests…

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Small-Sample Properties of Estimators of Regression Coefficients Given a Common Pattern of Missing Data

一种常见缺失数据模式下回归系数估计量的小样本性质

For a commonly occurring pattern of missing data, estimators of regression coefficients are derived by a non-likelihood method. The small-sample properties are investigated for the case of normality assumptions. The estimators are shown to be unbiased, exact small-sample variance formulae are derived, comparisons are made with ordinary least-squares estimators and it is demonstrated that the estimators can be more efficient than maximum-likelihood estimators in small samples.

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Estimation of a Labour Supply Model with Censoring Due to Unemployment and Underemployment

失业与就业不足造成删失时的劳动供给模型估计

This study proposes and implements a method of labour supply estimation which is appropriate when the sample contains unemployed and underemployed workers. The estimation method consists of excluding unemployed and underemployed workers from the sample and then using (to avoid selection bias) an extension of Heckman's approach to the case where two correlated selection rules generate the sample. Hausman's specification test is then used to determine whether ignoring…

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