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Estimation of Time-Varying Markov Processes with Aggregate Data

利用汇总数据估计时变马尔可夫过程

The exact stochastic character of observed data from a Markov process is derived for the case where only aggregate stocks, as opposed to individual transitions, are observed. Particular attention is devoted to the distinction between data generated by a panel study, where a single group of individuals is followed over time, and that generated by random sampling, where the observed groups are not identical over time. Several alternative estimators are developed which take…

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Estimation of the Allocation of Time for Work, Leisure, and Housework

工作、闲暇与家务时间配置的估计

Previous attempts to estimate labor supply functions based upon the constrained maximization of a utility function with leisure and income as arguments have assumed that all time not spent at work on the job is leisure time. In this paper we formulate a model of a household in which time is allocated between work on the job, leisure, and housework, where leisure is defined to be net of time spent on housework. The model is estimated under two alternative stochastic…

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Distributions of Estimates of Coefficients of a Single Equation in a Simultaneous System and Their Asymptotic Expansions

联立系统中单个方程系数估计量的分布及其渐近展开

T. W. Anderson, Takamitsu Sawa, Distributions of Estimates of Coefficients of a Single Equation in a Simultaneous System and Their Asymptotic Expansions, Econometrica, Vol. 44, No. 6 (Nov., 1976), p. 1329

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An Algorithm for Determining the Distribution Function of the Durbin-Watson Test Statistic

杜宾–沃森检验统计量分布函数的计算算法

IN REGRESSION ANALYSIS most empirical economists use the well-known Durbin-Watson (DW) procedure [1] to test the hypothesis of no autocorrelation among the disturbances of a linear regression model against the hypothesis of a first-order autocorrelation. The use of this procedure is compromised by the fact that it is a bounds text and, hence, cannot discriminate between the two competing hypotheses for a range of intermediate values of the test statistic. This shortcoming…

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Conflict Among Testing Procedures in a Linear Regression Model with Autoregressive Disturbances

自回归扰动线性回归模型中检验程序的冲突

Silvey [10]. For a model with nonstochastic regressors we show that a systematic inequality relation exists among the test statistics; namely, the value of the Wald statistic is greater than or equal to that of the LR statistic which, in turn, is greater than or equal to that of the LM statistic. When the null hypothesis is true, we find that the Wald, LR, and LM test statistics have identical limiting chi-square distributions. Since for a large sample test the three…

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Some Experimental Results on the Statistical Properties of Least Squares Estimates in Control Problems

控制问题中最小二乘估计统计性质的实验结果

The statistical properties of the certainty equivalence control rule and of the least squares estimates generated by this rule are examined experimentally in a linear model with two unknown parameters. It is found that the least squares certainty equivalence rule converges to its true value with probability one and is asymptotically efficient, having an asymptotic distribution with a variance as small as any other strongly consistent rule. However, while a linear combination…

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On the Insensitivity of the Autoregressive Moving Average Representations of Some Australian Quarterly Time Series

若干澳大利亚季度时间序列的 ARMA 表示对数据修订的不敏感性

Economic researchers are rarely able to conduct surveys or design experiments to obtain evidence with which to assess theories or hypotheses but must rely on information, such as the national income accounting data, compiled by the government bureau of statistics. The bureau revises its national income estimates as more information becomes available or as a result of changes in methods of estimation or minor changes in definitions or classifications. The purpose of this…

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An Econometric Evaluation of a Generalized Consumer Surplus Measure: The Mineral King Controversy

广义消费者剩余度量的计量评价:Mineral King 争议

Charles J. Cicchetti, Anthony C. Fisher, V. Kerry Smith, An Econometric Evaluation of a Generalized Consumer Surplus Measure: The Mineral King Controversy, Econometrica, Vol. 44, No. 6 (Nov., 1976), pp. 1259-1276

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A Note on Bias in the Almon Distributed Lag Estimator

关于 Almon 分布滞后估计量偏差的札记

IN A RECENT PAPER Cargill and Meyer [1] use Monte Carlo simulations to examine the behavior of some distributed lag estimators when the lag structure is misspecified. The authors hold that it is not easy to compare the Almon polynomial lag method and OLS analytically if the restrictions imposed by the Almon procedure are not correct. It is our intention to derive analytical expressions for the bias in the Almon estimator. We postulate a linear distributed lag model

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A Program for Econometric and Spectral Analysis-EAS

计量与谱分析程序 EAS

and FORTRAN IV which is designed to accommodate most researchers' everyday econometric needs. However, this program is particularly useful when spectral methods are combined (in an ex post sense) with regression and simultaneous equations estimation., Residuals from regression or simultaneous equations estimation are easily saved by EAS and used in later spectral computations by using only two program statements.1 All spectral computations are highly efficient since the fast…

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A Note of Identification and Information Loss through Aggregation

关于聚合过程中的识别与信息损失的札记

DISCUSSIONS OF IDENTIFICATION of parameters in simultaneous equation econometric models almost invariably assume that data are in the form of aggregative time series, i.e., only one measurement of each variable is available in each time period. This note shows that parameters in a model which is underidentified by the usual rank and order criteria at the aggregative level may be identified when disaggregated data aie available. The argument is presented in terms of a…

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