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Identification and Estimation of Dichotomous Latent Variables Models Using Panel Data

利用面板数据识别和估计二元潜变量模型

Identification conditions for binary choice errors-in-variables models are explored. Conditions for the consistency and asymptotic normality of the maximum likelihood estimators of binary choice models with unbounded explanatory variables are given. Two- or three-step estimators to simplify computation are also suggested.

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Best Nonlinear Three-Stage Least Squares Estimation of Certain Econometric Models

若干计量模型的最优非线性三阶段最小二乘估计

A method is presented for estimating nonlinear simultaneous equations and transformation models in the presence of disturbance distribution of unknown form. It asymptotically achieves the lower variance bound for instrumental variables estimates. The author avoids smoothed nonparametric estimation, his instruments averaging over the unsmoothed empirical distribution of preliminary residuals. He allows for stationary serial dependence. In various settings, estimates are…

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Subgroup Consistent Poverty Indices

具有子群一致性的贫困指数

It seems desirable that the overall level of poverty should fall whenever poverty decreases within some subgroup of the population and is unchanged outside that group. Yet this simple and attractive property, which we call "subgroup consistency," is violated by many of the poverty indices suggested in recent years. This paper characterizes the class of subgroup consistent poverty indices, and identifies the special features associated with this property. Copyright 1991 by…

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Empirical models of discrete games

离散博弈的实证模型

This paper develops econometric models for discrete games. Specifically, we model the payoffs of games where a researcher observes qualitative or censored information about agents' decisions and payoffs. These models extend single-person qualitative choice models introduced by McFadden (1974) and others to multiple-person choice problems. The equations describing players' equilibrium strategies depend on the game's structure and the equilibrium solution concept. We show that…

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On Negative Mass Assigned by the Bivariate Kaplan-Meier Estimator

二元 Kaplan–Meier 估计量赋予的负质量

Conditions under which the bivariate Kaplan-Meier estimate of Dabrowska is not a proper survival function are given. All points assigned negative mass are identified under the assumption that the observations follow an absolutely continuous distribution. The number of points assigned negative mass increases as $n^2$ and the total amount of negative mass does not disappear as $n \rightarrow \infty$, where $n$ is the sample size. A simulation study is reported which shows that…

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On the Consistency of Posterior Mixtures and Its Applications

后验混合分布的一致性及其应用

Consider i.i.d. pairs $(\theta_i, X_i), i \geq 1$, where $\theta_1$ has an unknown prior distribution $\omega$ and given $\theta_1, X_1$ has distribution $P_{\theta_1}$. This setup arises naturally in the empirical Bayes problems. We put a probability (a hyperprior) on the space of all possible $\omega$ and consider the posterior mean $\hat{\omega}$ of $\omega$. We show that, under reasonable conditions, $P_{\hat{\omega}} = \int P_\theta d\hat{\omega}$ is consistent in $L_1$.…

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Multivariate Adaptive Regression Splines

多元自适应回归样条

A new method is presented for flexible regression modeling of high dimensional data. The model takes the form of an expansion in product spline basis functions, where the number of basis functions as well as the parameters associated with each one (product degree and knot locations) are automatically determined by the data. This procedure is motivated by the recursive partitioning approach to regression and shares its attractive properties. Unlike recursive partitioning,…

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Error Model Diagnostics in the General Linear Model Relevant to the Analysis of Repeated Measurements and Field Experiments

一般线性模型的误差诊断:重复测量与田间试验

SUMMARY The large sample distribution of the recursive residual maximum likelihood residuals from the general linear model with dependent errors is derived. Further results are obtained from this distribution to aid the identification of an appropriate error model in the general linear model.

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Identification and Panel Data Models with Endogenous Regressors

含内生解释变量的面板数据模型识别

This paper provides sufficient conditions for the identification of both static and dynamic models containing endogenous regressors from panel data by utilizing the restrictions across time periods on the parameters. It is shown that identification is achieved under quite weak conditions even in the presence of a general pattern of correlation between the errors and the time-varying variables. Efficient estimation procedures for the models considered and some specification…

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Estimating the number of component processes of a superimposed process

叠加过程的组成过程数量估计

We consider a superposition of an unknown number of independent homogeneous Poisson processes with unknown rates and suppose that when an event occurs, the component process in which it occurred can be identified. The number of component processes and their rates are to be estimated by observing the system for some time. In the general case, it is difficult to estimate all of the parameters but we derive the best unbiased estimators of some parametric functions. Inferences…

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A Weibull Model for Dependent Censoring

用于依赖删失的威布尔模型

A bivariate Weibull model is proposed for censored survival data when there may be dependence between the survival and censoring random variables. The model is based on marginal transformations of the Pickands class of bivariate exponential distributions. Assuming the model to hold, the joint distribution of survival and censoring times is shown to be identifiable, and the maximum likelihood estimator of the parameters is shown to be consistent.

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Identification of Nonlinear Time Series: First Order Characterization and Order Determination

非线性时间序列识别:一阶刻画与阶数确定

We study the possibility of identifying nonlinear time series using nonparametric estimates of the conditional mean and conditional variance. It is shown that most nonlinear models satisfy the assumptions needed to apply nonparametric asymptotic theory. Sampling variations of the conditional quantities are studied by simulation and explained by asymptotic arguments for a number of first-order nonlinear autoregressive processes. The conditional mean and variance can be used…

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Unmasking Multivariate Outliers and Leverage Points

揭示被掩蔽的多元异常值与杠杆点

Detecting outliers in a multivariate point cloud is not trivial, especially when there are several outliers. The classical identification method does not always find them, because it is based on the sample mean and covariance matrix, which are themselves affected by the outliers. That is how the outliers get masked. To avoid the masking effect, we propose to compute distances based on very robust estimates of location and covariance. These robust distances are better suited…

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Unmasking Multivariate Outliers and Leverage Points: Comment

《揭示多元异常值与杠杆点》:评论

Detecting outliers in a multivariate point cloud is not trivial, especially when there are several outliers. The classical identification method does not always find them, because it is based on the sample mean and covariance matrix, which are themselves affected by the outliers. To avoid this masking effect, we propose to compute distances based on very robust estimates of location and covariance. In the case of regression data, the outliers also may be unmasked by using a…

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Correlated Binary Regression Using a Quadratic Exponential Model

利用二次指数模型分析相关二元响应

A model of quadratic exponential form is parameterized in terms of marginal means and pairwise correlations for the regression analysis of correlated binary data. Pseudo-maximum likelihood methods using a special case termed the multiplicative model are proposed, but are noted to be computationally unattractive if the ‘blocks’ of correlated responses are at all large. On the other hand score estimating functions for mean and correlation parameters are shown to be of a…

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The Identification of ARMA Models

ARMA 模型的阶数识别

We present a new powerful method for determining the order of ARMA (p, q) models having small sets of observations. The procedure is based on an autoregressive order determination criterion and on linear estimation methods. Simulated data are used to demonstrate the capabilities of the approach.

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On the Normalization of Structural Equations: Properties of Direction Estimators

结构方程的归一化:方向估计量的性质

In the general structural equation model only the direction of the vector of coefficients of the endogenous variables is determined.The traditional normalization rule defines the coefficients that are of interest but should not be embodied in the estimation procedure: we show that the properties of the traditionally defined ordinary least squares and two stage least squares estimators are distorted by their dependence on the normalization rule.Symmetrically normalized…

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The Empirical Content of the Roy Model

Roy 模型的经验内容

This paper explores the robustness of the essential economic conclusions of the Roy model of self-selection and income inequality to relaxation of its normality assumptions. A log concave version of the model reproduces most of the main results. Log convex cases offer counterexamples. The authors show that in a Roy economy, random assignment is inegalitarian and Pareto inefficient. They consider nonparametric identifiability of latent skill distributions with cross-section…

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Professor Michio Hatanaka

畑中道雄教授访谈

This interview with Michio Hatanaka is the first in this series given in the East, of which we are very proud. Hatanaka is a pioneer of econometrics in Japan. In the early 1950s he traveled to the United States to study as a graduate student at Vanderbilt University. That step was really unusual in the Japanese profession at that time. His stay in the States was extended to 1966, during which time he taught at Princeton and Rochester. His pathfinding behavior influenced and…

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On efficient estimation with panel data: An empirical comparison of instrumental variables estimators

面板数据的有效估计:工具变量估计量的经验比较

Abstract This paper attempts a replication of the Cornwell and Rupert (1988) study—hereafter CR. The CR study investigated the efficiency gains in a returns to schooling example by applying alternative sets of instrumental variables estimators for panel data regressions proposed by Hausman and Taylor (1981), Amemiya and MaCurdy (1986), and Breusch, Mizon, and Schmidt (1989). Corrections on the CR data set lead to changes in the legitimate set of instruments, when the time…

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Some Further Results on the Exact Small Sample Properties of the Instrumental Variable Estimator

工具变量估计量精确小样本性质的进一步结果

New results on the exact small sample distribution of the instrumental variable estimator are presented by studying an important special case. The exact closed forms for the probability density and cumulative distribution functions are given. There are a number of surprising findings. The small sample distribution is bimodal. with a point of zero probability mass. As the asymptotic variance grows large, the true distribution becomes concentrated around this point of zero…

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Efficient Instrumental Variables Estimation of Nonlinear Models

非线性模型的有效工具变量估计

This paper considers asymptotically efficient instrumental variables estimation of nonlinear models in an i.i.d. environment. The optimal instruments are estimated by nonparametric methods, either nearest neighbor or series regression. Ways of choosing the degree of approximation of the nonparametric instruments are discussed. Asymptotic efficiency is shown. The finite sample properties of the estimators are examined in a small sampling study of an endogenous dummy variable…

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