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面板数据:固定效应、动态面板、异质性与潜在分组。
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Generalized varying coefficient models for longitudinal data

纵向数据的广义变系数模型

We propose a generalization of the varying coefficient model for longitudinal data to cases where not only current but also recent past values of the predictor process affect current response. More precisely, the targeted regression coefficient functions of the proposed model have sliding window supports around current time t. A variant of a recently proposed two-step estimation method for varying coefficient models is proposed for estimation in the context of these…

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Modelling Sparse Generalized Longitudinal Observations with Latent Gaussian Processes

用潜在高斯过程建模稀疏广义纵向观测

Summary In longitudinal data analysis one frequently encounters non-Gaussian data that are repeatedly collected for a sample of individuals over time. The repeated observations could be binomial, Poisson or of another discrete type or could be continuous. The timings of the repeated measurements are often sparse and irregular. We introduce a latent Gaussian process model for such data, establishing a connection to functional data analysis. The functional methods proposed are…

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A joint serial correlation test for linear panel data models

线性面板数据模型的联合序列相关检验

This paper proposes a joint error serial correlation test to be applied to linear panel data models after generalised method of moments estimation. This new test is an alternative inferential tool to both the m2 test of [Arellano, M., Bond, S., 1991. Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies 58, 277-297] and the overidentifying restrictions test. The proposed test, called the test,…

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Quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects when both n and T are large

个体数与时期数均较大时固定效应空间动态面板的准极大似然估计

This paper investigates the asymptotic properties of quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects, when both the number of individuals n and the number of time periods T are large. We consider the case where T is asymptotically large relative to n, the case where T is asymptotically proportional to n, and the case where n is asymptotically large relative to T. In the case where T is asymptotically large relative to n, the estimators…

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Analysis of Smoking Cessation Patterns Using a Stochastic Mixed-Effects Model With a Latent Cured State

含潜在永久戒烟状态的随机混合效应模型

We develop a mixed model to capture the complex stochastic nature of tobacco abuse and dependence. This model describes transition processes among addiction and nonaddiction stages. An important innovation of our model is allowing an unobserved cure state, or permanent quitting, in contrast to transient quitting. This distinction is necessary to model data from situations where censoring prevents unambiguous determination that a person has been "cured." Moreover, the…

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Semiparametric Bayesian inference for dynamic Tobit panel data models with unobserved heterogeneity

含不可观测异质性的动态 Tobit 面板模型:半参数贝叶斯推断

Abstract This paper develops semiparametric Bayesian methods for inference of dynamic Tobit panel data models. Our approach requires that the conditional mean dependence of the unobserved heterogeneity on the initial conditions and the strictly exogenous variables be specified. Important quantities of economic interest such as the average partial effect and average transition probabilities can be readily obtained as a by‐product of the Markov chain Monte Carlo run. We apply…

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A bootstrap procedure for panel data sets with many cross-sectional units

适用于大量截面单位面板数据的自助法程序

This paper considers the issue of bootstrap resampling in panel data sets. The availability of data sets with large temporal and cross-sectional dimensions suggests the possibility of new resampling schemes. We suggest one possibility which has not been widely explored in the literature. It amounts to constructing bootstrap samples by resampling whole cross-sectional units with replacement. In cases where the data do not exhibit cross-sectional dependence but exhibit…

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Panel vector autoregression under cross-sectional dependence

横截面相关下的面板向量自回归

This paper studies estimation in panel vector autoregression (VAR) under cross-sectional dependence. The time series are allowed to be an unknown mixture of stationary and unit root processes with possible cointegrating relations. The cross-sectional dependence is modeled with a factor structure. We extend the factor analysis in Bai and Ng (2002, Econometrica 70, 91--221) to vector processes. The fully modified (FM) estimator in Phillips (1995) is used for estimation in…

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Wavelet-Based Nonparametric Functional Mapping of Longitudinal Curves

纵向曲线的基于小波的非参数功能定位

Functional mapping based on parametric and nonparametric modeling of functional data can estimate the developmental pattern of genetic effects on a complex dynamic or longitudinal process triggered by quantitative trait loci (QTLs). But existing functional mapping models have a limitation for mapping dynamic QTLs with irregular functional data characterized by many local features, such as peaks. We derive a statistical model for QTL mapping of longitudinal curves of any form…

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A Unified Approach to Nonparametric Comparison of Receiver Operating Characteristic Curves for Longitudinal and Clustered Data

纵向与聚类数据中ROC曲线非参数比较的统一方法

We present a unified approach to nonparametric comparisons of receiver operating characteristic (ROC) curves for a paired design with clustered data. Treating empirical ROC curves as stochastic processes, their asymptotic joint distribution is derived in the presence of both between-marker and within-subject correlations. A Monte Carlo method is developed to approximate their joint distribution without involving nonparametric density estimation. The developed theory is…

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Penalized Clustering of Large-Scale Functional Data With Multiple Covariates

含多个协变量的大规模函数数据惩罚聚类

In this article we propose a penalized clustering method for large-scale data with multiple covariates through a functional data approach. In our proposed method, responses and covariates are linked together through nonparametric multivariate functions (fixed effects), which have great flexibility in modeling various function features, such as jump points, branching, and periodicity. Functional ANOVA is used to further decompose multivariate functions in a reproducing kernel…

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Two-Sided Estimation of Mate Preferences for Similarities in Age, Education, and Religion

年龄、教育与宗教相似性择偶偏好的双边估计

We propose a two-sided method to simultaneously estimate men's and women's preferences for relative age, education, and religious characteristics of potential mates using cross-sectional data on married couples and single individuals, in conjunction with a behavioral model developed in game theory and discrete choice estimation methods developed for simpler, one-sided choice situations. We use fixed effects to control for characteristics that are observed by the opposite sex…

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Inference in panel data models under attrition caused by unobservables

不可观测因素引致样本流失时的面板模型推断

This paper concerns identification and estimation of a finite-dimensional parameter in a panel data-model under nonignorable sample attrition. Attrition can depend on second period variables which are unobserved for the attritors but an independent refreshment sample from the marginal distribution of the second period values is available. This paper shows that under a quasi-separability assumption, the model implies a set of conditional moment restrictions where the moments…

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Difference in difference meets generalized least squares: Higher order properties of hypotheses tests

双重差分与广义最小二乘:假设检验的高阶性质

We investigate the estimation and inference in difference in difference econometric models used in the analysis of treatment effects. When the innovations in such models display serial correlation, commonly used ordinary least squares (OLS) procedures are inefficient and may lead to tests with incorrect size. Implementation of feasible generalized least squares (FGLS) procedures is often hindered by too few observations in the cross-section to allow for unrestricted…

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Maximum likelihood estimation and inference methods for the covariance stationary panel AR(1)/unit root model

协方差平稳面板 AR(1)/单位根模型的最大似然估计与推断

This paper considers Maximum Likelihood (ML) based estimation and inference procedures for linear dynamic panel data models with fixed effects. The paper first studies the asymptotic properties of MaCurdy's [MaCurdy, T., 1982. The use of time series processes to model the time structure of earnings in a longitudinal data analysis. Journal of Econometrics 18, 83-114] First Difference Maximum Likelihood (FDML) estimator for the covariance stationary panel AR(1)/unit rootÂ…

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Evolution of forecast disagreement in a Bayesian learning model

贝叶斯学习模型中预测分歧的演化

We estimate a Bayesian learning model with heterogeneity aimed at explaining expert forecast disagreement and its evolution over horizons. Disagreement is postulated to have three components due to differences in: (i) the initial prior beliefs, (ii) the weights attached on priors, and (iii) interpreting public information. The fixed-target, multi-horizon, cross-country feature of the panel data allows us to estimate the relative importance of each component precisely. The…

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A PERMUTATION-BASED ESTIMATOR FOR MONOTONE INDEX MODELS

单调指数模型的排序估计量

This paper shows that the finite-dimensional parameters of a monotone-index model can be estimated by minimizing an objective function based on sorting the data. The key observation guiding this procedure is that the sum of distances between pairs of adjacent observations is minimized (over all possible permutations) when the observations are sorted by their values. The resulting estimator is a generalization of Cavanagh and Sherman's monotone rank estimator (MRE) (Cavanagh…

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GAUSSIAN INFERENCE IN AR(1) TIME SERIES WITH OR WITHOUT A UNIT ROOT

有无单位根的 AR(1) 时间序列中的高斯推断

This paper introduces a simple first-difference-based approach to estimation and inference for the AR(1) model. The estimates have virtually no finite-sample bias and are not sensitive to initial conditions, and the approach has the unusual advantage that a Gaussian central limit theory applies and is continuous as the autoregressive coefficient passes through unity with a uniform $\sqrt{n}$ rate of convergence. En route, a useful central limit theorem (CLT) for sample…

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Risk, jumps, and diversification

风险、跳跃与分散化

We test for price discontinuities, or jumps, in a panel of high-frequency intraday stock returns and an equiweighted index constructed from the same stocks. Using a new test for common jumps that explicitly utilizes the cross-covariance structure in the returns to identify non-diversifiable jumps, we find strong evidence for many modest-sized, yet highly significant, cojumps that simply pass through standard jump detection statistics when applied on a stock-by-stock basis.…

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Nonparametric estimation and testing of fixed effects panel data models

固定效应面板模型的非参数估计与检验

In this paper we consider the problem of estimating nonparametric panel data models with fixed effects. We introduce an iterative nonparametric kernel estimator. We also extend the estimation method to the case of a semiparametric partially linear fixed effects model. To determine whether a parametric, semiparametric or nonparametric model is appropriate, we propose test statistics to test between the three alternatives in practice. We further propose a test statistic for…

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Generalized Linear Models Incorporating Population Level Information: An Empirical-Likelihood-Based Approach

纳入总体层面信息的广义线性模型:基于经验似然的方法

Summary In many situations information from a sample of individuals can be supplemented by population level information on the relationship between a dependent variable and explanatory variables. Inclusion of the population level information can reduce bias and increase the efficiency of the parameter estimates. Population level information can be incorporated via constraints on functions of the model parameters. In general the constraints are non-linear, making the task of…

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Sequential numerical integration in nonlinear state space models for microeconometric panel data

微观面板非线性状态空间模型中的序贯数值积分

Abstract This paper discusses the estimation of a class of nonlinear state space models including nonlinear panel data models with autoregressive error components. A health economics example illustrates the usefulness of such models. For the approximation of the likelihood function, nonlinear filtering algorithms developed in the time‐series literature are considered. Because of the relatively simple structure of these models, a straightforward algorithm based on sequential…

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Modeling Disease Progression With Longitudinal Markers

利用纵向标志物建模疾病进展

In this paper we propose a Bayesian natural history model for disease progression based on the joint modeling of longitudinal biomarker levels, age at clinical detection of disease and disease status at diagnosis. We establish a link between the longitudinal responses and the natural history of the disease by using an underlying latent disease process which describes the onset of the disease and models the transition to an advanced stage of the disease as dependent on the…

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