Estimation of Random-Coefficient Dynamic Panel Data Models with a Fixed T

📅 2026-08-24
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本文研究了具有个体特异性系数和灵活误差结构的动态面板数据模型,提出了一种基于逆Radon变换的多步估计方法以解决随机系数分布及误差密度估计问题。
📝 Abstract
We study dynamic linear panel data models in which the lagged outcomes and strictly exogenous covariates carry individual-specific coefficients and the time-varying errors have a flexible covariance structure. With a fixed number of time periods, we point-identify the joint distribution of the random coefficients and the structural errors under a distributional form of strict exogeneity, and propose a closed-form, multi-step estimator based on the inverse Radon transform. We establish a uniform convergence rate for the estimator of the random coefficient density, as well as uniform consistency of the estimator for the conditional density of the time-varying structural errors. Monte Carlo simulations demonstrate good finite-sample performance of the estimators.
Problem

Research questions and friction points this paper is trying to address.

Dynamic Panel Data Models
Random Coefficients
Fixed T
Strict Exogeneity
Structural Errors
Innovation

Methods, ideas, or system contributions that make the work stand out.

inverse Radon transform
random coefficients
dynamic panel data models
strict exogeneity
uniform convergence rate
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