OLS的尾部相依性

TAIL DEPENDENCE OF OLS

Econometric Theory · 2021
被引 1
人大 A-ABS 4

中文导读

证明在多元回归模型误差为重尾分布时,普通最小二乘估计量之间存在尾部相依性,且拟合平方和与残差平方和也存在尾部相依性。

Abstract

This paper shows that if the errors in a multiple regression model are heavy-tailed, the ordinary least squares (OLS) estimators for the regression coefficients are tail-dependent. The tail dependence arises, because the OLS estimators are stochastic linear combinations of heavy-tailed random variables. Moreover, tail dependence also exists between the fitted sum of squares (FSS) and the residual sum of squares (RSS), because they are stochastic quadratic combinations of heavy-tailed random variables.

OLS估计量尾部相依重尾误差残差平方和