经济学中一类线性过程模型样本分布的渐近性质

On Asymptotics of the Sample Distribution for a Class of Linear Process Models in Economics

Econometric Theory · 1992
被引 0
人大 A-ABS 4

中文导读

研究了无限阶移动平均过程中经验分布函数的几乎必然一致收敛速度,其中创新项服从稳定分布且参数序列以多项式或指数速率衰减,对计量经济学中无限方差过程的应用有参考价值。

Abstract

Let … be a moving average process of infinite order where the innovations ε( k ) are in the domain of attraction of a stable law with index α ε (0, 2) and the parameter sequence decreases at a polynomial or exponential rate. These and similar processes have recently received increased attention both in the econometrics and statistics/probability literature. The present paper studies almost sure uniform rates of convergence of the empirical distribution function. Applications of these infinite variance processesin econometrics are mentioned.

线性过程渐近分布经验分布函数稳定律