对数周期图回归估计量的精确偏差

THE EXACT BIAS OF THE LOG-PERIODOGRAM REGRESSION ESTIMATOR

Econometric Reviews · 2001
被引 6
人大 A-ABS 3

中文导读

给出了零均值平稳高斯过程周期图精确分布的公式,并应用于推导对数周期图回归估计量的精确偏差,提供了可计算的偏差边界。

Abstract

The paper makes two contributions. First, we provide a formula for the exact distribution of the periodogram evaluated at any arbitrary frequency, when the sample is taken from any zero-mean stationary Gaussian process. The inadequacy of the asymptotic distribution is demonstrated through an example in which the observations are generated by a fractional Gaussian noise process. The results are then applied in deriving the exact bias of the log-periodogram regression estimator (Geweke and Porter-Hudak (1983), Robinson (1995)). The formula is computable. Practical bounds on this bias are developed and their arithmetic mean is shown to be accurate and useful.

精确偏误周期图精确分布分数高斯噪声