TESTING FOR ZERO AUTOCORRELATION WHEN THE INNOVATIONS BELONG TO THE NORMAL DOMAIN OF ATTRACTION OF A CAUCHY LAW
研究了当移动平均过程的新息服从柯西分布的正态吸引域时,经验自相关函数的渐近零分布,并给出了密度级数展开和检验临界值。
We consider the asymptotic null distribution of the empirical autocorrelation function when the innovations of a moving average process belong to the normal domain of attraction of a Cauchy law. A series expansion for the density of the limiting null distribution is developed, and some critical values of the tests are computed numerically.