Noncentral Limit Theorems for Quadratic Forms in Random Variables Having Long-Range Dependence
نویسندگان
چکیده
منابع مشابه
Central Limit Theorems for Dependent Random Variables
1. Limiting distributions of sums of 'small' independent random variables have been extensively studied and there is a satisfactory general theory of the subject (see e.g. the monograph of B.V. Gnedenko and A.N. Kolmogorov [2]). These results are conveniently formulated for double arrays Xn k (k = 1, . . . , kn ; n = 1, 2, . . . ) of random variables where the Xn k (k = 1, . . . , kn), the rand...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1985
ISSN: 0091-1798
DOI: 10.1214/aop/1176993001