Toward a General Law of the Iterated Logarithm in Banach Space
نویسندگان
چکیده
منابع مشابه
A Law of the Iterated Logarithm for General Lacunary Series
This was first proved for Bernoulli random variables by Khintchine. Salem and Zygmund [SZ2] considered the case when the Xk are replaced by functions ak cosnkx on [−π, π] and gave an upper bound ( ≤ 1) result; this was extended to the full upper and lower bound by Erdös and Gál [EG]. Takahashi [T1] extends the result of Salem and Zygmund: Consider a real measurable function f satisfying f(x + 1...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1993
ISSN: 0091-1798
DOI: 10.1214/aop/1176989009