How small are the increments of a Wiener process?
نویسندگان
چکیده
منابع مشابه
Some Results on Increments of the Wiener Process
Let λ(T,aT ,α) = { 2aT [ log T aT + α log log T + (1− α) log log aT ]}− 2 where 0 ≤ α ≤ 1 and {W (t), t ≥ 0} be a standard Wiener process. This paper studies the almost sure limiting behaviour of sup 0≤t≤T−aT λ(T,aT ,α)|W (t+aT )−W (t)| as T −→∞ under varying conditions on aT and T aT .
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1978
ISSN: 0304-4149
DOI: 10.1016/0304-4149(78)90001-7