Another approach to Brownian motion
نویسندگان
چکیده
منابع مشابه
Another approach to Brownian motion
For the partial sums Sn = Y1 + . . . + Yn of a centered stationary strongly mixing sequence {Yi} with finite second moment, the well-known sufficient conditions for the central limit theorem are that Var(Sn)/n is slowly varying as n → ∞ and the sequence {S2 n/σn} is uniformly integrable (σn = Var(Sn)). The conditions are checkable under various mixing conditions and they lead to the central lim...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2006
ISSN: 0304-4149
DOI: 10.1016/j.spa.2005.09.004