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- W2952921758 abstract "Let X_1,X_2, . . . be a sequence of i.i.d. mean zero random variables and let S_n the sum of the first n random variables. We show that whenever lim sup_n |S_n|/c_n is finite with probability one and the normalizing sequence {c_n} is sufficiently regular, the corresponding normalized partial sum process sequence is relatively compact in C[0, 1] with canonical cluster set. Combining this result with some LIL type results in the infinite variance case, we obtain Strassen type results in this setting." @default.
- W2952921758 created "2019-06-27" @default.
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- W2952921758 date "2006-01-25" @default.
- W2952921758 modified "2023-09-27" @default.
- W2952921758 title "A generalization of Strassen's functional LIL" @default.
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