Convergence of sum product of a martingale difference sequence
نویسندگان
چکیده
منابع مشابه
On the Convergence in Mean of Martingale Difference Sequences
In [6] Freniche proved that any weakly null martingale difference sequence in L1[0, 1] has arithmetic means that converge in norm to 0. We show any weakly null martingale difference sequence in an Orlicz space whose N-function belongs to ∇3 has arithmetic means that converge in norm to 0. Then based on a theorem in Stout [13][Theorem 3.3.9 (i) and (iii)], we give necessary and sufficient condit...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1988
ISSN: 0018-2079
DOI: 10.32917/hmj/1206129861