The Borel-Cantelli lemma for strong mixing sequences of events and their applications to LIL
نویسندگان
چکیده
منابع مشابه
On the Second Borel-Cantelli Lemma for strongly mixing sequences of events
holds. This is the assertion of the Second Borel-Cantelli Lemma. If the assumption of independence is dropped, (1) fails in general. However, (1) remains true if independence is replaced by pairwise independence (Durrett (1991), Theorem (6.6) ch. 1) or by uniform mixing (Iosifescu and Theodorescu (1969) Lemma 1.1.2’). Rieders (1993) showed by an example that strong mixing without any further as...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1979
ISSN: 0386-5991
DOI: 10.2996/kmj/1138036012