A CENTRAL LIMIT THEOREM, AND RELATED RESULTS, FOR A TWO-COLOR RANDOMLY REINFORCED URN
β Scribed by GIACOMO ALETTI, CATERINA MAY and PIERCESARE SECCHI
- Book ID
- 125067541
- Publisher
- Applied Probability Trust
- Year
- 2009
- Tongue
- English
- Weight
- 1022 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0001-8678
- DOI
- 10.2307/27793904
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## Abstract Let {__S~n~__, __n__ β₯ 1} be partial sums of independent identically distributed random variables. The almost sure version of CLT is generalized on the case of randomly indexed sums {__S~Nn~__, __n__ β₯ 1}, where {__N~n~__, __n__ β₯ 1} is a sequence of positive integerβvalued random varia
The angular bispectrum of spherical random fields has recently gained anenormous importance, especially in connection with statistical inference on cosmologicaldata. In this paper, we analyze its moments and cumulants of arbitrary order andwe use these results to establish a multivariate central lim