Theorems on large deviations for the sum of random number of summands
نویسندگان
چکیده
منابع مشابه
Limit Theorems for the Number of Summands in Integer Partitions
Central and local limit theorems are derived for the number of distinct summands in integer partitions, with or without repetitions, under a general scheme essentially due to Meinardus. The local limit theorems are of the form of Cramér-type large deviations and are proved by Mellin transform and the two-dimensional saddle-point method. Applications of these results include partitions into posi...
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ژورنال
عنوان ژورنال: Lietuvos matematikos rinkinys
سال: 2010
ISSN: 2335-898X,0132-2818
DOI: 10.15388/lmr.2014.12