Almost sure limit theorems are presented for random allocations. A general almost sure limit theorem is proved for arrays of random variables. It is applied to obtain almost sure versions of the central limit theorem for the number of empty boxes when the parameters are in the central domain. Almost sure versions of the Poisson limit theorem in the left domain are also proved.
Berkes, I., CÁki, E., Csörgö, S. and Megyesi, Z., Almost sure limit theorems for sums and maxima from the domain of geometrical partial attraction of semistable laws, in: Limit theorems in probability and statistics, Vol. I, 133-157, János Bolyai Math. Soc. (Budapest, 2002). MR2004c:60080
Limit theorems in probability and statistics, () 133-157.
Limit theorems in probability and statisticsI133157)| false
Brkes, I., Results and problems related to the pointwise central limit theorem, in:Szyszkowicz, B. (Ed.) Asymptotic results in probability and statistics. Elsevier, Amsterdam (1998), 59-96. MR99k:60080
Asymptotic results in probability and statistics., () 59-96.
Asymptotic results in probability and statistics.5996)| false