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 Contents of PMS, Vol. 9, Fasc. 1, pages 115 - 123 PROBABILITIES OF MODERATE DEVIATIONS FOR RANDOMLY INDEXED SUMS OF RANDOM VARIABLES WITH MULTIDIMENSIONAL INDICES Zbigniew A. £agodowski Abstract: Probabilities of moderate deviations for randomly indexed sums of independent and identically distributed random variables with multidimensional indices are studied. The results presented extend some theorems of Ahmad [1] and Gut [11]. 2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -; Key words and phrases: -