Kozubowski, Tomasz J. The inner characterization of geometric stable laws. (English) Zbl 0923.60020 Stat. Decis. 12, No. 3, 307-321 (1994). Summary: A geometric stable law is defined as a limiting distribution of appropriately normalized sums of a random number of i.i.d. random variables, where the number of terms has a geometric distribution. We investigate the stability property of such laws and give the inner characterization of this class. The explicit representation of normalizing constants for distributions in the domain of attraction of a geometric stable law is also provided. Cited in 1 ReviewCited in 5 Documents MSC: 60E07 Infinitely divisible distributions; stable distributions 60G50 Sums of independent random variables; random walks 60F05 Central limit and other weak theorems Keywords:geometric stable law; domain of attraction; random summation scheme PDFBibTeX XMLCite \textit{T. J. Kozubowski}, Stat. Decis. 12, No. 3, 307--321 (1994; Zbl 0923.60020)