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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2021 Volume 505, Pages 138–146 (Mi znsl7127)

On normalization of integer-valued random variables

L. B. Klebanov

Charles University

Abstract: The notion of general families of thinning operator is proposed. The main aim of such notion is to allow normalization of integer-valued random variables inside of the given class. Some examples of the families of thinning operators are given.

Key words and phrases: integer-valued random variables, thinning operators, Sibuya distribution, Poisson distribution.

UDC: 519.2

Received: 11.11.2021



© Steklov Math. Inst. of RAS, 2024