Random normalization and thinning for discrete random variables

Abstrakt

Different variants of thinning for discrete random variables are studied. The thinning procedure allows to introduce an analog of scale parameter for positive integer-valued random variables.

Sufficient and necessary conditions for the existence of such a scale are given.

Klíčová slova

• Random normalization
• thinning operators
• Bernstein Theorem
• problem of moments
• Sibuya distribution.