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Pré-Publication, Document De Travail Année : 2006

Boolean convolution of probability measures on the unit circle

Uwe Franz

Résumé

We introduce the boolean convolution for probability measures on the unit circle. Roughly speaking, it describes the distribution of the product of two boolean independent unitary random variables. We find an analogue of the characteristic function and determine all infinitely divisible probability measures on the unit circle for the boolean convolution.

Dates et versions

hal-00470213 , version 1 (05-04-2010)

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Uwe Franz. Boolean convolution of probability measures on the unit circle. 2006. ⟨hal-00470213⟩
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