Displaying similar documents to “Limit laws for Random matrices and free products.”

Asymptotics for Products of a Random Number of Partial Sums

Marcin Przystalski (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

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We consider products of a random number of partial sums of independent, identically distributed, positive square-integrable random variables. We show that the distribution of these products is asymptotically lognormal.

Remarks on conditional moments of the free deformed Poisson random variables

Wiktor Ejsmont (2011)

Banach Center Publications

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We will show that the conditional first moment of the free deformed Poisson random variables (q = 0) corresponding to operators fulfilling the free relation is a linear function of the regression and the conditional variance also is a linear function of the regression. For this purpose we will first demonstrate some properties of the Wick product and then we will concentrate on the free deformed Poisson random variables.