98-7   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Uwe Rösler:

A fixed point equation for distributions

We give a complete description of the solutions to the fixed point equation $$W\stackrel{d}{=}\sum_{j=1}^\infty T_jW_j,$$ where $T_j$ are real numbers and the $W,W_1,W_2,\ldots$ are independent, identically distributed random variables.

Mathematics Subject Classification (1991): 60E07


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