Power series with i.i.d. coefficients
Copyright policy ) Barry C. Arnold; Krishna B. Athreya;
Power series with i.i.d. coefficients
Abstract In this work we consider a power series of the form X = ∑ j = 0 ∞ δ j Z j where 0 δ 1 and { Z j } j ≥ 0 is an i.i.d. sequence of random variables. We show that X is well-defined iff E [ ( log | Z 0 | ) + ] ∞ and establish a number of properties of the distribution of X , such as continuity and closure under convolution and weak convergence.
- University of California, Riverside United States
- Iowa State University United States
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