An inductive procedure is used to obtain distributions and probability densities for the sum $S_n$ of independent, non equally uniform random variables. Some known results are then shown to follow immediately as special cases. Under the assumption of equally uniform random variables some new formulas are obtained for probabilities and means related to $S_n$. Finally, some new recursive formulas involving distributions are derived.

A Note on the Sum of Uniform Random Variables

CAPUTO, LUIGIA
2009-01-01

Abstract

An inductive procedure is used to obtain distributions and probability densities for the sum $S_n$ of independent, non equally uniform random variables. Some known results are then shown to follow immediately as special cases. Under the assumption of equally uniform random variables some new formulas are obtained for probabilities and means related to $S_n$. Finally, some new recursive formulas involving distributions are derived.
2009
79 (19)
2092
2097
Induction; Recursive formulas; Convolution.
A. Buonocore; E. Pirozzi; L. Caputo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/61666
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