论文信息 - A note on the sum of uniform random variables

A note on the sum of uniform random variables

An inductive procedure is used to obtain distributions and probability densities for the sum Sn 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 Sn. Finally, some new recursive formulas involving distributions are derived.

[1] Werner G. Müller,et al. More on the distribution of the sum of uniform random variables , 2009 .

[2] W. Feller,et al. An Introduction to Probability Theory and its Applications, Vol. II , 1967 .

[3] David M. Bradley,et al. On the Distribution of the Sum of n Non-Identically Distributed Uniform Random Variables , 2002, math/0411298.

[4] Feller William,et al. An Introduction To Probability Theory And Its Applications , 1950 .

[5] Edwin G. Olds. A Note on the Convolution of Uniform Distributions , 1952 .

[6] S. M. Sadooghi-Alvandi,et al. On the distribution of the sum of independent uniform random variables , 2009 .