English

A Novel Extension of Randomly Weighted Average

Statistics Theory 2013-08-27 v1 Statistics Theory

Abstract

We study a well-known problem concerning a random variable ZZ uniformly distributed between two independent random variables. A new extension has been introduced for this problem and fairly large classes of randomly weighted average distributions are identified by their generalized Stieltjes transforms. In this article we employ the Schwartz distribution theory for finding distributions of this extension; we also study some of their properties.

Keywords

Cite

@article{arxiv.1308.5343,
  title  = {A Novel Extension of Randomly Weighted Average},
  author = {Hazhir Homei},
  journal= {arXiv preprint arXiv:1308.5343},
  year   = {2013}
}

Comments

10 pages 1 figure

R2 v1 2026-06-22T01:14:29.593Z