Some problems connected with Rayleigh distributions

Abstract

This is an expository paper presenting t he following : (1) t hc origin, and (2) t he propelties of the R ayleigh distribution ; (3) the most e fficient cstimators of its paramctcrs; (4) a test of the hypothesis that a set of observations is from a R ayleigh dist ribu t ion ; (5) t he distr ibu t ion of t he ratio of t wo independent Rayleigh vari "tcs; and (6) the Rayleigh process deri ved from a normal process.