The main inference problems related to t he Rayleigh distribution a re the es t imatiop of its parameter a nd the t est of t he hypothesis that a given set of observation s is from such a distr ibution . It is shown that (in case of radio signals) t he most effieient es timate of the parameter is obtain ed using t he sample mean power. Complications may a rise wh en data are missin g or a re a ...