Families of distributions for hourly median power and instantaneous power of received radio signals

In t his pa per the gamm a fa mily of probability dist ribu t ions is st udied in co nn cction wit h t he dist ri bution of hourly median received power or transmission loss. By tak in g a mixture of R ay leigh di st ri but ions with gamm a distri butions as mixing d ist ribu t ions th e long-term distr ibutions of instantaneous sign al power are t heoreticall y deri ved . These di st ribu tions arc eva luated in closed fo rm under seve ra l hy potheses . T he qu estio n of estim atin g t he parameters is discussed. Graphs a nd tab les arc prepared to facilitate t he a ppli cation of t he theory to t he data.