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

In t his p a per the ga mm a fa mily of probability di st ribu t ions is st udi ed in co nn cction wit h t he dist ri bution of hourly medi an received power or transm ission loss. By tak in g a mixture of R ay leigh di st ri b ut ions with gamm a di stri butions as mixing d ist ribu t ions th e lo ng-term distr ibutions of instanta neous sign al power are t heoreticall y deri ved . Th ese di st ribu tions arc eva luated in closed fo rm under seve ra l hy potheses . T he qu es tio n o f estim atin g t he parameters is di scussed. Grap hs a nd tab les arc prepared to facilitate t he a ppli catio n of t he theory to t he d ata.