TY - JOUR T1 - Determination of the Renewal Function of Some Renewal Processes TT - تعیین تابع تجدید برخی از فرایندهای تجدید JF - Andishe-_ye-Amari JO - Andishe-_ye-Amari VL - 24 IS - 1 UR - http://andisheyeamari.irstat.ir/article-1-538-en.html Y1 - 2019 SP - 43 EP - 49 KW - ‎Laplace Transformation‎ KW - ‎Renewal Process‎ KW - ‎Renewal Function‎. N2 - ‎There is a one to one correspondence between renewal function and the probability density function of the times of observations of the successive occurrences of each renewal process‎. ‎Furthermore‎, ‎practical application of renewal processes requires renewal function information‎, ‎and this function plays an essential role in the study of renewal processes behavior by which predictions could be made‎. ‎In this paper‎, ‎the renewal functions corresponding with two distributions with the times of successive observations distributed by Erlang (n,lambda) ‎ , ‎and uniform (0,b) are determined by Laplace transform and its theorems‎. ‎Finally‎, ‎an application of the renewal process is presented in physics‎. M3 ER -