This paper develops the probability functions of a renewal process, whose interarrival times are independent and identically distributed (i.i.d.) random variables with Erlang distribution. The results are obtained and proved through relation between Poisson and Erlang and between Beta and Binomial distributions. The distribution of the number of renewals in A =[a,b), 0 a b, and its expectation and their numerical values are given in the form of tables. An example is presented, to show the application.

Included in

Probability Commons