On a Distribution Associated with Certain Stochastic Processes
与若干随机过程相关的一种分布
Summary The distribution discussed is (a) the total number of games lost by the ruined gambler starting with a monetary units against an infinitely rich adversary in the classical ruin problem; (b) the total size of an epidemic in an infinite population starting with a cases and with constant probabilities of infection and recovery; (c) the number of customers served in a busy period (starting with a customers) of the queue M/M/1. These derivations, the relationships between…