A Wiener-Hopf Integral Equation Arising in Some Inference and Queueing Problems
推断与排队问题中的 Wiener–Hopf 积分方程
The solution is presented to an integral equation of Wiener-Hopf type which has been recently treated numerically by Hinkley in connexion with the problem of inference about the change-point in a sequence of random variables. The closed form solution given here enables results to be obtained easily in situations where the numerical method fails. A similar integral equation arises in a queueing problem where the difference between inter-arrival and service time of a customer…