We use martingale methods to obtain an explicit formula for the expected wet period of the finite dam of capacity V, where the amounts of inputs are i.i.d exponential random variables and the output rate is one, when the reservoir is not empty. As a consequence, we obtain an explicit formula for...

In this article we propose a simple method of identifying, at an earlier stage of analysis, the nested structure among the coefficient matrices in multivariate regression models. When the limiting distribution of the estimators of the coefficient matrices are jointly normal, the Wald type...

We consider a G / M / 1 queue with two-stage service policy. The server starts to serve with rate of μ 1 customers per unit time until the number of customers in the system reaches λ. At this moment, the service rate is changed to that of μ 2 customers per unit time and this rate continues...

We consider a G / M / 1 queue with two-stage service policy. The server starts to serve with rate of μ<Subscript>1</Subscript> customers per unit time until the number of customers in the system reaches λ. At this moment, the service rate is changed to that of μ<Subscript>2</Subscript> customers per unit time and this rate continues...</subscript></subscript>