A Recursive Algorithm For the Single and Product Moments of Order Statistics From the Exponential-geometric Distribution and Some Estimation Methods

The exponential-geometric distribution has been proposed as a simple and useful reliability model for analyzing lifetime data. For this distribution, some recurrence relations are established for the single moments and product moments of order statistics. Using these recurrence relations, the means, variances and covariances of all order statistics can be computed for all sample sizes in a simple and efficient recursive manner. Next, we discuss …