Moments of order statistics from truncated log-logistic distribution

Several recurrence relations are established for both single and product moments of order statistics from a right truncated log-logistic distribution. It is shown that starting with the first k raw moments of the right truncated log-logistic distribution, these recurrence relations could be systematically used in order to evaluate the first k single moments and product moments of all order statistics for all simple sizes. These results are then generalized to the doubly truncated log-logistic distribution.