Abstract
In this paper, we establish some new recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the doubly truncated generalized exponential distribution. These relations generalize the results given by Balakrishnan et al: [1] for the progressively Type-II right censored order statistics for standard exponential and right truncated exponential distributions. These results, also generalize the corresponding results for usual order statistics due to Saran and Pushkarna [2] for the doubly truncated generalized exponential distribution. In the last section, some deduction and particular cases are also discussed.