Abstract
In this article, we derive explicit expressions as well as recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the Weibull-geometric distribution. Based on these moments, the best linear unbiased estimators for the scale and location-scale parameters of the Weibull-geometric distribution are obtained. The best linear unbiased predictors of future failure times are also discussed. Finally, an example is considered for illustrative purposes.