Log-Extended Exponential-Geometric Distribution: Moments and Inference Based on Generalized Order Statistics

In this paper, we provide explicit expressions as well as recurrence relations for the single and product moments of generalized order statistics from the log-extended exponential-geometric distribution. These relations are utilized to discuss the special cases of generalized order statistics, and some numerical computations are carried out. Further, we use these results to obtain the best linear unbiased estimators for the location and scale parameters based on progressively Type-II right censored samples. Finally, a real data application is presented.

Automated summary

In this paper, explicit expressions and recurrence relations for the single and product moments of generalized order statistics are provided. These results are used to discuss special cases of generalized order statistics and obtain best linear unbiased estimators. Numerical computations and a real data application are also presented.