Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals

In this paper, some recurrence relations are presented for the single and product moments of progressively Type-II right censored order statistics from a Pareto distribution. These relations are obtained for a progressively censored sample from Pareto distribution with fixed and random removals, where in the random case, the number of units removed at each failure time follows a binomial distribution. In addition,Thomas-Wilson’s Mixture Formula for Moments are obtained with with fixed and random removals. Finally, a numerical study is carried out to compare real and simulation results based on biases and MSEs of the expected termination time.

Keywords:

Binomial removal , Monte Carlo simulation , Product moments , Progressive Type-II right-censored order statistics , Recurrence relations , Single moments