Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals
نویسندگان
1 Department of Statistics, Yazd University, 89175-741, Yazd, Iran
2 Department of Statistics, Yazd University, 89175-741, Yazd, Iran
doi
10.22034/jsmta.2020.1709چکیده
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.