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.
Dehqani, N., & Meshkat, R. (2020). Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals. Journal of Statistical Modelling: Theory and Applications, 1(2), 9-35. doi: 10.22034/jsmta.2020.1709
MLA
Naeimeh Dehqani; RahmatSadat Meshkat. "Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals", Journal of Statistical Modelling: Theory and Applications, 1, 2, 2020, 9-35. doi: 10.22034/jsmta.2020.1709
HARVARD
Dehqani, N., Meshkat, R. (2020). 'Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals', Journal of Statistical Modelling: Theory and Applications, 1(2), pp. 9-35. doi: 10.22034/jsmta.2020.1709
VANCOUVER
Dehqani, N., Meshkat, R. Recurrence relations for moments of progressively Type-II censored order statistics from a Pareto distribution with fixed and binomial removals. Journal of Statistical Modelling: Theory and Applications, 2020; 1(2): 9-35. doi: 10.22034/jsmta.2020.1709