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

Document Type : Original Scientific Paper

Authors

1 Department of Statistics, Yazd University, 89175-741, Yazd, Iran

2 Department of Statistics, Yazd University, 89175-741, Yazd, IRAN

Abstract

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.

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History

  • Receive Date: 27 August 2018
  • Revise Date: 01 September 2018
  • Accept Date: 16 September 2018

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