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

سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 106

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شناسه ملی سند علمی:

JR_JSMTA-1-2_002

تاریخ نمایه سازی: 19 اردیبهشت 1401

چکیده مقاله:

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.

کلیدواژه ها:

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

نویسندگان

Naeimeh Dehqani

Department of Statistics, Yazd University, ۸۹۱۷۵-۷۴۱, Yazd, Iran

RahmatSadat Meshkat

Department of Statistics, Yazd University, ۸۹۱۷۵-۷۴۱, Yazd, IRAN