Relations for Moments of Progressively Type-II Right Censored Order Statistics From Erlang-Truncated Exponential Distribution

Malik Mansoor Rashid () and Kumar Devendra ()
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Malik Mansoor Rashid: Department of Statistics, Amity University, Noida, India
Kumar Devendra: Department of Statistics, Central University of Haryana, Noida, India

Statistics in Transition New Series, 2017, vol. 18, issue 4, 651-668

Abstract: In this paper, we establish some new recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the Erlang-truncated exponential distribution. These relations generalize those established by Aggarwala and Balakrishnan (1996) for standard exponential distribution. These recurrence relations enable computation of mean, variances and covariances of all progressively Type-II right censored order statistics for all sample sizes in a simple and efficient manner. Further an algorithm is discussed which enable us to compute all the means, variances and covariances of Erlang-truncated exponential progressive Type-II right censored order statistics for all sample sizes n and all censoring schemes (R1, R2,…, Rm), m

Keywords: Censoring; progressive Type-II right censored order statistics; single moments; product moments; recurrence relations; Erlang-truncated exponential distribution (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:18:y:2017:i:4:p:651-668:n:5

DOI: 10.21307/stattrans-2017-005

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