Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference

Saran Jagdish (), Pushkarna Narinder () and Sehgal Shikha ()
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Saran Jagdish: Department of Statistics, University of Delhi, Delhi, ; India .
Pushkarna Narinder: Department of Statistics, University of Delhi, Delhi, ; India .
Sehgal Shikha: Department of Statistics, University of Delhi, Delhi, ; India .

Statistics in Transition New Series, 2021, vol. 22, issue 4, 191-212

Abstract: In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes n and all censoring schemes (R1, R2,..., Rm), m ≥ n, in a simple recursive manner. The maximum likelihood approach is used for the estimation of the parameters and the reliability characteristic. A Monte Carlo simulation study has been conducted to compare the performance of the estimates for different censoring schemes.

Keywords: progressively Type-II right censored order statistics; single moments; product moments; recurrence relations; power Lomax distribution; maximum likelihood estimation; 62G30; 62G05 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:22:y:2021:i:4:p:191-212:n:10

DOI: 10.21307/stattrans-2021-045

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