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

Jagdish Saran; Narinder Pushkarna; Shikha Sehgal

doi:10.21307/stattrans-2021-045

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

Jagdish Saran Department of Statistics, University of Delhi, India , Narinder Pushkarna Department of Statistics, University of Delhi, India , Shikha Sehgal Department of Statistics, University of Delhi, India ORCID:https://orcid.org/0000-0002-2333-9264 Statistics in Transition new series, vol. 22, 2021, 4, pages: 191-212 Published online: 8 December 2021 DOI 10.21307/stattrans-2021-045

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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 ?? and all censoring schemes (R₁, R₂, ..., R_m) 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.

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