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

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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 .)

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.

Suggested Citation

  • Saran Jagdish & Pushkarna Narinder & Sehgal Shikha, 2021. "Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference," Statistics in Transition New Series, Statistics Poland, vol. 22(4), pages 191-212, December.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:191-212:n:10
    DOI: 10.21307/stattrans-2021-045
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    References listed on IDEAS

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    1. Rita Aggarwala & N. Balakrishnan, 1996. "Recurrence relations for single and product moments of progressive Type-II right censored order statistics from exponential and truncated exponential distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 757-771, December.
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