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

• Authors: Jagdish Saran , Narinder Pushkarna , Shikha Sehgal

Abstracts

EN

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, ..., 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

EN

progressively Type-II right censored order statistics; single moments; product moments; recurrence relations; power Lomax distribution; maximum likelihood estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2021
• Volume: 22
• Issue: 4
• Pages: 191-212

Contributors

author

Jagdish Saran

• Department of Statistics, University of Delhi, India

author

Narinder Pushkarna

• Department of Statistics, University of Delhi, India

author

Shikha Sehgal

• Department of Statistics, University of Delhi, India

• https://orcid.org/0000000223339264

Identifiers

DOI

10.21307/stattrans-2021-045

Biblioteka Nauki

1917117