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Erscheinungsjahr: 
2021
Quellenangabe: 
[Journal:] Statistics in Transition New Series [ISSN:] 2450-0291 [Volume:] 22 [Issue:] 4 [Publisher:] Exeley [Place:] New York [Year:] 2021 [Pages:] 191-212
Verlag: 
Exeley, New York
Zusammenfassung: 
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), 𝑚È𝑛, 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.
Schlagwörter: 
progressively Type-II right censored order statistics
single moments
product moments
recurrence relations
power Lomax distribution
maximum likelihood estimation
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