On the study of the recurrence relations and characterizations based on progressive first-failure censoring

In this research, the progressive first-failure censored data (PFFC) from the Kumaraswamy modified inverse-Weibull distribution (KMIWD) were used to obtain the recurrence relations and characterizations for single and product moments. The recurrence relationships allow for a rapid and efficient asse...

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Bibliographic Details
Published in:	AIMS mathematics Vol. 9; no. 1; pp. 481 - 494
Main Authors:	Alsadat, Najwan, Abu-Moussa, Mahmoud, Sharawy, Ali
Format:	Journal Article
Language:	English
Published:	AIMS Press 2024
Subjects:	kmiwd product moments progressive first-failure censoring recurrence relations and characterizations single moments
Online Access:	Get full text
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Summary:	In this research, the progressive first-failure censored data (PFFC) from the Kumaraswamy modified inverse-Weibull distribution (KMIWD) were used to obtain the recurrence relations and characterizations for single and product moments. The recurrence relationships allow for a rapid and efficient assessment of the means, variances and covariances for any sample size. Additionally, the paper outcomes can be boiled down to the traditional progressive type-II censoring. Also, some special cases are limited to some lifetime distributions as the exponentiated modified inverse Weibull and Kumaraswamy inverse exponential.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2024026