On the study of the recurrence relations and characterizations based on progressive first-failure censoring-Reference-Cited by-同舟云学术

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

Published:2024 Issue:1 Volume:9 Page:481-494
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alsadat Najwan¹,Abu-Moussa Mahmoud²³,Sharawy Ali⁴

Affiliation:

1. Department of Quantitative Analysis, College of Business Administration, King Saud University, P. O. Box 71115, Riyadh 11587, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt

3. Department of Mathematics, Faculty of Science, Galala University, Galala, Suez 43511, Egypt

4. Faculty of Engineering, Egyptian Russian University, Badr 11829, Egypt

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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