@article{Alsadat2024, 
author = {Najwan Alsadat and Mahmoud Abu-Moussa and Ali Sharawy},
title = {On the study of the recurrence relations and characterizations based on progressive first-failure censoring},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {481-494},
keywords = {KMIWD, progressive first-failure censoring, product moments, recurrence relations and characterizations, single moments},
url = {https://www.sciopen.com/article/10.3934/math.2024026},
doi = {10.3934/math.2024026},
abstract = {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.}
}