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AIMS Mathematics

2024, Volume 9, Issue 1: 481-494. doi: 10.3934/math.2024026
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Research article

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

  • 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
  • Received: 22 August 2023 Revised: 18 November 2023 Accepted: 23 November 2023 Published: 30 November 2023

  • MSC : 62E10, 62N99

  • 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.

    Citation: Najwan Alsadat, Mahmoud Abu-Moussa, Ali Sharawy. On the study of the recurrence relations and characterizations based on progressive first-failure censoring[J]. AIMS Mathematics, 2024, 9(1): 481-494. doi: 10.3934/math.2024026

    Related Papers:

  • 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.


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