Academic Journal
On the study of the recurrence relations and characterizations based on progressive first-failure censoring
| Title: | On the study of the recurrence relations and characterizations based on progressive first-failure censoring |
|---|---|
| Authors: | Najwan Alsadat, Mahmoud H. Abu‐Moussa, Ali Sharawy |
| Source: | AIMS Mathematics, Vol 9, Iss 1, Pp 481-494 (2024) |
| Publisher Information: | American Institute of Mathematical Sciences (AIMS), 2024. |
| Publication Year: | 2024 |
| Subject Terms: | Statistics and Probability, product moments, Social Sciences, Geometry, 02 engineering and technology, Sample size determination, 01 natural sciences, Mathematical analysis, Decision Sciences, Engineering, Skew Distributions and Applications in Statistics, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 0101 mathematics, Safety, Risk, Reliability and Quality, Exponentiated Weibull distribution, Censoring (clinical trials), Statistics, Exponential function, single moments, Recurrence relation, Applied mathematics, kmiwd, Reliability Engineering and Maintenance Optimization, Combinatorics, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Exponential distribution, recurrence relations and characterizations, progressive first-failure censoring, Weibull distribution, Reliability Analysis, Statistics, Probability and Uncertainty, Inverse, Mathematics |
| Description: | 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. |
| Document Type: | Article Other literature type |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2024026 |
| DOI: | 10.60692/qw5bd-fg376 |
| DOI: | 10.60692/0pe05-xet11 |
| Access URL: | https://doaj.org/article/7b161b7157ce4d9ebb61196e922535d8 |
| Accession Number: | edsair.doi.dedup.....7ed47d788d7cd725b2e39f242ea6fd8f |
| Database: | OpenAIRE |
| ISSN: | 24736988 |
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| DOI: | 10.3934/math.2024026 |