journal article·2024-01-01Open access

Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients

Rehab Alsultan

AIP Advances· Volume 14· Issue 1

Abstract

This study examines group acceptance sampling plans for many items evaluated together, with the product lifetime following the extended odd Weibull exponential (EOWEx) distribution. Significant design parameters are derived when the consumer risk and the test termination period have been established. Different quality levels are used to define the values of the operational characteristic function. The minimum ratios of the specified average life to the real average life are also computed at the risk of the designated producer. The results of this study provide a foundation for future research on a wide variety of situations at the micro-quality level, where the items follow varied probability distributions under the extended odd Weibull exponential scheme. The mortality rate of COVID-19 patients in the UK is used to display the group acceptance sampling plan for the EOWEx distribution. The performance of the presented sampling plan is compared to the ordinary sampling plan when the quality of the product follows the EOWEx distribution.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Statistical Distribution Estimation and Applications · Statistical Methods and Bayesian Inference · Probability and Risk Models

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematical Science, Faculty of Applied Science, Umm AL-Qura University , Makkah 24382, Saudi Arabia

References (30)

Show source-provided references
1. A review of statistical methods for quality improvement and control in nanotechnology10.1080/00224065.2009.11917770 ↗
2. A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh and log-logistic distributions
3. Developing single-acceptance sampling plans based on a truncated lifetime test for an Ishita distribution10.21307/stattrans-2018-022 ↗
4. Montgomery · 2020
5. A group acceptance sampling plans based on truncated life tests for Marshall–Olkin extended Lomax distribution10.1285/i20705948v3n1p18 ↗
6. Gamma distribution in acceptance sampling based on life tests10.1080/01621459.1961.10482137 ↗
7. Group acceptance sampling plans using weighted binomial on truncated life tests for inverse Rayleigh and log–logistic distributions10.9790/5728-0233338 ↗
8. A group acceptance sampling plan for truncated life test having Weibull distribution10.1080/02664760802566788 ↗
9. Optimal design of multiple dependent state repetitive group sampling plan for inverse power Lomax distribution10.15672/hujms.875794 ↗
10. Group acceptance sampling plans for life tests based on exponentiated inverted Weibull distribution
11. The odd generalized exponential log-logistic distribution group acceptance sampling plan10.21307/stattrans-2019-006 ↗
12. A hybrid economic group acceptance sampling plan for exponential lifetime distribution10.1515/EQC.2011.016 ↗
13. Group acceptance sampling plan using Marshall–Olkin Kumaraswamy exponential (MOKw-E) distribution10.3390/pr9061066 ↗
14. Group acceptance sampling plan application for vinyl chloride data using generalized inverted Kumaraswamy distribution10.17654/0972361722027 ↗
15. Two-stage group acceptance sampling plan for burr type X percentiles10.1520/jte20120209 ↗
16. A group acceptance sampling plan for ‘another generalized transmuted-exponential distribution’ based on truncated lifetimes10.1002/qre.3246 ↗
17. A group acceptance sampling plan truncated life test for alpha power transformation inverted perks distribution based on quality control reliability10.1080/23311916.2023.2224137 ↗
18. The Kumaraswamy transmuted-G family of distributions: Properties and applications10.6339/jds.201604_14(2).0004 ↗
19. Exponentiated exponential family: An alternative to gamma and Weibull distributions10.1002/1521-4036(200102)43:1<117::aid-bimj117>3.0.co;2-r ↗
20. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families10.1093/biomet/84.3.641 ↗
21. The extended exponential distribution and its applications10.2991/jsta.2018.17.2.3 ↗
22. The modified exponential distribution with applications
23. The transmuted transmuted-G family: Properties and applications10.22436/jnsa.012.04.03 ↗
24. The odd log-logistic Lindley-G family of distributions: Properties, Bayesian and non-Bayesian estimation with applications10.1007/s00180-019-00932-9 ↗
25. The Harris extended exponential distribution10.1080/03610926.2013.851221 ↗
26. The Marshall–Olkin alpha power family of distributions with applications10.1016/j.cam.2018.10.052 ↗
27. A new three-parameter exponential distribution with variable shapes for the hazard rate: Estimation and applications10.3390/math8010135 ↗
28. The extended odd Weibull-G family: Properties and applications10.31801/cfsuasmas.443699 ↗
29. On the odd perks exponential model: An application to quality control data10.1155/2022/5502216 ↗
30. A new extension exponential distribution with applications of Covid-19 data10.21608/jsst.2021.51484.1178 ↗