LAPSE:2023.5789
Published Article
LAPSE:2023.5789
Group Acceptance Sampling Plan Using Marshall−Olkin Kumaraswamy Exponential (MOKw-E) Distribution
Abdullah M. Almarashi, Khushnoor Khan, Christophe Chesneau, Farrukh Jamal
February 23, 2023
Abstract
The current research concerns the group acceptance sampling plan in the case where (i) the lifetime of the items follows the Marshall−Olkin Kumaraswamy exponential distribution (MOKw-E) and (ii) a large number of items, considered as a group, can be tested at the same time. When the consumer’s risk and the test terminsation period are defined, the key design parameters are extracted. The values of the operating characteristic function are determined for different quality levels. At the specified producer’s risk, the minimum ratios of the true average life to the specified average life are also calculated. The results of the present study will set the platform for future research on various nano quality level topics when the items follow different probability distributions under the Marshall−Olkin Kumaraswamy scheme. Real-world data are used to explain the technique.
Keywords
consumer’s risk, group acceptance plan, Marshall–Olkin Kumaraswamy
Suggested Citation
Almarashi AM, Khan K, Chesneau C, Jamal F. Group Acceptance Sampling Plan Using Marshall−Olkin Kumaraswamy Exponential (MOKw-E) Distribution. (2023). LAPSE:2023.5789
Author Affiliations
Almarashi AM: Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia [ORCID]
Khan K: Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Chesneau C: Department of Mathematics, Université de Caen, LMNO, Campus II, Science 3, 14032 Caen, France
Jamal F: Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan
Journal Name
Processes
Volume
9
Issue
6
First Page
1066
Year
2021
Publication Date
2021-06-18
ISSN
2227-9717
Version Comments
Original Submission
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PII: pr9061066, Publication Type: Journal Article
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LAPSE:2023.5789
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https://doi.org/10.3390/pr9061066
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