Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic

Mahendra Saha, Harsh Tripathi (), Anju Devi and Pratibha Pareek
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Mahendra Saha: Central University of Rajasthan
Harsh Tripathi: MIT-ADT University
Anju Devi: Central University of Rajasthan
Pratibha Pareek: Central University of Rajasthan

Annals of Data Science, 2024, vol. 11, issue 5, No 10, 1687-1703

Abstract: Abstract In this article, a reliability test plan under time truncated life test is considered for the logistic Rayleigh distribution ( $$\mathcal {LRD}$$ LRD ). A brief discussion over statistical properties and significance of the $$\mathcal {LRD}$$ LRD is placed in this present study. Larger the value of median—better is the quality of the lot is considered as quality characteristic for the proposed reliability test plan. Minimum sample sizes are placed in tabular form for different set up of specified consumer’s risk. Also operating characteristics ( $$\mathcal{O}\mathcal{C}$$ O C ) values are shown in tabular forms for the chosen set up and discussed the pattern of $$\mathcal{O}\mathcal{C}$$ O C values. A comparative analysis of the present study with some other reliability test plans is discussed based on the sample sizes. As an illustration, the performance of the proposed plan for the $$\mathcal {LRD}$$ LRD is shown through real-life examples.

Keywords: Consumer’s risk; Group acceptance sampling inspection plan; Operating characteristic function; Producer’s risk; Truncated life test (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-023-00473-5

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