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Single Acceptance Sampling Plan Based on Truncated Life Tests for Zubair-Exponential Distribution

Okechukwu J. Obulezi, Chinyere P. Igbokwe, Ifeanyi C. Anabike

2023Earthline Journal of Mathematical Sciences13 citationsDOIOpen Access PDF

Abstract

In this paper, a single acceptance sampling plan based on a truncated life test is proposed for a lifetime that follows the Zubair-Exponential (ZE) distribution. For some acceptance numbers, confidence levels, values of the ratio of the fixed experiment time to the particular mean lifetime, and the minimum sample sizes required to assert the specified mean life are obtained. The operating characteristic function values of the proposed sampling plans, consumer's and the producer's risk are presented. Other useful tables are presented and the results are discussed.

Topics & Concepts

Acceptance samplingExponential functionStatisticsExponential distributionTest planSampling (signal processing)MathematicsSample (material)Plan (archaeology)Sample size determinationFunction (biology)Acceptance testingDistribution (mathematics)Applied mathematicsMathematical optimizationComputer scienceMathematical analysisChromatographyGeologyWeibull distributionPaleontologyFilter (signal processing)Evolutionary biologySoftware engineeringComputer visionBiologyChemistryStatistical Distribution Estimation and ApplicationsOptimal Experimental Design MethodsReliability and Maintenance Optimization
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