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Research Article Open access CC BY 4.0

On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution

A. B. Zoramawa, S. U. Gulumbe

Asian Journal of Probability and Statistics · pp. 1–7 · Published 1 Oct 2021

10.9734/ajpas/2021/v15i130339

Abstract

This paper proposed a sequential probability sampling plan for a truncated life test using a Rayleigh distribution from  a designed double sampling plans where the interest was to obtain the minimum sample size necessary to assure that the average life time of a product is longer than the default life time at the specified consumer’s and producer’s confidence level. Estimations of minimum sample, acceptance and rejection numbers obtained are analyzed and presented to explain the usefulness of sequential plans in relation to single and double sampling plan. Probability of acceptance (Pa), Average sample number (ASN) and Average outgoing quality (AOQ) for the plans are computed. The three regions; acceptance, continue sampling and rejection were determined. The five points necessary to plot ASN curve were also computed and presented.

Average Sample Number (ASN) Acceptable Quality Level (AQL) consumer’s risk; producer’s risk Lot Tolerance Percent Defective (LTPD)

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