Acceptance Sampling Based on the Inverse Rayleigh Distribution

Rosaiah K. and Kantam R. R. L.
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Rosaiah K.: Department of Statistics, Acharya Nagarjuna University, Nagarjunanagar - 522 510 (A.P.), India
Kantam R. R. L.: Department of Statistics, Acharya Nagarjuna University, Nagarjunanagar - 522 510 (A.P.), India

Stochastics and Quality Control, 2005, vol. 20, issue 2, 277-286

Abstract: The well known inverse Rayleigh distribution is considered as a model for a life time random variable. The problem of acceptance sampling when the life test is truncated at a pre-assigned time is discussed. For various acceptance numbers, various confidence levels and various values of the ratio of the fixed experimental time to the specified mean life, the minimum sample size necessary to assure a specified mean life time is worked out. The operating characteristic functions of the sampling plans are obtained. Producer's risk is also discussed. A table for the ratio of the true mean life to a specified mean life that ensures acceptance with a pre-assigned probability is provided. The results are illustrated by an example.

Keywords: Rayleigh distribution; Sampling plans; Truncated life tests (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (13)

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DOI: 10.1515/EQC.2005.277

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