DEVELOPING SINGLE-ACCEPTANCE SAMPLING PLANS BASED ON A TRUNCATED LIFETIME TEST FOR AN ISHITA DISTRIBUTION

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Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability

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VOLUME 19 , ISSUE 3 (September 2018) > List of articles

DEVELOPING SINGLE-ACCEPTANCE SAMPLING PLANS BASED ON A TRUNCATED LIFETIME TEST FOR AN ISHITA DISTRIBUTION

Amjad D. Al-Nasser / Amer I. Al-Omari / Ahmed Bani-Mustafa / Khalifa Jaber

Keywords : acceptance sampling plans, Ishita distribution, producers risk, consumers risk, operating characteristics, truncated lifetime, distribution test

Citation Information : Statistics in Transition New Series. Volume 19, Issue 3, Pages 393-406, DOI: https://doi.org/10.21307/stattrans-2018-022

License : (BY-NC-ND 4.0)

Published Online: 13-December-2018

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ABSTRACT

Acceptance sampling plans are statistical procedures that are used for quality control and improvement in cases where it is not possible to test every item in a lot of materials. The outcome of this test determines whether the entire lot is accepted or rejected based on a random sample. In this procedure, an important characteristic of the materials is their lifetime sampling distribution, and this can vary from sample to sample. In this article, a new lifetime distribution, known as an Ishita distribution, is considered for developing a new single-acceptance sampling plan. The new acceptance sampling plan is developed under a condition wherein the mean lifetime test is truncated within a pre-specified time period. Based on this condition, the parameters of the acceptance sampling plan including the operating characteristics function and the minimum sample size are obtained. The producer's risk in relation to the entire lot of materials is derived and illustrated by numerical examples.

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REFERENCES

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