Median ranked acceptance sampling plans for exponential distribution

We develop a ranked acceptance sampling plan by attribute for exponential distribution assuming that the life test is truncated at a pre-assigned time. Two main requirements are essential for the proposed ranked sampling plans; namely; the life times of the test units are assumed to follow the expon...

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Bibliographic Details
Published in:Afrika mathematica 2018-06, Vol.29 (3-4), p.477-497
Main Authors: Gogah, Fatima, Al-Nasser, Amjad D.
Format: Article
Language:English
Subjects:
Acceptance sampling
Applications of Mathematics
Distribution functions
History of Mathematical Sciences
Mathematical analysis
Mathematics
Mathematics and Statistics
Mathematics Education
Median (statistics)
Probability distribution functions
Random sampling
Random variables
Statistical analysis
Statistical methods
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Summary:We develop a ranked acceptance sampling plan by attribute for exponential distribution assuming that the life test is truncated at a pre-assigned time. Two main requirements are essential for the proposed ranked sampling plans; namely; the life times of the test units are assumed to follow the exponential distribution; and the data are selected by using a free cost sampling method, the median ranked set sampling scheme from a large lot. The main advantage of using the median rank set sampling is to reduce producer’s risk, and it is one of the ranked scheme that produces a judgment order statistics that are mutually independent and identically distributed random variables to meet the binomial theory assumptions. The distribution function characterization under the median ranked set sampling scheme is derived assuming that the set size is known; then the minimum sample size necessary to ensure the specified average life are obtained and the operating characteristic values of the sampling plans based on the ranked samples and producer’s risk are presented. A comparisons with sampling plan based on simple random sampling and an illustrative example are given.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-018-0555-7