LAPSE:2020.0085
Published Article
LAPSE:2020.0085
Empirical Bayes Prediction in a Sequential Sampling Plan Based on Loss Functions
Khanittha Tinochai, Katechan Jampachaisri, Yupaporn Areepong, Saowanit Sukparungsee
January 19, 2020
The application of empirical Bayes for lot inspection in sequential sampling plans is usually conducted to estimate the proportion of defective items in the lot rather than for hypothesis testing of the variables’ process mean. In this paper, we propose the use of empirical Bayes in a sequential sampling plan variables’ process mean testing under a squared error loss function and precautionary loss function, for which the prediction is performed to estimate a sequence of the mean when the data are normally distributed in the case of a known mean and unknown variance. The proposed plans are compared with the sequential sampling plan. The proposed techniques yielded smaller average sample number (ASN) and provided higher probability of acceptance (Pa) than the sequential sampling plan.
Keywords
empirical Bayes prediction, precautionary loss function, sequential sampling plan, squared error loss function
Suggested Citation
Tinochai K, Jampachaisri K, Areepong Y, Sukparungsee S. Empirical Bayes Prediction in a Sequential Sampling Plan Based on Loss Functions. (2020). LAPSE:2020.0085
Author Affiliations
Tinochai K: Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand [ORCID]
Jampachaisri K: Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Areepong Y: Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Sukparungsee S: Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand [ORCID]
Journal Name
Processes
Volume
7
Issue
12
Article Number
E944
Year
2019
Publication Date
2019-12-11
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr7120944, Publication Type: Journal Article
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LAPSE:2020.0085
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doi:10.3390/pr7120944
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Jan 19, 2020
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CC BY 4.0
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Jan 19, 2020
 
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Original Submitter
Calvin Tsay
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