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Multiparameter Hypothesis Testing and Acceptance Sampling
Abstract
The quality of a product might be determined by several parameters, each of which must meet certain standards before the product is acceptable. In this article, a method of determining whether all the parameters meet their respective standards is proposed. The method consists of testing each parameter individually and deciding that the product is acceptable only if each parameter passes its test. This simple method has some optimal properties including attaining exactly a prespecified consumer's risk and uniformly minimizing the producer's risk. These results are obtained from more general hypothesis-testing results concerning null hypotheses consisting of the unions of sets.
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Citations
Cited by
(2011) · Econometrica · doi:10.3982/ecta5771 · Cited by 2,096
Microarray data analysis: from disarray to consolidation and consensus
Allison, D. B., Cui, X., Page, G. P., & Sabripour, M. (2006) · Nature Reviews Genetics · doi:10.1038/nrg1749 · Cited by 1,339
Rubin, M. (2021) · Synthese · doi:10.1007/s11229-021-03276-4 · Cited by 371
Confidence Distribution, the Frequentist Distribution Estimator of a Parameter: A Review
Xie, M., & Singh, K. (2013) · International Statistical Review · doi:10.1111/insr.12000 · Cited by 319
Simultaneous and selective inference: Current successes and future challenges
Benjamini, Y. (2010) · Biometrical Journal · doi:10.1002/bimj.200900299 · Cited by 169
Metadata
- Authors
- Berger, R. L.
- Venue
- Technometrics
- Publisher
- Taylor & Francis
- Published
- 1982-11-01
- Volume
- 24
- Issue
- 4
- Pages
- 295-300
- ISSN
- 0040-1706 (ISSN-L)
- OpenAlex
- W2093012377
- Cited by
- 289
- References
- 0
- FWCI
- 2.50
- Type
- journal article
- Language
- en
- Open access
- closed
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: Multiparameter Hypothesis Testing and Acceptance Sampling. https://app.cochat.ai/papers/10.1080/00401706.1982.10487790
- The paper
- Berger, R. L. (1982). Multiparameter Hypothesis Testing and Acceptance Sampling. Technometrics. https://doi.org/10.1080/00401706.1982.10487790
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
