×

Likelihood ratio tests for interval hypotheses with applications. (English) Zbl 1329.62267

Summary: In this article, we derive the likelihood ratio tests (LRTs) for simultaneously testing interval hypotheses for normal means with known and unknown variances, and also with unknown but equal variance. Special cases when the interval hypotheses boil down to a point hypothesis are also discussed. Remarks regarding comparison of the LRT with tests based on combination of \(p\)-values are made, and several applications based on real data are mentioned.

MSC:

62H15 Hypothesis testing in multivariate analysis
62F03 Parametric hypothesis testing
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Billingsley P., Probability and Meansure (1986)
[2] DOI: 10.1002/9780470386347 · Zbl 1258.62099 · doi:10.1002/9780470386347
[3] Krishnamoorthy K., J. Qual. Technol. 27 pp 132– (1995)
[4] DOI: 10.1007/978-1-4757-1923-9 · doi:10.1007/978-1-4757-1923-9
[5] Mathew T., Int. J. Statist. Sci. 11 pp 207– (2011)
[6] Mee R.W., J. Qual. Technol. 19 pp 75– (1987)
[7] Park, J., Sinha, B., Shah, A., Xu, D., Lin, J. (2011). Likelihood ratio tests for interval hypotheses with applications. Technical report, Dept. of Mathematics and Statistics, University of Maryland Baltimore County. · Zbl 1329.62267
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.