zbMATH — the first resource for mathematics

Testing a tolerance hypothesis by means of an information distance. (English) Zbl 0727.62027
Summary: A test of hypothesis \(\mu +c\sigma \leq M\), \(\mu\)-c\(\sigma\geq m\) on parameters of the normal distribution is presented, and explicit formulas for critical regions are derived for finite sample sizes. The asymptotic null distribution of the test statistic is investigated under the assumption, that the true distribution possesses the fourth moment.

62F03 Parametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
Full Text: EuDML
[1] J. Anděl: Matematická statistika. Praha, SNTL 1978.
[2] H. Cramér: Mathematical Methods of Statistics. Princeton University Press 1946. · Zbl 0063.01014
[3] C. R. Rao: Linear Statistical Inference and Its Applications. (Czech translation). Praha, Academia 1978.
[4] F. Rublík: On testing hypotheses approximable by cones. Math. Slovaca 39 (1989), 199-213. · Zbl 0699.62057 · eudml:32013
[5] F. Rublík: On the two-sided quality control. Apl. Mat. 27 (1982), 87-95.
[6] F. Rublík: Correction to the paper ”On the two-sided quality control”. Apl. Mat. 34 (1989), 425-428. · Zbl 0689.62081 · eudml:15597
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.