# Testing a tolerance hypothesis by means of an information distance

Aplikace matematiky (1990)

- Volume: 35, Issue: 6, page 458-470
- ISSN: 0862-7940

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topRublík, František. "Testing a tolerance hypothesis by means of an information distance." Aplikace matematiky 35.6 (1990): 458-470. <http://eudml.org/doc/15646>.

@article{Rublík1990,

abstract = {In the paper a test of the hypothesis $\mu +c \sigma \le M$, $\mu - c \sigma \ge m$ on parameters of the normal distribution is presented, and explicit formulas for critical regions are derived for finite sample sizes. Asymptotic null distribution of the test statistic is investigated under the assumption, that the true distribution possesses the fourth moment.},

author = {Rublík, František},

journal = {Aplikace matematiky},

keywords = {hypothesis testing; Fisher information matrix; concentration of the statistical population in prescribed tolerance limits; statistical quality control; normal distribution; explicit formulas for critical regions; finite sample sizes; fourth moment; Fisher information matrix; prescribed tolerance limits; quality control; normal distribution; explicit formulas for critical regions; finite sample sizes; asymptotic null distribution; fourth moment},

language = {eng},

number = {6},

pages = {458-470},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Testing a tolerance hypothesis by means of an information distance},

url = {http://eudml.org/doc/15646},

volume = {35},

year = {1990},

}

TY - JOUR

AU - Rublík, František

TI - Testing a tolerance hypothesis by means of an information distance

JO - Aplikace matematiky

PY - 1990

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 35

IS - 6

SP - 458

EP - 470

AB - In the paper a test of the hypothesis $\mu +c \sigma \le M$, $\mu - c \sigma \ge m$ on parameters of the normal distribution is presented, and explicit formulas for critical regions are derived for finite sample sizes. Asymptotic null distribution of the test statistic is investigated under the assumption, that the true distribution possesses the fourth moment.

LA - eng

KW - hypothesis testing; Fisher information matrix; concentration of the statistical population in prescribed tolerance limits; statistical quality control; normal distribution; explicit formulas for critical regions; finite sample sizes; fourth moment; Fisher information matrix; prescribed tolerance limits; quality control; normal distribution; explicit formulas for critical regions; finite sample sizes; asymptotic null distribution; fourth moment

UR - http://eudml.org/doc/15646

ER -

## References

top- J. Anděl, Matematická statistika, Praha, SNTL 1978. (1978)
- H. Cramér, Mathematical Methods of Statistics, Princeton University Press 1946. (1946) Zbl0063.01014MR0016588
- C. R. Rao, Linear Statistical Inference and Its Applications, (Czech translation). Praha, Academia 1978. (1978)
- F. Rublík, On testing hypotheses approximable by cones, Math. Slovaca 39 (1989), 199-213. (1989) Zbl0699.62057MR1018261
- F. Rublík, On the two-sided quality control, Apl. Mat. 27 (1982), 87-95. (1982) Zbl0491.62085MR0651047
- F. Rublík, Correction to the paper "On the two-sided quality control", Apl. Mat. 34 (1989), 425-428. (1989) MR1026506

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