# Error in generating a normal distribution

Aplikace matematiky (1967)

- Volume: 12, Issue: 2, page 130-135
- ISSN: 0862-7940

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topŠubert, Bruno. "Error in generating a normal distribution." Aplikace matematiky 12.2 (1967): 130-135. <http://eudml.org/doc/14462>.

@article{Šubert1967,

abstract = {In this paper an estimate for the maximum difference of onedimensional distribution function of a random process and the normal distribution function is given. The process is supposed to be obtained by a passage of a sequence of pulses with random polarity through a linear filter. In two special cases the influence of the impulse-response function of the filter on the difference is studied.},

author = {Šubert, Bruno},

journal = {Aplikace matematiky},

keywords = {probability theory},

language = {eng},

number = {2},

pages = {130-135},

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

title = {Error in generating a normal distribution},

url = {http://eudml.org/doc/14462},

volume = {12},

year = {1967},

}

TY - JOUR

AU - Šubert, Bruno

TI - Error in generating a normal distribution

JO - Aplikace matematiky

PY - 1967

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

VL - 12

IS - 2

SP - 130

EP - 135

AB - In this paper an estimate for the maximum difference of onedimensional distribution function of a random process and the normal distribution function is given. The process is supposed to be obtained by a passage of a sequence of pulses with random polarity through a linear filter. In two special cases the influence of the impulse-response function of the filter on the difference is studied.

LA - eng

KW - probability theory

UR - http://eudml.org/doc/14462

ER -

## References

top- J. Havel, An Electronic Generator of Random Sequences, Transactions of the Second Prague Conference on Information Theory, Prague 1959. (1959) MR0134431
- K. Janáč, Determination of Correlation Function on the Output of a Generator of Continuous Random Process, (in Czech), Aplikace Matematiky, vol. 6 (1961), No. 1. (1961) MR0120755
- M. Loève, Probability Theory, 3rd eddition, Van Nostrand, 1963. (1963) MR0203748
- C. Pantelopulos, Processus Aléatoires Asymptotiquement Stationnaires Laplaciens Produits par Filtrage d'une Suite Périodique d'Impulsions Aléatoires, Transactions of the Second Prague Conference on Information Theory, Prague 1959. (1959)
- B. Šubert, Stochastic Properties of a Random Binary Sequence on the Output of a Linear Filter, (in Czech), Research Memorandum No. 145 (1966), Institute of Information Theory and Automation, Czechoslovak Academy of Sciences. (1966)
- B. M. Золотарев, Абсолютная оценка остаточного члена в центральной предельной теореме, Теория вероятностей и. ее применения, 11 (1966), 1, 108-119. (1966) Zbl1155.78304MR0198531

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