Error in generating a normal distribution
Applications of Mathematics, Tome 12 (1967) no. 2, pp. 130-135
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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.
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.
DOI : 10.21136/AM.1967.103079
Classification : 94-10
Keywords: probability theory
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Šubert, Bruno. Error in generating a normal distribution. Applications of Mathematics, Tome 12 (1967) no. 2, pp. 130-135. doi: 10.21136/AM.1967.103079

[1] J. Havel: An Electronic Generator of Random Sequences. Transactions of the Second Prague Conference on Information Theory, Prague 1959. | MR

[2] 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. | MR

[3] M. Loève: Probability Theory. 3rd eddition, Van Nostrand, 1963. | MR

[4] 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.

[5] 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.

[6] B. M. Золотарев: Абсолютная оценка остаточного члена в центральной предельной теореме. Теория вероятностей и. ее применения, 11 (1966), 1, 108-119. | MR | Zbl

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