Abstract
The abstract measure — theoretical development of probability theory during the last three decades, initiated by Kolmogorov [1], [2] is, for applications to physical problems, neither necessary nor even desirable. Therefore, no use is made of it in the following brief summary of basic definitions and formulas of probability theory.
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Literature
A.N. Kolmogorov: Ueber die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Math. Ann. 104 (1931),p. 415.
A.N. Kolmogorov: Grundbegriffe der Wahrscheinlich keitsrechnung. Ergeb. Math. und ihrer Grenzgeb. Bd. 2, No. 3, 1933.
R. von Mises: Wahrscheinlichkeitsrechnung. Deuticke. Wien 1931.
A. Papoulis: Probability, Random Variables and Stochastic Processes. McGraw-Hill Book Comp. New York 1965.
E. Parzen: Modern Probability Theory and its Applications. Wiley. New York 1960.
E. Parzen: Stochastic Processes. Holden-Day. San Francisco 1962.
J. Heinhold und K.-W. Gaede: Ingenieur-Statistik. Oldenbourg-Verlag. München-Wien 1964.
A.A. Sweschnikow: Untersuchungsmethoden der Theorie der Zufallsfunktionen. Teubner. Leipzig 1965.
W. Eberl: Einführung in die Stochastik. I. Teil, Wahrscheinlichkeitstheorie. Wiener Schwachstromwerke, Wien 1965.
M.F.M. Osborne: Reply to comments on Brownian motion in the stock market. Oper. Research 7 (1959), 807–811.
E. Wax (editor): Selected Papers on Noise and Stochastic Processes. Dover Publications. New York 1954.
A.H. Gray and T.K. Caughey: A controversy in prob lems involving random parametric excitation. J. Math. Phys. 44 (1965), 288.
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© 1969 Springer-Verlag Wien
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Parkus, H. (1969). Elements of Probability Theory. In: Random Processes in Mechanical Sciences. International Centre for Mechanical Sciences, vol 9. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2722-3_1
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DOI: https://doi.org/10.1007/978-3-7091-2722-3_1
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