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Probability Theory and Mathematical Statistics

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Handbook of Mathematics
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Abstract

When experiments or observations are made, various outcomes are possible even under the same conditions. Probability theory and statistics deal with regularity of random outcomes of certain results with respect to given experiments or observations. (In probability theory and statistics, observations are also called experiments, since they have certain outcomes.) We suppose, at least theoretically, that these experiments can be repeated arbitrarily many times under the same circumstances; namely, these disciplines deal with the statistics of mass phenomena. The term stochastics is used for the mathematical handling of random phenomena.

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16. Probability Theory and Mathematical Statistics

  1. Berger, M., A.: An Introduction to Probability and Stochastic Processes. — Springer-Verlag 1993.

    Google Scholar 

  2. Behnen, K.; Neuhaus, G.: Grundkurs Stochastik. — B. G. Teubner 1995.

    Google Scholar 

  3. Brandt, S.: Data Analysis. Statistical and Computational Methods for Scientists and Engineers. — Springer-Verlag 1999.

    Google Scholar 

  4. Clauss, G.; Finze, F.-R.; Partzsch, L.: Statistik für Soziologen, Pädagogen, Psychologen und Mediziner, Bd. 1. — Verlag H. Deutsch 1995.

    Google Scholar 

  5. Fisz, M.: Wahrscheinlichkeitsrechnung und mathematische Statistik. — Deutscher Verlag der Wissenschaften 1988.

    Google Scholar 

  6. Gardiner, C.W.: Handbook of Stochastic Methods. — Springer-Verlag 1997.

    Google Scholar 

  7. Gnedenko, B.W.: Lehrbuch der Wahrscheinlichkeitstheorie. — Verlag H. Deutsch 1997.

    Google Scholar 

  8. Hübner, G.: Stochastik. — Eine anwendungsorientierte Einführung für Informatiker, Ingenieure und Mathematiker. — Vieweg, 3rd ed. 2000.

    Google Scholar 

  9. Koch, K.-R.: Parameter Estimation and Hypothesis Testing in Linear Models. — Springer-Verlag 1988.

    Google Scholar 

  10. Rinne, H.: Taschenbuch der Statistik. — Verlag H. Deutsch 1997.

    Google Scholar 

  11. Shao, Jun: Mathematical Statistics. — Springer-Verlag 1999.

    Google Scholar 

  12. Siniai, J.G.: Probability Theory. — Springer-Verlag 1992.

    Google Scholar 

  13. Sobol, I.M.: Die Monte-Carlo-Methode. — Verlag H. Deutsch 1991.

    Google Scholar 

  14. Storm, R.: Wahrscheinlichkeitsrechnung, mathematische Statistik und statistische Qualitatskontrolle. — Fachbuchverlag 1995.

    Google Scholar 

  15. Taylor, J.R.: An Introduction to Error Analysis. — University Science Books 1982, VCH 1988.

    Google Scholar 

  16. Terrell, G.R.: Mathematical Statistics. A Unified Introduction. — Springer-Verlag 1999.

    Google Scholar 

  17. Weber, H.: Einführung in die Wahrscheinlichkeitsrechnung und Statistik für Ingenieure. — B. G. Teubner 1992.

    Google Scholar 

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(2007). Probability Theory and Mathematical Statistics. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72122-2_16

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  • DOI: https://doi.org/10.1007/978-3-540-72122-2_16

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