Discrete Stochastics
Seiten
2003
Springer Berlin (Hersteller)
978-3-540-14913-2 (ISBN)
Springer Berlin (Hersteller)
978-3-540-14913-2 (ISBN)
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Discrete Stochastics describe the typical ways of thinking and the working methods of stochastics on an intermediate level. In producing this textbook the author was faced with the challenging fact that probability theory dealing with continuous occurrence spaces uses measure and integration theory to a high degree. This implies a considerable complication, which is hardly consistent, with the objective of an introduction. To get around this problem the author uses discrete occurrence space. The formulations and notations are kept in such a way that they can be extended in a straightforward way to the general theory. The text is accompanied by several exercises as well as solutions.
1. Basics.- 2. Combinatorics.- 3. Random Experiments and Relative Frequencies.- 4. Discrete Probability Spaces.- 5. Examples for Probability Measures.- 6. Conditional Probabilities.- 7. Probability Measures on Product Spaces.- 8. Random Variables and Distributions.- 9. Stochastic Independence Convolutions.- 10. Expectations.- 11. Variance and Covariance.- 12. The Chebyshev Inequality.
Übersetzer | P. Bäumle-Courth |
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Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 500 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
Schlagworte | discrete occurence spaces • measure theory • Probability Theory • Stochastik |
ISBN-10 | 3-540-14913-9 / 3540149139 |
ISBN-13 | 978-3-540-14913-2 / 9783540149132 |
Zustand | Neuware |
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