Discrete Stochastics
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Bibliographic Information
Discrete Stochastics
Springer, c2003
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Includes bibliographical references and index
With a CD-ROM and an installation manual
Description and Table of Contents
Description
This electronic textbook is based on courses on probability theory developed by O.Moeschlin. The aim is to describe the typical ways of thinking and the working methods of stochastics on an intermediate level. One problem in this context is that probability theory dealing with continuous basic 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. The way out taken here is to use a discrete basic 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. This textbook comes on a fully linked CD-ROM together with fifteen so-called experiments, i.e. screen visualizations of complex notions and facts. To make reading easier the textbook is accompanied by a printed text.
Table of Contents
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.
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