Probability Theory and Statistical Applications : : A Profound Treatise for Self-Study / / Peter Zörnig.

• Superior document: Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016
• VerfasserIn: Zörnig, Peter,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2016]; ©2016
• Year of Publication: 2016
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (IX, 284 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1. Mathematics revision --; 2. Introduction to probability --; 3. Finite sample spaces --; 4. Conditional probability and independence --; 5. One-dimensional random variables --; 6. Functions of random variables --; 7. Bi-dimensional random variables --; 8. Characteristics of random variables --; 9. Discrete probability models --; 10. Continuous probability models --; 11. Generating functions in probability --; 12. Sums of many random variables --; 13. Samples and sampling distributions --; 14. Estimation of parameters --; 15. Hypothesis tests --; Appendix --; References --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110402711; 9783110701005; 9783110485103; 9783110485288
• DOI: 10.1515/9783110402711
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Peter Zörnig.

This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. Contents:Mathematics revisionIntroduction to probabilityFinite sample spacesConditional probability and independenceOne-dimensional random variablesFunctions of random variablesBi-dimensional random variablesCharacteristics of random variablesDiscrete probability modelsContinuous probability modelsGenerating functions in probabilitySums of many random variablesSamples and sampling distributionsEstimation of parametersHypothesis tests