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

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: De Gruyter eBook-Paket Mathematik | De Gruyter Textbook | De Gruyter GraduatePublisher: Berlin ; Boston : De Gruyter, [2016]Copyright date: ©2016Description: 1 Online-Ressource (IX, 284 Seiten)ISBN:
  • 9783110402711
  • 9783110402834
Subject(s): Additional physical formats: 9783110363197 | Erscheint auch als: Probability theory and statistical applications. Druck-Ausgabe Berlin : De Gruyter, 2016. IX, 284 SeitenDDC classification:
  • 510
MSC: MSC: *60-01 | 00A06RVK: RVK: QH 170 | QH 230 | QH 231 | SK 800Local classification: Lokale Notation: math 8.200DOI: DOI: 10.1515/9783110402711Online resources:
Contents:
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
Summary: 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. From the content: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 testsPPN: PPN: 866216472Package identifier: Produktsigel: EBA-BACKALL | EBA-CL-MTPY | EBA-DGALL | EBA-EBACKALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-23-DGG-HSU | GBV-deGruyter-alles | ZDB-23-DGG | ZDB-23-DMA | BSZ-23-DGG-Sachsen | ZDB-23-23
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