1.

Record Nr.

UNINA9910155412303321

Autore

Linde Werner

Titolo

Probability Theory : A First Course in Probability Theory and Statistics / / Werner Linde

Pubbl/distr/stampa

Berlin ; ; Boston : , : De Gruyter, , [2016]

©2016

ISBN

3-11-046617-1

Edizione

[1st ed.]

Descrizione fisica

1 online resource (410 pages) : illustrations

Collana

De Gruyter Textbook

Altri autori (Persone)

LindeWerner <1947- Stochastik für das Lehramt.>

Disciplina

519.2

519.2000000000

Soggetti

Probabilities

Mathematical statistics

Measure theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Preface -- Contents -- 1. Probabilities -- 2. Conditional Probabilities and Independence -- 3. Random Variables and Their Distribution -- 4. Operations on Random Variables -- 5. Expected Value, Variance, and Covariance -- 6. Normally Distributed Random Vectors -- 7. Limit Theorems -- 8. Mathematical Statistics -- A Appendix -- Bibliography -- Index

Sommario/riassunto

This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author's 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents:ProbabilitiesConditional Probabilities and IndependenceRandom Variables and Their DistributionOperations on Random VariablesExpected Value, Variance, and CovarianceNormally



Distributed Random VectorsLimit TheoremsMathematical StatisticsAppendixBibliographyIndex