Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Dieses Lehrbuch bietet eine umfassende moderne Einführung in die wichtigsten Gebiete der Wahrscheinlichkeitstheorie und ihre maßtheoretischen Grundlagen. Themenschwerpunkte sind: Maß- und Integrationstheorie, Grenzwertsätze für Summen von Zufallsvariablen (Gesetze der Großen Zahl, Zentraler Grenzwertsatz, Ergodensätze, Gesetz vom iterierten Logarithmus, Invarianzprinzipien, unbegrenzt teilbare Verteilungen), Martingale, Perkolation, Markovketten und elektrische Netzwerke, Konstruktion stochastischer Prozesse, Poisson'scher Punktprozess, Brown'sche Bewegung, stochastisches Integral und stochastische Differentialgleichungen. Mehr als 200 Übungsaufgaben und zahlreiche Abbildungen runden die Darstellung ab. Breite und Auswahl der Themen sind einmalig in der deutschsprachigen Literatur.

Probabilities. --- Probability Theory and Stochastic Processes.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This textbook provides a compact yet accessibly written introduction to probability theory. Stochastic processes, martingales and application examples are dealt with alongside the basics. The necessary foundations of measure theory and metric spaces is provided. This text can be used as a first-class and motivating basis for a challenging three-semester introductory course on probability theory.

Probabilities. --- Mathematics. --- Distribution (Probability theory) --- Ito Formula. --- Martingale. --- Probability Theory. --- Random Variable. --- Stochastic Integral.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Probability theory --- Environmental protection. Environmental technology --- Engineering sciences. Technology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Dieses Teubner-Lehrbuch schildert in leicht verständlicher Form und mit vielen nachrechenbaren Beispielen, wie man Datenmengen mit dem PC erfassen, verwalten, aufbereiten, auswerten und attraktiv präsentieren kann. Dafür wird das allseits vorhandene und beliebte Office-Programm Excel verwendet. Das Buch setzt nur geringe Grundkenntnisse beim Leser voraus; der Umgang mit zentralen Excel-Funktionen wird ausführlich erklärt.

Statistics . --- Probabilities. --- Statistics, general. --- Probability Theory and Stochastic Processes.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

"40 Puzzles and Problems in Probability and Mathematical Statistics" is intended to teach the reader to think probabilistically by solving challenging, non-standard probability problems. The motivation for this clearly written collection lies in the belief that challenging problems help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts. The selected problems fall into two broad categories. Problems related to probability theory come first, followed by problems related to the application of probability to the field of mathematical statistics. All problems seek to convey a non-standard aspect or an approach which is not immediately obvious. The word puzzles in the title refers to questions in which some qualitative, non-technical insight is most important. Ideally, puzzles can teach a productive new way of framing or representing a given situation. Although the border between the two is not always clearly defined, problems tend to require a more systematic application of formal tools, and to stress more technical aspects. Thus, a major aim of the present collection is to bridge the gap between introductory texts and rigorous state-of-the-art books. Anyone with a basic knowledge of probability, calculus and statistics will benefit from this book; however, many of the problems collected require little more than elementary probability and straight logical reasoning. To assist anyone using this book for self-study, the author has included very detailed step-for-step solutions of all problems and also short hints which point the reader in the appropriate direction.

Probabilities. --- Mathematical statistics. --- Probabilities --- Mathematical statistics --- Mathematics. --- Probability Theory and Stochastic Processes. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Risk --- Math --- Science --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Statistical methods --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions