A First Course in Probability and Markov Chains (eBook)

Giuseppe Modica, Laura Poggiolini (Autoren)

eBook Download: PDF

2012 | 1. Auflage
352 Seiten
Wiley (Verlag)
978-1-118-47780-9 (ISBN)

Infos

Provides an introduction to basic structures of probability with a view towards applications in information technology

A First Course in Probability and Markov Chains presents an introduction to the basic elements in probability and focuses on two main areas. The first part explores notions and structures in probability, including combinatorics, probability measures, probability distributions, conditional probability, inclusion-exclusion formulas, random variables, dispersion indexes, independent random variables as well as weak and strong laws of large numbers and central limit theorem. In the second part of the book, focus is given to Discrete Time Discrete Markov Chains which is addressed together with an introduction to Poisson processes and Continuous Time Discrete Markov Chains. This book also looks at making use of measure theory notations that unify all the presentation, in particular avoiding the separate treatment of continuous and discrete distributions.

A First Course in Probability and Markov Chains:

• Presents the basic elements of probability.
• Explores elementary probability with combinatorics, uniform probability, the inclusion-exclusion principle, independence and convergence of random variables.
• Features applications of Law of Large Numbers.
• Introduces Bernoulli and Poisson processes as well as discrete and continuous time Markov Chains with discrete states.
• Includes illustrations and examples throughout, along with solutions to problems featured in this book.

The authors present a unified and comprehensive overview of probability and Markov Chains aimed at educating engineers working with probability and statistics as well as advanced undergraduate students in sciences and engineering with a basic background in mathematical analysis and linear algebra.

Giuseppe Modica and Laura Poggiolini,
Dipartimento di Sistemi e Informatica, Università di Firenze, Italy

Rezensionen

"This is useful not only as review material to mathematics
students, but also to students in the engineering and information
sciences which may be curious about theoretically understanding the
material presented before." (Zentralblatt MATH, 1
August 2013)

Produkt-Details

• Erscheint lt. Verlag: 5.12.2012
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik
• Schlagworte: Applications • BASIC • Book • Chains • Course • discrete • Engineering statistics • Explores • First • first part • Independent • Information • Introduction • Markov • Markowsche Kette • Numbers • Part • Probability • Probability & Mathematical Statistics • Random • Second • Statistics • Statistik • Statistik in den Ingenieurwissenschaften • Structures • Technology • Time • towards • Variables • View • Wahrscheinlichkeitsrechnung • Wahrscheinlichkeitsrechnung u. mathematische Statistik
• ISBN-10: 1-118-47780-4 / 1118477804
• ISBN-13: 978-1-118-47780-9 / 9781118477809