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portada Understanding Markov Chains. Examples and Applications
Formato
Libro Físico
Colección
Springer Undergraduate Mathematics Series
Año
2025
Encuadernación
Tapa Blanda
Dimensiones
23.5x15.5 cm
ISBN13
9789819540563

Understanding Markov Chains. Examples and Applications

Nicolas Privault (Autor) · Springer Verlag, Singapore · Tapa Blanda

Understanding Markov Chains. Examples and Applications - Nicolas Privault

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Reseña del libro "Understanding Markov Chains. Examples and Applications"

This book provides an undergraduate-level introduction to discrete and continuous-time Markov chains and their applications, with a particular focus on the first step analysis technique and its applications to the computation of average hitting times and ruin probabilities. It also discusses classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes. It starts by examining in detail two important examples (gambling processes and random walks) before presenting the general theory in the subsequent chapters. It also provides an introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times, together with a chapter on spatial Poisson processes. The concepts presented are illustrated by examples, 150 exercises and 22 problems with their solutions. This book is a revised and expanded version of the previous edition, and includes additional exercises and problems with complete solutions. As in the previous book, all exercises and problems are solved in detail, with many graphs and explanatory figures.

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