TY  - BOOK
AU  - Privault,Nicolas
TI  - Understanding Markov chains: examples and applications
T2  - Springer Undergraduate Mathematics Series,
SN  - 9789811306587 (pbk.)
U1  - 519.2 PRI 
PY  - 2018///
CY  - Singapore
PB  - Springer
KW  - Probabilities
KW  - Statistics
KW  - Probability Theory and Stochastic Processes
KW  - Statistical Theory and Methods
KW  - Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
N1  - Euro 34.99
AT/3010236/186
N2  - 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 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 first examines in detail two important examples (gambling processes and random walks) before presenting the general theory itself 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, 138 exercises and 9 problems with their solutions
ER  -