TY - BOOK AU - Borovkov,Konstantin TI - Elements of stochastic modelling SN - 9789814571159 (hardcover) U1 - 519.23 23 PY - 2014/// CY - Singapore : PB - World Scientific KW - Stochastic processes KW - Mathematical models KW - Computer simulation N1 - Includes bibliographical references and index; 1. Introduction -- 2. Basics of probability theory -- 3. Markov chains -- 4. Markov decision processes -- 5. The exponential distribution and poisson process -- 6. Jump Markov processes -- 7. Elements of queueing theory -- 8. Elements of renewal theroy -- 9. Elements of time series -- 10. Elements of simulation -- 11. Martingales and stochastic calculus -- 12. Diffusion processes -- 13. Elements of mathematical finance N2 - This is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. ER -