000 01607nam a2200205 a 4500
020 _a9783540761754
020 _a3540761756
082 _a519.2
_bBRZ
100 _aBrzezniak, Zdzislaw
245 _aBasic Stochastic Processes
260 _aLondon:
_bSpringer-Verlag,
_c1999.
300 _ax, 225 pages :
_billustrations ;
490 _aSpringer undergraduate mathematics series.
500 _aIndex
505 _a 1. Review of probability -- 2. Conditional expectation -- 3. Martingles in discrete time -- 4. Martingale inequalities and convergence -- 5. Markov chains -- 6. Stochastic processes in continuous time -- 7. Ito Stocahstic calculus.
520 _a "This book is a final year undergraduate text on stochastic processes, a tool used widely by statisticians and researchers working, for example, in the mathematics of finance. The book will give a detailed treatment of conditional expectation and probability, a topic which is essential as a tool for stochastic processes. Although the book is a final year text, the authors have chosen to use exercises as the main means of explanation for the various topics, hence the course has a strong self-study element. The authors have concentrated on major topics within stochastic analysis: martingales in discrete time and their convergence, Markov chains, stochastic processes in continuous time, with emphasis on the Poisson process and Brownian motion, as well as Ito stochastic calculus including stochastic differential equations."--Jacket.
650 _aStochastic processes.
700 _aZastawniak, Thomaz
942 _cBK
999 _c38439
_d38439