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Book Description
This book is a final year undergraduate text on stochastic processes， a tool used widely by statisticians and researchers working in the mathematics of finance. The book will give a detailed treatment of conditional expectation and probability， a topic which in principle belongs to probability theory， but is essential as a tool for stochastic processes. Although the book is a final year text， the author has chosen to use exercises as the main means of explanation for the various topics， and the book will have a strong self-study element. The author has concentrated on the major topics within stochastic analysis: Stochastic Processes， Markov Chains， Spectral Theory， Renewal Theory， Martingales and Itô Stochastic Processes.