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基本説明
Fluent, lucid exposition aimed at undergraduates and graduates in mathematics and statistics.
Full Description
Stochastic Processes and Models provides a concise and lucid introduction to simple stochastic processes and models. Including numerous exercises, problems and solutions, it covers the key concepts and tools, in particular: random walks, renewals, Markov chains, martingales, the Wiener process model for Brownian motion, and diffusion processes, concluding with a brief account of the stochastic integral and stochastic differential equations as they arise in option-pricing. The text has been thoroughly class-tested and is ideal for an undergraduate second course in probability.
Contents
Probability and Random Variables ; Introduction to Stochastic Processes ; Markov Chains ; Markov Chains in Continuous Time ; Diffusions ; Hints and solutions to selected exercises