From elementary probability to stochastic differential equations with Maple
著者
書誌事項
From elementary probability to stochastic differential equations with Maple
(Universitext)
Springer, c2002
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注記
Bibliography: p. [305]-306
Includes index
内容説明・目次
内容説明
This is an introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. Based on measure theory, which is introduced as smoothly as possible, it provides practical skills in the use of MAPLE in the context of probability and its applications. It offers to graduates and advanced undergraduates an overview and intuitive background for more advanced studies.
目次
1 Probability Basics.- 2 Measure and Integral.- 3 Random Variables and Distributions.- 4 Parameters of Probability Distributions.- 5 A Tour of Important Distributions.- 6 Numerical Simulations and Statistical Inference.- 7 Stochastic Processes.- 8 Stochastic Calculus.- 9 Stochastic Differential Equations.- 10 Numerical Methods for SDEs.- Bibliographical Notes.- References.
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