Foundations
著者
書誌事項
Foundations
(Wiley series in probability and mathematical statistics, . Probability and mathematical statistics . Diffusions,
Wiley, c1994
2nd ed
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注記
Bibliography: p. [351]-373
Includes index
内容説明・目次
内容説明
This updated introduction to the field has been completely revised to include the latest research on probability. The textbook has also been restructured to improve its logical progression and ease of use.
目次
- Brownian Motion
- Introduction
- Basics About Brownian Motion
- Brownian Motion in Higher Dimensions
- Gaussian Processes and Levy Processes
- Some Classical Theory
- Basic Measure Theory
- Basic Probability Theory
- Stochastic Processes
- Discrete-Parameter Martingale Theory
- Continuous-Parameter Supermartingales
- Probability Measure on Lusin Spaces
- Markov Processes
- Transition Functions and Semigroups
- Feller-Dynkin Processes
- Additive Functionals
- Approach to Ray Processes: The Martin Boundary
- Ray Processes
- Applications.
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