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Part I. Numerical Methods
1. Preliminaries
2. Solving a System of Linear Equations
3. Solving Non-Linear Equations
4. Numerical Integration
5. Numerical Differentiation
6. Numerical Methods for PDE
7. Optimization
Part II. Simulation Methods
8. Monte-Carlo Methods
9. Lattice Models
10. Simulating Brownian Motion
11. Variance Reduction
12. Bayesian Computation with Stan
13. Resampling
Part III. Statistical Methods
14. Descriptive Methods
15. Inferential Statistics
16. Statistical Risk Analysis
17. Multivariate Analysis
18. Univariate Time Series
19. Multivariate Time Series
20. High Frequency Data
21. Supervised Learning
22. Unsupervised Learning
Appendix
A. Basics of Mathematical Finance
B. Introduction to R
C. Extreme Value Theory in Finance
Bibliography. .

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