Numerical Analysis for Statisticians
Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Genetics and the Chair of the Department of Human Genetics, all in the UCLA School of Medicine. His research interests include human genetics, population modeling, biomedical imaging, co...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2010, 2010
|
| Edition: | 2nd ed. 2010 |
| Series: | Statistics and Computing
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Recurrence Relations
- Power Series Expansions
- Continued Fraction Expansions
- Asymptotic Expansions
- Solution of Nonlinear Equations
- Vector and Matrix Norms
- Linear Regression and Matrix Inversion
- Eigenvalues and Eigenvectors
- Singular Value Decomposition
- Splines
- Optimization Theory
- The MM Algorithm
- The EM Algorithm
- Newton’s Method and Scoring
- Local and Global Convergence
- Advanced Optimization Topics
- Concrete Hilbert Spaces
- Quadrature Methods
- The Fourier Transform
- The Finite Fourier Transform
- Wavelets
- Generating Random Deviates
- Independent Monte Carlo
- Permutation Tests and the Bootstrap
- Finite-State Markov Chains
- Markov Chain Monte Carlo
- Advanced Topics in MCMC.