Computational Statistics

• Main Author: Gentle, James E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Statistics and Computing,
• Subjects: Mathematics.; Computer science > Mathematics.; Numerical analysis.; Data mining.; Computer mathematics.; Probabilities.; Statistics.; Probability Theory and Stochastic Processes.; Computational Mathematics and Numerical Analysis.; Mathematics of Computing.; Statistics and Computing/Statistics Programs.; Numeric Computing.; Data Mining and Knowledge Discovery.

Computational inference has taken its place alongside asymptotic inference and exact techniques in the standard collection of statistical methods. Computational inference is based on an approach to statistical methods that uses modern computational power to simulate distributional properties of esti...

Table of Contents:

• Preliminaries
• Mathematical and Statistical Preliminaries
• Statistical Computing
• Computer Storage and Arithmetic
• Algorithms and Programming
• Approximation of Functions and Numerical Quadrature
• Numerical Linear Algebra
• Solution of Nonlinear Equations and Optimization
• Generation of Random Numbers
• Methods of Computational Statistics
• Graphical Methods in Computational Statistics
• Tools for Identification of Structure in Data
• Estimation of Functions
• Monte Carlo Methods for Statistical Inference
• Data Randomization, Partitioning, and Augmentation
• Bootstrap Methods
• Exploring Data Density and Relationships
• Estimation of Probability Density Functions Using Parametric Models
• Nonparametric Estimation of Probability Density Functions
• Statistical Learning and Data Mining
• Statistical Models of Dependencies.