Mathematical statistics : basic ideas and selected topics

Volume I presents fundamental, classical statistical concepts at the doctorate level without using measure theory. It gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods. Volume II covers a number of topics that are important in curren...

• Main Author: Bickel, Peter J., 1940-
• Other Authors: Doksum, Kjell A.
• Format: Book
• Language: English
• Published: Boca Raton: Chapman and Hall/CRC, 2015.
• Series: Mathematical Statistics
• Subjects: Mathematical statistics; Mathematics; Probability; Statistics
• Online Access: Texto completo

Table of Contents:

• Satatistical models, goals and performance criteria
• Methods of estimation
• Measures of performances
• Testing and confidence regions basic theory
• Asymptotic approximations
• Inference in the multiparameter case
• Tools for asymptotic analysis
• Distribution-free, unbiased and equivariant procedures
• Inference in semiparametric models
• Monte Carlo methods
• Nonparametric inference for functions of one variable
• Prediction and machine learning