Statistical Theory and Inference

• Main Author: Olive, David J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Subjects: Statistics.; Probabilities.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.; Statistics, general.

This text is for  a one semester graduate course in statistical theory and covers minimal and complete sufficient statistics, maximum likelihood estimators, method of moments, bias and mean square error, uniform minimum variance estimators and the Cramer-Rao lower bound, an introduction to large sam...

Table of Contents:

• Probability and Expectations.- Multivariate Distributions
• Exponential Families.- Sufficient Statistics.- Point Estimation I.-Point Estimation II
• Testing Statistical Hypotheses.- Large Sample Theory.- Confidence Intervals.- Some Useful Distributions
• Bayesian Methods
• Stuff for Students.