Statistical Theory and Inference

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Statistical Theory and Inference by David J. Olive, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David J. Olive ISBN: 9783319049724
Publisher: Springer International Publishing Publication: May 7, 2014
Imprint: Springer Language: English
Author: David J. Olive
ISBN: 9783319049724
Publisher: Springer International Publishing
Publication: May 7, 2014
Imprint: Springer
Language: English

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 sample theory, likelihood ratio tests and uniformly most powerful tests and the Neyman Pearson Lemma. A major goal of this text is to make these topics much more accessible to students by using the theory of exponential families.

Exponential families, indicator functions and the support of the distribution are used throughout the text to simplify the theory. More than 50 ``brand name" distributions are used to illustrate the theory with many examples of exponential families, maximum likelihood estimators and uniformly minimum variance unbiased estimators. There are many homework problems with over 30 pages of solutions.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 sample theory, likelihood ratio tests and uniformly most powerful tests and the Neyman Pearson Lemma. A major goal of this text is to make these topics much more accessible to students by using the theory of exponential families.

Exponential families, indicator functions and the support of the distribution are used throughout the text to simplify the theory. More than 50 ``brand name" distributions are used to illustrate the theory with many examples of exponential families, maximum likelihood estimators and uniformly minimum variance unbiased estimators. There are many homework problems with over 30 pages of solutions.

More books from Springer International Publishing

Cover of the book Recent Metaheuristics Algorithms for Parameter Identification by David J. Olive
Cover of the book Smart Electromechanical Systems by David J. Olive
Cover of the book Dupuytren’s Contracture by David J. Olive
Cover of the book Combinatorial Optimization and Applications by David J. Olive
Cover of the book Application of Social Media in Crisis Management by David J. Olive
Cover of the book Genetic Programming Theory and Practice XV by David J. Olive
Cover of the book Fundamentals of Multimedia by David J. Olive
Cover of the book Trust Management IX by David J. Olive
Cover of the book A Mindfulness Intervention for Children with Autism Spectrum Disorders by David J. Olive
Cover of the book The Helmholtz Legacy in Physiological Acoustics by David J. Olive
Cover of the book ROBOT 2017: Third Iberian Robotics Conference by David J. Olive
Cover of the book Intelligent Computer Mathematics by David J. Olive
Cover of the book Sex, Crime, Drugs, and Just Plain Stupid Behaviors by David J. Olive
Cover of the book Quantum Systems under Gravitational Time Dilation by David J. Olive
Cover of the book Self-Sufficiency of an Autonomous Reconfigurable Modular Robotic Organism by David J. Olive
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy