Robust and Distributed Hypothesis Testing

Nonfiction, Science & Nature, Mathematics, Statistics, Technology, Electronics
Cover of the book Robust and Distributed Hypothesis Testing by Gökhan Gül, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gökhan Gül ISBN: 9783319492865
Publisher: Springer International Publishing Publication: March 8, 2017
Imprint: Springer Language: English
Author: Gökhan Gül
ISBN: 9783319492865
Publisher: Springer International Publishing
Publication: March 8, 2017
Imprint: Springer
Language: English

This book generalizes and extends the available theory in robust and decentralized hypothesis testing. In particular, it presents a robust test for modeling errors which is independent from the assumptions that a sufficiently large number of samples is available, and that the distance is the KL-divergence. Here, the distance can be chosen from a much general model, which includes the KL-divergence as a very special case. This is then extended by various means. A minimax robust test that is robust against both outliers as well as modeling errors is presented. Minimax robustness properties of the given tests are also explicitly proven for fixed sample size and sequential probability ratio tests. The theory of robust detection is extended to robust estimation and the theory of robust distributed detection is extended to classes of distributions, which are not necessarily stochastically bounded. It is shown that the quantization functions for the decision rules can also be chosen as non-monotone. Finally, the book describes the derivation of theoretical bounds in minimax decentralized hypothesis testing, which have not yet been known. As a timely report on the state-of-the-art in robust hypothesis testing, this book is mainly intended for postgraduates and researchers in the field of electrical and electronic engineering, statistics and applied probability. Moreover, it may be of interest for students and researchers working in the field of classification, pattern recognition and cognitive radio.

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

This book generalizes and extends the available theory in robust and decentralized hypothesis testing. In particular, it presents a robust test for modeling errors which is independent from the assumptions that a sufficiently large number of samples is available, and that the distance is the KL-divergence. Here, the distance can be chosen from a much general model, which includes the KL-divergence as a very special case. This is then extended by various means. A minimax robust test that is robust against both outliers as well as modeling errors is presented. Minimax robustness properties of the given tests are also explicitly proven for fixed sample size and sequential probability ratio tests. The theory of robust detection is extended to robust estimation and the theory of robust distributed detection is extended to classes of distributions, which are not necessarily stochastically bounded. It is shown that the quantization functions for the decision rules can also be chosen as non-monotone. Finally, the book describes the derivation of theoretical bounds in minimax decentralized hypothesis testing, which have not yet been known. As a timely report on the state-of-the-art in robust hypothesis testing, this book is mainly intended for postgraduates and researchers in the field of electrical and electronic engineering, statistics and applied probability. Moreover, it may be of interest for students and researchers working in the field of classification, pattern recognition and cognitive radio.

More books from Springer International Publishing

Cover of the book Caring Management in the New Economy by Gökhan Gül
Cover of the book The Evolution of Agricultural Credit during China’s Republican Era, 1912–1949 by Gökhan Gül
Cover of the book Advanced Ceramic and Metallic Coating and Thin Film Materials for Energy and Environmental Applications by Gökhan Gül
Cover of the book Netflix and the Re-invention of Television by Gökhan Gül
Cover of the book Advances in Web-Based Learning -- ICWL 2015 by Gökhan Gül
Cover of the book Healing the Wounds of Gukurahundi in Zimbabwe by Gökhan Gül
Cover of the book Policy Capacity and Governance by Gökhan Gül
Cover of the book Contextualism, Factivity and Closure by Gökhan Gül
Cover of the book Advances in Brain Inspired Cognitive Systems by Gökhan Gül
Cover of the book Japanese Cinema Between Frames by Gökhan Gül
Cover of the book Database and Expert Systems Applications by Gökhan Gül
Cover of the book Teaching Graphic Novels in the English Classroom by Gökhan Gül
Cover of the book Triple-Negative Breast Cancer by Gökhan Gül
Cover of the book The Changing Governance of Higher Education and Research by Gökhan Gül
Cover of the book The Driving Forces of Change in Environmental Indicators by Gökhan Gül
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