Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9814531766
Total Pages : 304 pages
Book Rating : 4.8/5 (145 download)
Book Synopsis Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory by : Odile Pons
Download or read book Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory written by Odile Pons and published by World Scientific. This book was released on 2013-10-04 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals.