Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory
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A01=Odile Pons
Author_Odile Pons
Category=PBT
Density
Diffusion
Empirical Process
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Goodness-of-Fit
Homogeneity
Kernel Estimator
Monotony
Nonparametric Regression
Nonparametric Tests
Point Process
Symmetry
Weak Convergence
Product details
- ISBN 9789814531740
- Publication Date: 20 Nov 2013
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
