Statistical Tests of Nonparametric Hypotheses: Asymptotic Theory
Odile Pons
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.
Readership: Researchers and graduates in the field of probability and statistics, and biomathematics.
Rok:
2013
Wydanie:
1
Wydawnictwo:
World Scientific Publishing Company
Język:
english
Strony:
304
ISBN 10:
981453174X
ISBN 13:
9789814531740
Plik:
PDF, 2.19 MB
IPFS:
,
english, 2013
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