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.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Release date: |
November 2013 |
First published: |
December 2013 |
Authors: |
Odile Pons
|
Dimensions: |
231 x 157 x 23mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
304 |
ISBN-13: |
978-981-4531-74-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
981-4531-74-X |
Barcode: |
9789814531740 |
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