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Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory Pons, Odile (French National Institute For Agriculture, Food, And Environment (Inrae), France) 1st edition
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Statistical Tests Of Nonparametric Hypotheses: Asymptotic Theory
Pons, Odile (French National Institute For Agriculture, Food, And Environment (Inrae), France)
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.
304 pages
| Media | Books Hardcover Book (Book with hard spine and cover) |
| Released | November 20, 2013 |
| ISBN13 | 9789814531740 |
| Publishers | World Scientific Publishing Co Pte Ltd |
| Pages | 304 |
| Dimensions | 157 × 231 × 23 mm · 566 g |
| Language | English |
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