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| Author | : Vladimir E. Bening |
| Publisher | : Walter de Gruyter |
| Total Pages | : 305 |
| Release | : 2011-08-30 |
| Genre | : Mathematics |
| ISBN | : 3110935996 |
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
| Author | : Piotr Peter Witold Mikulski |
| Publisher | : |
| Total Pages | : 88 |
| Release | : 1961 |
| Genre | : Mathematical statistics |
| ISBN | : |
| Author | : Vladimir E. Bening |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : |
| ISBN | : 9783110622775 |
| Author | : Odile Pons |
| Publisher | : World Scientific |
| Total Pages | : 304 |
| Release | : 2013-10-04 |
| Genre | : Mathematics |
| ISBN | : 9814531766 |
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.
| Author | : Ning-Zhong Shi |
| Publisher | : World Scientific |
| Total Pages | : 320 |
| Release | : 2008 |
| Genre | : Science |
| ISBN | : 9812814361 |
This book presents up-to-date theory and methods of statistical hypothesis testing based on measure theory. The so-called statistical space is a measurable space adding a family of probability measures. Most topics in the book will be developed based on this term. The book includes some typical data sets, such as the relation between race and the death penalty verdict, the behavior of food intake of two kinds of Zucker rats, and the per capita income and expenditure in China during the 1978?2002 period. Emphasis is given to the process of finding appropriate statistical techniques and methods of evaluating these techniques.
| Author | : E.L. Lehmann |
| Publisher | : Springer Nature |
| Total Pages | : 1016 |
| Release | : 2022-06-22 |
| Genre | : Mathematics |
| ISBN | : 3030705781 |
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
| Author | : Erich L. Lehmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 795 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 038727605X |
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
| Author | : Indra Mohan Chakravarti |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1980 |
| Genre | : |
| ISBN | : |
| Author | : Erich Leo Lehmann |
| Publisher | : John Wiley & Sons |
| Total Pages | : 632 |
| Release | : 1986 |
| Genre | : Mathematics |
| ISBN | : |
This book covers the theory of hypotheses testing and of estimation by confidence intervals. Accompanying Theory of Point Estimation (1983) to cover the main topics of classical statistics, including theory and its principal applications, this second edition contains more on confidence intervals, simultaneous inference, admissibility, and conditioning. The book is thoroughly updated throughout with a new section on conditional inference and an expansion of multivariate material.
| Author | : W. Jackson Hall |
| Publisher | : CRC Press |
| Total Pages | : 321 |
| Release | : 2023-12-14 |
| Genre | : Mathematics |
| ISBN | : 1498726089 |
Provides accessible introduction to large sample theory with moving alternatives Elucidates mathematical concepts using simple practical examples Includes problem sets and solutions for each chapter Uses the moving alternative formulation developed by LeCam but requires a minimum of mathematical prerequisites
