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Book Asymptotic Robust Tests in the Presence of Nuisance Parameters

Download or read book Asymptotic Robust Tests in the Presence of Nuisance Parameters written by Paul Chwan-Cherng Wang and published by . This book was released on 1979 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asymptotic robust tests in the presence of nuisance parameters

Download or read book Asymptotic robust tests in the presence of nuisance parameters written by Paul C. Wang and published by . This book was released on 1981 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On Asymptotic Optimality Properties of Tests and Estimates in the Presence of Increasing Numbers of Nuisance Parameters

Download or read book On Asymptotic Optimality Properties of Tests and Estimates in the Presence of Increasing Numbers of Nuisance Parameters written by Thomas Scott Hammerstrom and published by . This book was released on 1978 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Inference of Local Regression in the Presence of Nuisance Parameters

Download or read book Inference of Local Regression in the Presence of Nuisance Parameters written by Ke-Li Xu and published by . This book was released on 2017 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider inference based on local estimating equations in the presence of nuisance parameters. The framework is useful for a number of applications including those in economic policy evaluation based on discontinuities or kinks and in real-time financial risk management. We focus on the criterion-function-based (in particular, empirical likelihood-based) inference, and establish conditions under which the test statistic has a pivotal asymptotic distribution. In the key step of eliminating nuisance parameters in the (possibly non-smooth) criterion function, we consider approaches based on concentration and Laplace-type plug-in estimation. The former is natural, and the latter does not require optimization and can be computationally attractive in applications using simulations. Our framework can easily incorporate bias correction induced by localization, and the inference is robust to the identification strength of the parameter of interest. The high-level assumptions are illustrated with several examples. We also provide an empirical application which assesses heterogeneous effects of academic probation in college and gender differences under the quantile regression discontinuity design.

Book Selected Works of Peter J  Bickel

Download or read book Selected Works of Peter J Bickel written by Jianqing Fan and published by Springer Science & Business Media. This book was released on 2012-11-28 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selections of Peter J. Bickel’s major papers, along with comments on their novelty and impact on the subsequent development of statistics as a discipline. Each of the eight parts concerns a particular area of research and provides new commentary by experts in the area. The parts range from Rank-Based Nonparametrics to Function Estimation and Bootstrap Resampling. Peter’s amazing career encompasses the majority of statistical developments in the last half-century or about about half of the entire history of the systematic development of statistics. This volume shares insights on these exciting statistical developments with future generations of statisticians. The compilation of supporting material about Peter’s life and work help readers understand the environment under which his research was conducted. The material will also inspire readers in their own research-based pursuits. This volume includes new photos of Peter Bickel, his biography, publication list, and a list of his students. These give the reader a more complete picture of Peter Bickel as a teacher, a friend, a colleague, and a family man.

Book Higher order asymptotic optimality in testing problems with nuisance parameters

Download or read book Higher order asymptotic optimality in testing problems with nuisance parameters written by Vladimir E. Bening and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Large Sample Test Procedures in the Presence of Nuisance Parameters

Download or read book Large Sample Test Procedures in the Presence of Nuisance Parameters written by David Mathiason and published by . This book was released on 1982 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Gradient Test

    Book Details:
  • Author : Artur Lemonte
  • Publisher : Academic Press
  • Release : 2016-02-05
  • ISBN : 0128036133
  • Pages : 157 pages

Download or read book The Gradient Test written by Artur Lemonte and published by Academic Press. This book was released on 2016-02-05 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Gradient Test: Another Likelihood-Based Test presents the latest on the gradient test, a large-sample test that was introduced in statistics literature by George R. Terrell in 2002. The test has been studied by several authors, is simply computed, and can be an interesting alternative to the classical large-sample tests, namely, the likelihood ratio (LR), Wald (W), and Rao score (S) tests. Due to the large literature about the LR, W and S tests, the gradient test is not frequently used to test hypothesis. The book covers topics on the local power of the gradient test, the Bartlett-corrected gradient statistic, the gradient statistic under model misspecification, and the robust gradient-type bounded-influence test. Covers the background of the gradient statistic and the different models Discusses The Bartlett-corrected gradient statistic Explains the algorithm to compute the gradient-type statistic

Book Sufficiency in the Presence of Nuisance Parameters

Download or read book Sufficiency in the Presence of Nuisance Parameters written by Nupun Andhivarothai and published by . This book was released on 1990 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Powerful Unit Root Tests Free of Nuisance Parameters

Download or read book Powerful Unit Root Tests Free of Nuisance Parameters written by Mehdi Hosseinkouchack and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a variance ratio-type unit root test where the nuisance parameter cancels asymptotically under both the null of a unit root and a local-to-unity alternative. Critical values and asymptotic power curves can be computed using standard numerical techniques. Our test exhibits higher power compared with tests that share the virtue of being free of tuning parameters. In fact, the local asymptotic power curves of our procedure get close to the power functions of the point optimal test, where the latter suffers from the drawback of having to correct for a nuisance parameter consistently.

Book Uniform Inference in Nonlinear Models with Mixed Identification Strength

Download or read book Uniform Inference in Nonlinear Models with Mixed Identification Strength written by Xu Cheng and published by . This book was released on 2014 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper studies inference in nonlinear models where identification loss presents in multiple parts of the parameter space. For uniform inference, we develop a local limit theory that models mixed identification strength. Building on this non-standard asymptotic approximation, we suggest robust tests and confidence intervals in the presence of non-identified and weakly identified nuisance parameters. In particular, this covers applications where some nuisance parameters are non-identified under the null (Davies (1977, 1987)) and some nuisance parameters are subject to a full range of identification strength. The asymptotic results involve both inconsistent estimators that depend on a localization parameter and consistent estimators with different rates of convergence. A sequential argument is used to peel the criterion function based on identification strength of the parameters. The robust test is uniformly valid and non-conservative.

Book Robust Asymptotic Statistics

Download or read book Robust Asymptotic Statistics written by Helmut Rieder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1 To the king, my lord, from your servant Balasi : 2 ... The king should have a look. Maybe the scribe who reads to the king did not understand . . . . shall I personally show, with this tablet that I am sending to the king, my lord, how the omen was written. 3 Really, he who has not followed the text with his finger cannot possibly understand it. This book is about optimally robust functionals and their unbiased esti mators and tests. Functionals extend the parameter of the assumed ideal center model to neighborhoods of this model that contain the actual distri bution. The two principal questions are (F): Which functional to choose? and (P): Which statistical procedure to use for the selected functional? Using a local asymptotic framework, we deal with both problems by linking up nonparametric statistical optimality with infinitesimal robust ness criteria. Thus, seemingly separate developments in robust statistics are presented in a unifying way.

Book Theory of Rank Tests

Download or read book Theory of Rank Tests written by Zbynek Sidak and published by Elsevier. This book was released on 1999-04-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works. - Asymptotic Methods - Nonparametrics - Convergence of Probability Measures - Statistical Inference

Book Bootstrapping Multivariate Models and Robust Statistics

Download or read book Bootstrapping Multivariate Models and Robust Statistics written by Demissie Alemayehu and published by . This book was released on 1986 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Statistics

Download or read book Mathematical Statistics written by A A Borokov and published by Routledge. This book was released on 2019-01-22 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging, extensive overview of modern mathematical statistics, this work reflects the current state of the field while being succinct and easy to grasp. The mathematical presentation is coherent and rigorous throughout. The author presents classical results and methods that form the basis of modern statistics, and examines the foundations o