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Empirical Likelihood Ratio Tests With Smoothing Estimators And A Weighted Approach For Two Sample Comparison Under Current Status Data
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Book Synopsis Empirical Likelihood Ratio Tests with Smoothing Estimators and a Weighted Approach for Two Sample Comparison Under Current Status Data by : 許玳瑜
Download or read book Empirical Likelihood Ratio Tests with Smoothing Estimators and a Weighted Approach for Two Sample Comparison Under Current Status Data written by 許玳瑜 and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Likelihood Ratio Tests for Two Sample Comparison Under Current Status Data by : 侯科宇
Download or read book Empirical Likelihood Ratio Tests for Two Sample Comparison Under Current Status Data written by 侯科宇 and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis EMPIRICAL LIKELIHOOD TESTS FOR CONSTANT VARIANCE IN THE TWO-SAMPLE PROBLEM by : Paul Shen
Download or read book EMPIRICAL LIKELIHOOD TESTS FOR CONSTANT VARIANCE IN THE TWO-SAMPLE PROBLEM written by Paul Shen and published by . This book was released on 2019 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we investigate the problem of testing constant variance. It is an important problem in the field of statistical influence where many methods require the assumption of constant variance. The question of constant variance has to be settled in order to perform a significance test through a Student t-Test or an F-test. Two of most popular tests of constant variance in applications are the classic F-test and the Modified Levene's Test. The former is a ratio of two sample variances. Its performance is found to be very sensitive with the normality assumption. The latter Modified Levene's Test can be viewed as a result of the estimation method through the absolute deviation from the median. Its performance is also dependent upon the distribution shapes to some extent, though not as much as the F-test. We propose an innovative test constructed by the empirical likelihood method through the moment estimation equations appearing in the Modified Levene's Test. The new empirical likelihood ratio test is a nonparametric test and retains the principle of maximum likelihood. As a result, it can be an appropriate alternative to the two traditional tests in applications when underlying populations are skewed. To be specific, the empirical likelihood ratio test of constant variance uses the optimal weights in summing the absolute deviations of observations from the median values, while the Modified Levene's test uses the simple averages. It is thus desired that the empirical likelihood ratio test is more powerful than the Modified Levene's test. Meanwhile, the empirical likelihood ratio test is expected to be as robust as the Modified Levene's test, as the empirical likelihood ratio test is also constructed via the same distance as the Modified Levene's test. A real-life data set is used to illustrate implementation of the empirical likelihood ratio test with comparisons to the classic F-test and the Modified Levene's Test. It is confirmed that the empirical likelihood ratio test performs the best.
Book Synopsis Sample Surveys: Inference and Analysis by :
Download or read book Sample Surveys: Inference and Analysis written by and published by Morgan Kaufmann. This book was released on 2009-09-02 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Statistics_29B contains the most comprehensive account of sample surveys theory and practice to date. It is a second volume on sample surveys, with the goal of updating and extending the sampling volume published as volume 6 of the Handbook of Statistics in 1988. The present handbook is divided into two volumes (29A and 29B), with a total of 41 chapters, covering current developments in almost every aspect of sample surveys, with references to important contributions and available software. It can serve as a self contained guide to researchers and practitioners, with appropriate balance between theory and real life applications. Each of the two volumes is divided into three parts, with each part preceded by an introduction, summarizing the main developments in the areas covered in that part. Volume 1 deals with methods of sample selection and data processing, with the later including editing and imputation, handling of outliers and measurement errors, and methods of disclosure control. The volume contains also a large variety of applications in specialized areas such as household and business surveys, marketing research, opinion polls and censuses. Volume 2 is concerned with inference, distinguishing between design-based and model-based methods and focusing on specific problems such as small area estimation, analysis of longitudinal data, categorical data analysis and inference on distribution functions. The volume contains also chapters dealing with case-control studies, asymptotic properties of estimators and decision theoretic aspects. Comprehensive account of recent developments in sample survey theory and practice Covers a wide variety of diverse applications Comprehensive bibliography
Book Synopsis Likelihood-ratio Test Statistic for the Finite-sample Case in Nonlinear Ordinary Differential Equation Models by : Christian Tönsing
Download or read book Likelihood-ratio Test Statistic for the Finite-sample Case in Nonlinear Ordinary Differential Equation Models written by Christian Tönsing and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: Likelihood ratios are frequently utilized as basis for statistical tests, for model selection criteria and for assessing parameter and prediction uncertainties, e.g. using the profile likelihood. However, translating these likelihood ratios into p-values or confidence intervals requires the exact form of the test statistic's distribution. The lack of knowledge about this distribution for nonlinear ordinary differential equation (ODE) models requires an approximation which assumes the so-called asymptotic setting, i.e. a sufficiently large amount of data. Since the amount of data from quantitative molecular biology is typically limited in applications, this finite-sample case regularly occurs for mechanistic models of dynamical systems, e.g. biochemical reaction networks or infectious disease models. Thus, it is unclear whether the standard approach of using statistical thresholds derived for the asymptotic large-sample setting in realistic applications results in valid conclusions. In this study, empirical likelihood ratios for parameters from 19 published nonlinear ODE benchmark models are investigated using a resampling approach for the original data designs. Their distributions are compared to the asymptotic approximation and statistical thresholds are checked for conservativeness. It turns out, that corrections of the likelihood ratios in such finite-sample applications are required in order to avoid anti-conservative results
Book Synopsis Empirical Likelihood by : Art B. Owen
Download or read book Empirical Likelihood written by Art B. Owen and published by CRC Press. This book was released on 2001-05-18 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empirical likelihood provides inferences whose validity does not depend on specifying a parametric model for the data. Because it uses a likelihood, the method has certain inherent advantages over resampling methods: it uses the data to determine the shape of the confidence regions, and it makes it easy to combined data from multiple sources. It al
Book Synopsis Maximum Likelihood Estimation and Empirical Likelihood Ratio Test Under Semi-competing Risks Data by : 李均鵬
Download or read book Maximum Likelihood Estimation and Empirical Likelihood Ratio Test Under Semi-competing Risks Data written by 李均鵬 and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Testing Strategies in the Health Sciences by : Albert Vexler
Download or read book Statistical Testing Strategies in the Health Sciences written by Albert Vexler and published by CRC Press. This book was released on 2017-12-19 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Testing Strategies in the Health Sciences provides a compendium of statistical approaches for decision making, ranging from graphical methods and classical procedures through computationally intensive bootstrap strategies to advanced empirical likelihood techniques. It bridges the gap between theoretical statistical methods and practical procedures applied to the planning and analysis of health-related experiments. The book is organized primarily based on the type of questions to be answered by inference procedures or according to the general type of mathematical derivation. It establishes the theoretical framework for each method, with a substantial amount of chapter notes included for additional reference. It then focuses on the practical application for each concept, providing real-world examples that can be easily implemented using corresponding statistical software code in R and SAS. The book also explains the basic elements and methods for constructing correct and powerful statistical decision-making processes to be adapted for complex statistical applications. With techniques spanning robust statistical methods to more computationally intensive approaches, this book shows how to apply correct and efficient testing mechanisms to various problems encountered in medical and epidemiological studies, including clinical trials. Theoretical statisticians, medical researchers, and other practitioners in epidemiology and clinical research will appreciate the book’s novel theoretical and applied results. The book is also suitable for graduate students in biostatistics, epidemiology, health-related sciences, and areas pertaining to formal decision-making mechanisms.
Book Synopsis A Robust Nonparametric Likelihood Ratio Test by : Richard L. Dykstra
Download or read book A Robust Nonparametric Likelihood Ratio Test written by Richard L. Dykstra and published by . This book was released on 1981 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The likelihood ratio principle is employed to suggest a nonparametric test for testing equality of two distributions against a stochastic ordering alternative. The test appears to be robust against a wide range of alternatives. Percentage points for sample sizes less than or equal to twenty are provided as well as a comparison of power values for the Kolmogorov-Smirnov and Mann-Whitney-Wilcoxon tests. (Author).
Book Synopsis Partially Linear Models by : Wolfgang Härdle
Download or read book Partially Linear Models written by Wolfgang Härdle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ten years, there has been increasing interest and activity in the general area of partially linear regression smoothing in statistics. Many methods and techniques have been proposed and studied. This monograph hopes to bring an up-to-date presentation of the state of the art of partially linear regression techniques. The emphasis is on methodologies rather than on the theory, with a particular focus on applications of partially linear regression techniques to various statistical problems. These problems include least squares regression, asymptotically efficient estimation, bootstrap resampling, censored data analysis, linear measurement error models, nonlinear measurement models, nonlinear and nonparametric time series models.
Book Synopsis Comparing the Empirical Likelihood Ratio Test and the Likelihood Ratio Test by : Shana Leigh Carter
Download or read book Comparing the Empirical Likelihood Ratio Test and the Likelihood Ratio Test written by Shana Leigh Carter and published by . This book was released on 1999 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Likelihood Approaches for Stratified Samples with Nonresponse by : Fang Fang
Download or read book Empirical Likelihood Approaches for Stratified Samples with Nonresponse written by Fang Fang and published by . This book was released on 2007 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The SAGE Dictionary of Statistics & Methodology by : W. Paul Vogt
Download or read book The SAGE Dictionary of Statistics & Methodology written by W. Paul Vogt and published by SAGE Publications. This book was released on 2015-09-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear, readable style with a wide range of explanations and examples, this must-have dictionary reflects recent changes in the fields of statistics and methodology. Packed with new definitions, terms, and graphics, this invaluable resource is an ideal reference for researchers and professionals in the field and provides everything students need to read and understand a research report, including elementary terms, concepts, methodology, and design definitions, as well as concepts from qualitative research methods and terms from theory and philosophy.
Book Synopsis Selected Rand Abstracts by : Rand Corporation
Download or read book Selected Rand Abstracts written by Rand Corporation and published by . This book was released on 1963 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Reports (R-series), Rand Memorandums (RM-series), papers (P-series), and Books.
Book Synopsis An Author and Permuted Title Index to Selected Statistical Journals by : Brian L. Joiner
Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
