Robustness of Statistical Tests - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robustness of Statistical Tests write by Takeaki Kariya. This book was released on 2014-05-10. Robustness of Statistical Tests available in PDF, EPUB and Kindle. Robustness of Statistical Tests provides a general, systematic finite sample theory of the robustness of tests and covers the application of this theory to some important testing problems commonly considered under normality. This eight-chapter text focuses on the robustness that is concerned with the exact robustness in which the distributional or optimal property that a test carries under a normal distribution holds exactly under a nonnormal distribution. Chapter 1 reviews the elliptically symmetric distributions and their properties, while Chapter 2 describes the representation theorem for the probability ration of a maximal invariant. Chapter 3 explores the basic concepts of three aspects of the robustness of tests, namely, null, nonnull, and optimality, as well as a theory providing methods to establish them. Chapter 4 discusses the applications of the general theory with the study of the robustness of the familiar Student’s r-test and tests for serial correlation. This chapter also deals with robustness without invariance. Chapter 5 looks into the most useful and widely applied problems in multivariate testing, including the GMANOVA (General Multivariate Analysis of Variance). Chapters 6 and 7 tackle the robust tests for covariance structures, such as sphericity and independence and provide a detailed description of univariate and multivariate outlier problems. Chapter 8 presents some new robustness results, which deal with inference in two population problems. This book will prove useful to advance graduate mathematical statistics students.
Robustness Tests for Quantitative Research
Robustness Tests for Quantitative Research - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robustness Tests for Quantitative Research write by Eric Neumayer. This book was released on 2017-08-17. Robustness Tests for Quantitative Research available in PDF, EPUB and Kindle. This highly accessible book presents robustness testing as the methodology for conducting quantitative analyses in the presence of model uncertainty.
Robustness in Statistics
Robustness in Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robustness in Statistics write by Robert L. Launer. This book was released on 1979. Robustness in Statistics available in PDF, EPUB and Kindle. An introduction to robust estimation; The robustness of residual displays; Robust smoothing; Robust pitman-like estimators; Robust estimation in the presence of outliers; Study of robustness by simulation: particularly improvement by adjustment and combination; Robust techniques for the user; Application of robust regression to trajectory data reduction; Tests for censoring of extreme values (especially) when population distributions are incompletely defined; Robust estimation for time series autoregressions; Robust techniques in communication; Robustness in the strategy of scientific model building; A density-quantile function perspective on robust.
Introduction to Robust Estimation and Hypothesis Testing
Introduction to Robust Estimation and Hypothesis Testing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Robust Estimation and Hypothesis Testing write by Rand R. Wilcox. This book was released on 2012-01-12. Introduction to Robust Estimation and Hypothesis Testing available in PDF, EPUB and Kindle. "This book focuses on the practical aspects of modern and robust statistical methods. The increased accuracy and power of modern methods, versus conventional approaches to the analysis of variance (ANOVA) and regression, is remarkable. Through a combination of theoretical developments, improved and more flexible statistical methods, and the power of the computer, it is now possible to address problems with standard methods that seemed insurmountable only a few years ago"--
Robustness in Statistics
Robustness in Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robustness in Statistics write by Robert L. Launer. This book was released on 2014-05-12. Robustness in Statistics available in PDF, EPUB and Kindle. Robustness in Statistics contains the proceedings of a Workshop on Robustness in Statistics held on April 11-12, 1978, at the Army Research Office in Research Triangle Park, North Carolina. The papers review the state of the art in statistical robustness and cover topics ranging from robust estimation to the robustness of residual displays and robust smoothing. The application of robust regression to trajectory data reduction is also discussed. Comprised of 14 chapters, this book begins with an introduction to robust estimation, paying particular attention to iteration schemes and error structure of estimators. Sensitivity and influence curves as well as their connection with jackknife estimates are described. The reader is then introduced to a simple analog of trimmed means that can be used for studying residuals from a robust point-of-view; a class of robust estimators (called P-estimators) based on the location and scale-invariant Pitman estimators of location; and robust estimation in the presence of outliers. Subsequent chapters deal with robust regression and its use to reduce trajectory data; tests for censoring of extreme values, especially when population distributions are incompletely defined; and robust estimation for time series autoregressions. This monograph should be of interest to mathematicians and statisticians.
