Testing and Interval Estimation in a Change-Point Model Allowing at Most One Change


Book Description

This paper considers the simplest model of change-point in which at most one change in the mean may occur. Results include: 1) Introduction of a test for the null hypothesis that no change in the mean occurs, and the limit distribution of the test-statistic; 2) Approximate calculation of the power of the test; 3) Interval estimation of the position of change; 4) Point estimation of the jump at the point of change and its asymptotic distribution; and 5) Evaluation of the bias of the MLE of error variance. Keywords: Brownian motion process. (Author).













Multivariate Statistics and Probability


Book Description

Multivariate Statistics and Probability: Essays in Memory of Paruchuri R. Krishnaiah is a collection of essays on multivariate statistics and probability in memory of Paruchuri R. Krishnaiah (1932-1987), who made significant contributions to the fields of multivariate statistical analysis and stochastic theory. The papers cover the main areas of multivariate statistical theory and its applications, as well as aspects of probability and stochastic analysis. Topics range from finite sampling and asymptotic results, including aspects of decision theory, Bayesian analysis, classical estimation, regression, and time-series problems. Comprised of 35 chapters, this book begins with a discussion on the joint asymptotic distribution of marginal quantiles and quantile functions in samples from a multivariate population. The reader is then introduced to kernel estimators of density function of directional data; moment conditions for valid formal edgeworth expansions; and ergodicity and central limit theorems for a class of Markov processes. Subsequent chapters focus on minimal complete classes of invariant tests for equality of normal covariance matrices and sphericity; normed likelihood as saddlepoint approximation; generalized Gaussian random fields; and smoothness properties of the conditional expectation in finitely additive white noise filtering. This monograph should be of considerable interest to researchers as well as to graduate students working in theoretical and applied statistics, multivariate analysis, and random processes.










Understanding Research Methods


Book Description

In the eleventh edition of Understanding Research Methods: An Overview of the Essentials, Newhart and Patten leverage the principles of learning and content design to present the fundamentals students need to get started in research. Basics of quantitative and qualitative research are covered in short, independent topics and grouped into meaningful sections. A perennial bestseller for over ten editions, Understanding Research Methods focuses concisely on key concepts, and lessons in topics that are "chunked" to suit today’s students. Each topic ends with suggestions for planning a research project by answering topic-specific prompts in a research planning journal. Topic Review exercises encourage active learning. Finally, Topics for Discussion suggest open-ended prompts that could serve as conversation starters in the classroom or online. The final Part of the book offers guidance and activities specific to writing a research report. This section can be used to support the development of project-based assignments for courses, or it can be used independently to support senior thesis projects, master’s theses, dissertations, or articles for publication. Instructors, will appreciate the organization of Understanding Research Methods because it allows a great deal of customization and choice in which topics to cover and in what order to cover them, making it suitable for methodological training in a variety of courses and fields of study. Online digital materials support course development. New to this edition: Part introductions now include a part table of contents and list of keywords Newly expanded coverage of qualitative research New coverage on designing quantitative research Expanded material on sampling More simple graphs, charts, and illustrations emphasize and visualize Topic key points




Encyclopedia of Quantitative Risk Analysis and Assessment


Book Description

Leading the way in this field, the Encyclopedia of Quantitative Risk Analysis and Assessment is the first publication to offer a modern, comprehensive and in-depth resource to the huge variety of disciplines involved. A truly international work, its coverage ranges across risk issues pertinent to life scientists, engineers, policy makers, healthcare professionals, the finance industry, the military and practising statisticians. Drawing on the expertise of world-renowned authors and editors in this field this title provides up-to-date material on drug safety, investment theory, public policy applications, transportation safety, public perception of risk, epidemiological risk, national defence and security, critical infrastructure, and program management. This major publication is easily accessible for all those involved in the field of risk assessment and analysis. For ease-of-use it is available in print and online.




Tietz Textbook of Clinical Chemistry and Molecular Diagnostics


Book Description

The Tietz Textbook of Clinical Chemistry and Molecular Diagnostics, 6th Edition provides the most current and authoritative guidance on selecting, performing, and evaluating the results of new and established laboratory tests. This classic clinical chemistry reference offers encyclopedic coverage detailing everything you need to know, including: analytical criteria for the medical usefulness of laboratory tests, variables that affect tests and results, laboratory medicine, applications of statistical methods, and most importantly clinical utility and interpretation of laboratory tests. It is THE definitive reference in clinical chemistry and molecular diagnostics, now fully searchable and with quarterly content updates, podcasts, clinical cases, animations, and extended content online through Expert Consult. Analytical criteria focus on the medical usefulness of laboratory procedures. Reference ranges show new approaches for establishing these ranges — and provide the latest information on this topic. Lab management and costs gives students and chemists the practical information they need to assess costs, allowing them to do their job more efficiently and effectively. Statistical methods coverage provides you with information critical to the practice of clinical chemistry. Internationally recognized chapter authors are considered among the best in their field. Two-color design highlights important features, illustrations, and content to help you find information easier and faster. NEW! Internationally recognized chapter authors are considered among the best in their field. NEW! Expert Consult features fully searchable text, quarterly content updates, clinical case studies, animations, podcasts, atlases, biochemical calculations, multiple-choice questions, links to Medline, an image collection, and audio interviews. You will now enjoy an online version making utility of this book even greater. UPDATED! Expanded Molecular Diagnostics section with 12 chapters that focus on emerging issues and techniques in the rapidly evolving and important field of molecular diagnostics and genetics ensures this text is on the cutting edge and of the most value. NEW! Comprehensive list of Reference Intervals for children and adults with graphic displays developed using contemporary instrumentation. NEW! Standard and international units of measure make this text appropriate for any user — anywhere in the world. NEW! 22 new chapters that focus on applications of mass spectrometry, hematology, transfusion medicine, microbiology, biobanking, biomarker utility in the pharmaceutical industry and more! NEW! Expert senior editors, Nader Rifai, Carl Wittwer and Rita Horvath, bring fresh perspectives and help ensure the most current information is presented. UPDATED! Thoroughly revised and peer-reviewed chapters provide you with the most current information possible.