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Mathematical Modeling in Nutrition and the Health Sciences
  • Language: en
  • Pages: 437

Mathematical Modeling in Nutrition and the Health Sciences

This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

Parametric and Nonparametric Inference from Record-Breaking Data
  • Language: en
  • Pages: 123

Parametric and Nonparametric Inference from Record-Breaking Data

By providing a comprehensive look at statistical inference from record-breaking data in both parametric and nonparametric settings, this book treats the area of nonparametric function estimation from such data in detail. Its main purpose is to fill this void on general inference from record values. Statisticians, mathematicians, and engineers will find the book useful as a research reference. It can also serve as part of a graduate-level statistics or mathematics course.

An Introduction to Copulas
  • Language: en
  • Pages: 227

An Introduction to Copulas

Copulas are functions that join multivariate distribution functions to their one-dimensional margins. The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions. With nearly a hundred examples and over 150 exercises, this book is suitable as a text or for self-study. The only prerequisite is an upper level undergraduate course in probability and mathematical statistics, although some familiarity with nonparametric statistics would be useful. Knowledge of measure-theoretic probability is not required. Roger B. Nelsen is Professor of Mathematics at Lewis & Clark College in Portland, Oregon. He is also the author of "Proofs Without Words: Exercises in Visual Thinking," published by the Mathematical Association of America.

Kinetic Models of Trace Element and Mineral Metabolism During Development
  • Language: en
  • Pages: 424

Kinetic Models of Trace Element and Mineral Metabolism During Development

  • Type: Book
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  • Published: 2020-01-29
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  • Publisher: CRC Press

Kinetic models are becoming standard tools in the research of biological systems. They are used to represent hypotheses, analyze data, and design experiments to maximize the information obtained from a study. Kinetic Models of Trace Element and Mineral Metabolism During Development describes models for calcium, chromium, copper, iron, iodide, lead, mercury, selenium, zinc, and others in health and disease.

Spatial Statistics: Methodological Aspects and Applications
  • Language: en
  • Pages: 296

Spatial Statistics: Methodological Aspects and Applications

This volume contains presentations by eminent researchers: Statistical Inference for Spatial Processes; Image Analysis; Applications of Spatial Statistics in Earth, Environmental, and Health Sciences; and Statistics of Brain Mapping. They range from asymptotic considerations for spatial processes to practical considerations related to particular applications including important methodological aspects. Many contributions concern image analysis, mainly images related to brain mapping.

Weak Dependence: With Examples and Applications
  • Language: en
  • Pages: 326

Weak Dependence: With Examples and Applications

This book develops Doukhan/Louhichi's 1999 idea to measure asymptotic independence of a random process. The authors, who helped develop this theory, propose examples of models fitting such conditions: stable Markov chains, dynamical systems or more complicated models, nonlinear, non-Markovian, and heteroskedastic models with infinite memory. Applications are still needed to develop a method of analysis for nonlinear times series, and this book provides a strong basis for additional studies.

Noise Reduction by Wavelet Thresholding
  • Language: en
  • Pages: 209

Noise Reduction by Wavelet Thresholding

Wavelet methods have become a widely spread tool in signal and image process ing tasks. This book deals with statistical applications, especially wavelet based smoothing. The methods described in this text are examples of non-linear and non parametric curve fitting. The book aims to contribute to the field both among statis ticians and in the application oriented world (including but not limited to signals and images). Although it also contains extensive analyses of some existing methods, it has no intention whatsoever to be a complete overview of the field: the text would show too much bias towards my own algorithms. I rather present new material and own insights in the questions involved w...

Block Designs: A Randomization Approach
  • Language: en
  • Pages: 364

Block Designs: A Randomization Approach

The book is composed of two volumes, each consisting of five chapters. In Vol ume I, following some statistical motivation based on a randomization model, a general theory of the analysis of experiments in block designs has been de veloped. In the present Volume II, the primary aim is to present methods of that satisfy the statistical requirements described in constructing block designs Volume I, particularly those considered in Chapters 3 and 4, and also to give some catalogues of plans of the designs. Thus, the constructional aspects are of predominant interest in Volume II, with a general consideration given in Chapter 6. The main design investigations are systematized by separating the m...

Essays on Item Response Theory
  • Language: en
  • Pages: 450

Essays on Item Response Theory

This collection of papers provides an up to date treatment of item response theory, an important topic in educational testing.

Measuring Business Cycles in Economic Time Series
  • Language: en
  • Pages: 198

Measuring Business Cycles in Economic Time Series

This book outlines and demonstrates problems with the use of the HP filter, and proposes an alternative strategy for inferring cyclical behavior from a time series featuring seasonal, trend, cyclical and noise components. The main innovation of the alternative strategy involves augmenting the series forecasts and back-casts obtained from an ARIMA model, and then applying the HP filter to the augmented series. Comparisons presented using artificial and actual data demonstrate the superiority of the alternative strategy.