Multivariate Calculation

Use of the Continuous Groups

Author: R.H. Farrell

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 376

View: 860

Like some of my colleagues, in my earlier years I found the multivariate Jacobian calculations horrible and unbelievable. As I listened and read during the years 1956 to 1974 I continually saw alternatives to the Jacobian and variable change method of computing probability density functions. Further, it was made clear by the work of A. T. James that computation of the density functions of the sets of roots of determinental equations required a method other than Jacobian calculations and that the densities could be calculated using differential forms on manifolds. It had become clear from the work ofC S. Herz and A. T. James that the expression of the noncentral multivariate density functions required integration with respect to Haar measures on locally compact groups. Material on manifolds and locally compact groups had not yet reached the pages of multivariate books of the time and also much material about multivariate computations existed only in the journal literature or in unpublished sets oflecture notes. In spirit, being more a mathematician than a statistician, the urge to write a book giving an integrated treatment of these topics found expression in 1974-1975 when I took a one year medical leave of absence from Cornell University. During this period I wrote Techniques of Multivariate Calculation. Writing a coherent treatment of the various methods made obvious re quired background material.

Body Mass Index and Health

Author: Linda A. Ferrera

Publisher: Nova Publishers

ISBN:

Category: Health & Fitness

Page: 144

View: 122

The Federal guidelines on the identification, evaluation, and treatment of overweight and obesity in adults have defined "overweight" as a body mass index value between 25 and 29.9; and "obesity" as a body mass index value greater than or equal to 30. BMI is a ratio between weight and height. It is a mathematical formula that correlates with body fat, used to evaluate if a person is at an unhealthy weight (given a certain height). BMI value is more useful for predicting health risks than the weight alone (for adults ages 18 and up). Individuals with high BMI's are at increased risk of developing certain diseases, including: Hypertension, Cardiovascular Disease, Dyslipidemia, Adult-Onset Diabetes (Type II), Sleep Apnea, Osteoarthritis, Female Infertility, and other Conditions, including: idiopathic intracranial hypertension lower extremity venous stasis disease, gastroesophageal reflux and urinary stress incontinence. This new book gathers research from around the world in the critical field of obesity research and its effects.

Monte Carlo and Quasi-Monte Carlo Methods 2006

Author: Alexander Keller

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 698

View: 729

This book presents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm, Germany, in August 2006. The proceedings include carefully selected papers on many aspects of Monte Carlo and quasi-Monte Carlo methods and their applications. They also provide information on current research in these very active areas.

Signal Measurement and Estimation Techniques for Micro and Nanotechnology

Author: Cédric Clévy

Publisher: Springer Science & Business Media

ISBN:

Category: Technology & Engineering

Page: 242

View: 769

Signal Measurement and Estimation Techniques for Micro and Nanotechnology discusses micro, nano and robotic cells and gives a state-of-the-art presentation of the different techniques and solutions to measure and estimate signals at the micro and nano scale. New technologies and applications such as micromanipulation (artificial components, biological objects), micro-assembly (MEMS, MOEMS, NEMS) and material and surface force characterization are covered. The importance of sensing at the micro and nano scale is presented as a key issue in control systems, as well as for understanding the physical phenomena of these systems. The book also: Explains issues that make signal measurement and estimation techniques difficult at the micro-nano-scale and offers solutions Discusses automated micro-assembly, and control of micro-nano robotic devices Presents and links signal measurement and estimation techniques for micro-nano scale systems with microfabrication methods, sensors integration and control schemes Signal Measurement and Estimation Techniques for Micro and Nanotechnology is a must-read for researchers and engineers working in MEMS and control systems.

Smoothing Techniques

With Implementation in S

Author: Wolfgang Härdle

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 262

View: 731

The author has attempted to present a book that provides a non-technical introduction into the area of non-parametric density and regression function estimation. The application of these methods is discussed in terms of the S computing environment. Smoothing in high dimensions faces the problem of data sparseness. A principal feature of smoothing, the averaging of data points in a prescribed neighborhood, is not really practicable in dimensions greater than three if we have just one hundred data points. Additive models provide a way out of this dilemma; but, for their interactiveness and recursiveness, they require highly effective algorithms. For this purpose, the method of WARPing (Weighted Averaging using Rounded Points) is described in great detail.

Research Methods in Practice

Strategies for Description and Causation

Author: Dahlia K. Remler

Publisher: SAGE Publications

ISBN:

Category: Social Science

Page: 728

View: 583

Thoroughly updated to reflect changes in both research and methods, this Third Edition of Remler and Van Ryzin’s innovative, standard-setting text is imbued with a deep commitment to making social and policy research methods accessible and meaningful. Research Methods in Practice: Strategies for Description and Causation motivates readers to examine the logic and limits of social science research from academic journals and government reports. A central theme of causation versus description runs through the text, emphasizing the idea that causal research is essential to understanding the origins of social problems and their potential solutions. Readers will find excitement in the research experience as the best hope for improving the world in which we live, while also acknowledging the trade-offs and uncertainties in real-world research.

Basic Chemometric Techniques in Atomic Spectroscopy

Author: Jose Manuel Andrade-Garda

Publisher: Royal Society of Chemistry

ISBN:

Category: Mathematics

Page: 300

View: 362

This is the first book for atomic spectroscopists to present the basic principles of experimental designs, optimization and multivariate regression. It uses conceptual explanations and worked examples to give readers a clear understanding of the technique.

Fingerprinting Techniques in Food Authentication and Traceability

Author: K. S. Siddiqi

Publisher: CRC Press

ISBN:

Category: Science

Page: 432

View: 701

There is an increasing interest by consumers for high-quality food products with a clear geographical origin. With these products in demand, suitable analytical techniques are needed for the quality control. Current analytical approaches are mass spectrometry techniques, spectroscopic techniques, separation techniques, and others. Fingerprinting Techniques in Food Authentication and Traceability discusses the principles of the techniques together with their advantages and drawbacks, and reported applications concerning geographical authenticity. A combination of methods analyzing different types of food compounds seems to be the most promising approach to establish the geographical origin. The abundant acquired data are analyzed by chemometrics. Producing safe and high-quality food is a prerequisite to ensure consumer health and successful domestic and international trade, and is critical to the sustainable development of national agricultural resources. Systems to trace food or feed products through specified stages of production, processing, and distribution play a key role in assuring food safety. Analytical techniques that enable the provenance of food to be determined provide an independent means of verifying traceability systems and also help to prove product authenticity, to combat fraudulent practices and to control adulteration, which are important issues for economic, religious, or cultural reasons. Proof of provenance has become an important topic in the context of food safety, food quality, and consumer protection in accordance with national legislation and international standards and guidelines.

Testing Statistical Hypotheses

Author: Erich L. Lehmann

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 786

View: 817

The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Data Processing Techniques and Applications for Cyber-Physical Systems (DPTA 2019)

Author: Chuanchao Huang

Publisher: Springer Nature

ISBN:

Category: Technology & Engineering

Page: 2059

View: 757

This book covers cutting-edge and advanced research on data processing techniques and applications for Cyber-Physical Systems. Gathering the proceedings of the International Conference on Data Processing Techniques and Applications for Cyber-Physical Systems (DPTA 2019), held in Shanghai, China on November 15–16, 2019, it examines a wide range of topics, including: distributed processing for sensor data in CPS networks; approximate reasoning and pattern recognition for CPS networks; data platforms for efficient integration with CPS networks; and data security and privacy in CPS networks. Outlining promising future research directions, the book offers a valuable resource for students, researchers and professionals alike, while also providing a useful reference guide for newcomers to the field.

Nonparametric Curve Estimation

Methods, Theory, and Applications

Author: Sam Efromovich

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 414

View: 287

This book gives a systematic, comprehensive, and unified account of modern nonparametric statistics of density estimation, nonparametric regression, filtering signals, and time series analysis. The companion software package, available over the Internet, brings all of the discussed topics into the realm of interactive research. Virtually every claim and development mentioned in the book is illustrated with graphs which are available for the reader to reproduce and modify, making the material fully transparent and allowing for complete interactivity.

Statistical Analysis

An Interdisciplinary Introduction to Univariate & Multivariate Methods

Author: Sam Kash Kachigan

Publisher:

ISBN:

Category: Business & Economics

Page: 589

View: 924

This classic book provides the much needed conceptual explanations of advanced computer-based multivariate data analysis techniques: correlation and regression analysis, factor analysis, discrimination analysis, cluster analysis, multi-dimensional scaling, perceptual mapping, and more. It closes the gap between spiraling technology and its intelligent application, fulfilling the potential of both.

Trends in Data Engineering Methods for Intelligent Systems

Proceedings of the International Conference on Artificial Intelligence and Applied Mathematics in Engineering (ICAIAME 2020)

Author: Jude Hemanth

Publisher: Springer Nature

ISBN:

Category: Artificial intelligence

Page: 773

View: 667

This book briefly covers internationally contributed chapters with artificial intelligence and applied mathematics-oriented background-details. Nowadays, the world is under attack of intelligent systems covering all fields to make them practical and meaningful for humans. In this sense, this edited book provides the most recent research on use of engineering capabilities for developing intelligent systems. The chapters are a collection from the works presented at the 2nd International Conference on Artificial Intelligence and Applied Mathematics in Engineering held within 09-10-11 October 2020 at the Antalya, Manavgat (Turkey). The target audience of the book covers scientists, experts, M.Sc. and Ph.D. students, post-docs, and anyone interested in intelligent systems and their usage in different problem domains. The book is suitable to be used as a reference work in the courses associated with artificial intelligence and applied mathematics.

Advancing Technology Industrialization Through Intelligent Software Methodologies, Tools and Techniques

Proceedings of the 18th International Conference on New Trends in Intelligent Software Methodologies, Tools and Techniques (SoMeT_19)

Author: H. Fujita

Publisher: IOS Press

ISBN:

Category: Computers

Page: 768

View: 805

Software has become ever more crucial as an enabler, from daily routines to important national decisions. But from time to time, as society adapts to frequent and rapid changes in technology, software development fails to come up to expectations due to issues with efficiency, reliability and security, and with the robustness of methodologies, tools and techniques not keeping pace with the rapidly evolving market. This book presents the proceedings of SoMeT_19, the 18th International Conference on New Trends in Intelligent Software Methodologies, Tools and Techniques, held in Kuching, Malaysia, from 23–25 September 2019. The book explores new trends and theories that highlight the direction and development of software methodologies, tools and techniques, and aims to capture the essence of a new state of the art in software science and its supporting technology, and to identify the challenges that such a technology will have to master. The book also investigates other comparable theories and practices in software science, including emerging technologies, from their computational foundations in terms of models, methodologies, and tools. The 56 papers included here are divided into 5 chapters: Intelligent software systems design and techniques in software engineering; Machine learning techniques for software systems; Requirements engineering, software design and development techniques; Software methodologies, tools and techniques for industry; and Knowledge science and intelligent computing. This comprehensive overview of information systems and research projects will be invaluable to all those whose work involves the assessment and solution of real-world software problems.

Statistics on Special Manifolds

Author: Yasuko Chikuse

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 403

View: 526

Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.

Time Series: Theory and Methods

Author: Peter J. Brockwell

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 580

View: 511

This edition contains a large number of additions and corrections scattered throughout the text, including the incorporation of a new chapter on state-space models. The companion diskette for the IBM PC has expanded into the software package ITSM: An Interactive Time Series Modelling Package for the PC, which includes a manual and can be ordered from Springer-Verlag. * We are indebted to many readers who have used the book and programs and made suggestions for improvements. Unfortunately there is not enough space to acknowledge all who have contributed in this way; however, special mention must be made of our prize-winning fault-finders, Sid Resnick and F. Pukelsheim. Special mention should also be made of Anthony Brockwell, whose advice and support on computing matters was invaluable in the preparation of the new diskettes. We have been fortunate to work on the new edition in the excellent environments provided by the University of Melbourne and Colorado State University. We thank Duane Boes particularly for his support and encouragement throughout, and the Australian Research Council and National Science Foundation for their support of research related to the new material. We are also indebted to Springer-Verlag for their constant support and assistance in preparing the second edition. Fort Collins, Colorado P. J. BROCKWELL November, 1990 R. A. DAVIS * /TSM: An Interactive Time Series Modelling Package for the PC by P. J. Brockwell and R. A. Davis. ISBN: 0-387-97482-2; 1991.