Bayes' Rule with MatLab

A Tutorial Introduction to Bayesian Analysis

Author: James V Stone

Publisher: N.A

ISBN: 9780993367908

Category: Mathematics

Page: 192

View: 8873

Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, a range of accessible examples is used to show how Bayes' rule is actually a natural consequence of common sense reasoning. Bayes' rule is then derived using intuitive graphical representations of probability, and Bayesian analysis is applied to parameter estimation using the MatLab and Python programs provided online. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to become familiar with the basic principles of Bayesian analysis. Note that this MatLab version of Bayes' Rule includes working MatLab code snippets alongside the relevant equations.
Posted in Mathematics

Bayes' Rule

A Tutorial Introduction to Bayesian Analysis

Author: James V. Stone

Publisher: Sebtel Press

ISBN: 0956372848

Category: Bayesian statistical decision theory

Page: 170

View: 9360

In this richly illustrated book, a range of accessible examples are used to show how Bayes' rule is actually a natural consequence of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for the novice who wishes to become familiar with the basic principles of Bayesian analysis.
Posted in Bayesian statistical decision theory

Random Signals and Processes Primer with MATLAB

Author: Gordana Jovanovic Dolecek

Publisher: Springer Science & Business Media

ISBN: 1461423864

Category: Technology & Engineering

Page: 530

View: 7716

This book provides anyone needing a primer on random signals and processes with a highly accessible introduction to these topics. It assumes a minimal amount of mathematical background and focuses on concepts, related terms and interesting applications to a variety of fields. All of this is motivated by numerous examples implemented with MATLAB, as well as a variety of exercises at the end of each chapter.
Posted in Technology & Engineering

Multi-Sensor Data Fusion with MATLAB®

Author: Jitendra R. Raol

Publisher: CRC Press

ISBN: 9781439800058

Category: Technology & Engineering

Page: 568

View: 1470

Using MATLAB® examples wherever possible, Multi-Sensor Data Fusion with MATLAB explores the three levels of multi-sensor data fusion (MSDF): kinematic-level fusion, including the theory of DF; fuzzy logic and decision fusion; and pixel- and feature-level image fusion. The authors elucidate DF strategies, algorithms, and performance evaluation mainly for aerospace applications, although the methods can also be applied to systems in other areas, such as biomedicine, military defense, and environmental engineering. After presenting several useful strategies and algorithms for DF and tracking performance, the book evaluates DF algorithms, software, and systems. It next covers fuzzy logic, fuzzy sets and their properties, fuzzy logic operators, fuzzy propositions/rule-based systems, an inference engine, and defuzzification methods. It develops a new MATLAB graphical user interface for evaluating fuzzy implication functions, before using fuzzy logic to estimate the unknown states of a dynamic system by processing sensor data. The book then employs principal component analysis, spatial frequency, and wavelet-based image fusion algorithms for the fusion of image data from sensors. It also presents procedures for combing tracks obtained from imaging sensor and ground-based radar. The final chapters discuss how DF is applied to mobile intelligent autonomous systems and intelligent monitoring systems. Fusing sensors’ data can lead to numerous benefits in a system’s performance. Through real-world examples and the evaluation of algorithmic results, this detailed book provides an understanding of MSDF concepts and methods from a practical point of view. Select MATLAB programs are available for download on
Posted in Technology & Engineering

Engineering Mathematics with MATLAB

Author: Won Y. Yang,Young K. Choi,Jaekwon Kim,Man Cheol Kim,H. Jin Kim,Taeho Im

Publisher: CRC Press

ISBN: 1351671901

Category: Mathematics

Page: 741

View: 8321

The aim of this book is to help the readers understand the concepts, techniques, terminologies, and equations appearing in the existing books on engineering mathematics using MATLAB. Using MATLAB for computation would be otherwise time consuming, tedious and error-prone. The readers are recommended to have some basic knowledge of MATLAB.
Posted in Mathematics

Digital Signal Processing with Matlab Examples, Volume 1

Signals and Data, Filtering, Non-stationary Signals, Modulation

Author: Jose Maria Giron-Sierra

Publisher: Springer

ISBN: 9811025347

Category: Technology & Engineering

Page: 622

View: 8023

This is the first volume in a trilogy on modern Signal Processing. The three books provide a concise exposition of signal processing topics, and a guide to support individual practical exploration based on MATLAB programs. This book includes MATLAB codes to illustrate each of the main steps of the theory, offering a self-contained guide suitable for independent study. The code is embedded in the text, helping readers to put into practice the ideas and methods discussed. The book is divided into three parts, the first of which introduces readers to periodic and non-periodic signals. The second part is devoted to filtering, which is an important and commonly used application. The third part addresses more advanced topics, including the analysis of real-world non-stationary signals and data, e.g. structural fatigue, earthquakes, electro-encephalograms, birdsong, etc. The book’s last chapter focuses on modulation, an example of the intentional use of non-stationary signals.
Posted in Technology & Engineering

Statistik: Klassisch oder Bayes

Zwei Wege im Vergleich

Author: Wolfgang Tschirk

Publisher: Springer-Verlag

ISBN: 3642543855

Category: Mathematics

Page: 166

View: 7158

Die schließende Statistik ist die Wissenschaft davon, aus einer Stichprobe auf die Gesamtheit zu schließen. In ihr gibt es zwei vorherrschende Lehren: die klassische Statistik und die Bayes-Statistik. Die klassische Statistik verwendet zum Schätzen von Parametern und zum Testen von Hypothesen nur die Stichprobe; die bayessche stellt zusätzlich in Rechnung, was man sonst noch über das Problem weiß oder annimmt. Das hängt mit unterschiedlichen Meinungen darüber zusammen, was Wahrscheinlichkeit bedeutet: relative Häufigkeit in Zufallsexperimenten (die klassische Sicht) oder einen Ausdruck des Wissens (die bayessche). Dieses Buch soll die Standpunkte klären und prüfen: Ausgehend vom jeweiligen Wahrscheinlichkeitsbegriff werden klassische und bayessche Methoden entwickelt und auf Schätz- und Testprobleme angewandt, wobei Gemeinsamkeiten und Unterschiede hervorgehoben werden und besonderes Augenmerk auf die Interpretation der Ergebnisse gerichtet ist.
Posted in Mathematics

Statistics for Bioengineering Sciences

With MATLAB and WinBUGS Support

Author: Brani Vidakovic

Publisher: Springer Science & Business Media

ISBN: 9781461403944

Category: Mathematics

Page: 753

View: 7317

Through its scope and depth of coverage, this book addresses the needs of the vibrant and rapidly growing engineering fields, bioengineering and biomedical engineering, while implementing software that engineers are familiar with. The author integrates introductory statistics for engineers and introductory biostatistics as a single textbook heavily oriented to computation and hands on approaches. For example, topics ranging from the aspects of disease and device testing, Sensitivity, Specificity and ROC curves, Epidemiological Risk Theory, Survival Analysis, or Logistic and Poisson Regressions are covered. In addition to the synergy of engineering and biostatistical approaches, the novelty of this book is in the substantial coverage of Bayesian approaches to statistical inference. Many examples in this text are solved using both the traditional and Bayesian methods, and the results are compared and commented.
Posted in Mathematics

Matlab fÃ1⁄4r Dummies

Author: Jim Sizemore

Publisher: John Wiley & Sons

ISBN: 352780871X

Category: Computers

Page: 416

View: 3938

Ob Naturwissenschaftler, Mathematiker, Ingenieur oder Datenwissenschaftler - mit MATLAB haben Sie ein mï¿1⁄2chtiges Tool in der Hand, das Ihnen die Arbeit mit Ihren Daten erleichtert. Aber wie das mit manch mï¿1⁄2chtigen Dingen so ist - es ist auch ganz schï¿1⁄2n kompliziert. Aber keine Sorge! Jim Sizemore fï¿1⁄2hrt Sie in diesem Buch Schritt fï¿1⁄2r Schritt an das Programm heran - von der Installation und den ersten Skripten bis hin zu aufwï¿1⁄2ndigen Berechnungen, der Erstellung von Grafiken und effizienter Fehlerbehebung. Sie werden begeistert sein, was Sie mit MATLAB alles anstellen kï¿1⁄2nnen.
Posted in Computers

MATLAB for Neuroscientists

An Introduction to Scientific Computing in MATLAB

Author: Pascal Wallisch,Michael E. Lusignan,Marc D. Benayoun,Tanya I. Baker,Adam Seth Dickey,Nicholas G. Hatsopoulos

Publisher: Academic Press

ISBN: 0123838371

Category: Computers

Page: 570

View: 5837

MATLAB for Neuroscientists serves as the only complete study manual and teaching resource for MATLAB, the globally accepted standard for scientific computing, in the neurosciences and psychology. This unique introduction can be used to learn the entire empirical and experimental process (including stimulus generation, experimental control, data collection, data analysis, modeling, and more), and the 2nd Edition continues to ensure that a wide variety of computational problems can be addressed in a single programming environment. This updated edition features additional material on the creation of visual stimuli, advanced psychophysics, analysis of LFP data, choice probabilities, synchrony, and advanced spectral analysis. Users at a variety of levels—advanced undergraduates, beginning graduate students, and researchers looking to modernize their skills—will learn to design and implement their own analytical tools, and gain the fluency required to meet the computational needs of neuroscience practitioners. The first complete volume on MATLAB focusing on neuroscience and psychology applications Problem-based approach with many examples from neuroscience and cognitive psychology using real data Illustrated in full color throughout Careful tutorial approach, by authors who are award-winning educators with strong teaching experience
Posted in Computers

Lie-Gruppen und Lie-Algebren

Author: Joachim Hilgert,Karl-Hermann Neeb

Publisher: Springer-Verlag

ISBN: 3322802701

Category: Education

Page: 361

View: 6525

Dieses Buch versteht sich als Einführung in die Theorie der Lie-Gruppen. Der Begriff der Lie-Gruppen wird ausgehend von den einfachsten Beispielen, den Matrizengruppen, entwickelt. Eine große Anzahl von Problemen für Lie-Gruppen kann man durch Übertragung auf die zugehörigen Lie-Algebren lösen. Dies ist der Leitgedanke des Buches. Vorausgesetzt werden Kenntnisse in der Linearen Algebra, der Differentialrechnung mehrerer Variablen und der elementaren Gruppentheorie.
Posted in Education


Einführung in die Wahrscheinlichkeitstheorie und Statistik

Author: Hans-Otto Georgii

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110386860

Category: Mathematics

Page: 448

View: 2745

Due to the extremely positive reception of this textbook, it is now being published in its 5th edition. The book provides an introduction to the key ideas and elements of probability theory and statistics. Stochastic concepts, models, and methods are highlighted through typical application examples, then analyzed theoretically and systematically explored.
Posted in Mathematics

Engineering Biostatistics

An Introduction Using MATLAB and WinBUGS

Author: Brani Vidakovic

Publisher: John Wiley & Sons

ISBN: 1119168961

Category: Mathematics

Page: 984

View: 7388

Provides a one-stop resource for engineers learning biostatistics using MATLAB® and WinBUGS Through its scope and depth of coverage, this book addresses the needs of the vibrant and rapidly growing bio-oriented engineering fields while implementing software packages that are familiar to engineers. The book is heavily oriented to computation and hands-on approaches so readers understand each step of the programming. Another dimension of this book is in parallel coverage of both Bayesian and frequentist approaches to statistical inference. It avoids taking sides on the classical vs. Bayesian paradigms, and many examples in this book are solved using both methods. The results are then compared and commented upon. Readers have the choice of MATLAB® for classical data analysis and WinBUGS/OpenBUGS for Bayesian data analysis. Every chapter starts with a box highlighting what is covered in that chapter and ends with exercises, a list of software scripts, datasets, and references. Engineering Biostatistics: An Introduction using MATLAB® and WinBUGS also includes: parallel coverage of classical and Bayesian approaches, where appropriate substantial coverage of Bayesian approaches to statistical inference material that has been classroom-tested in an introductory statistics course in bioengineering over several years exercises at the end of each chapter and an accompanying website with full solutions and hints to some exercises, as well as additional materials and examples Engineering Biostatistics: An Introduction using MATLAB® and WinBUGS can serve as a textbook for introductory-to-intermediate applied statistics courses, as well as a useful reference for engineers interested in biostatistical approaches.
Posted in Mathematics


Eine Einführung

Author: Christoph Überhuber,Stefan Katzenbeisser

Publisher: Springer-Verlag

ISBN: 3709167809

Category: Computers

Page: 206

View: 2571

Simulation ist neben Theorie und Experiment die dritte Säule wissenschaftlicher Forschung und technischer Entwicklung. Computer-Berechnungen sind zu einer wesentlichen Antriebskraft im Bereich der Technik und der Naturwissenschaften geworden. Speziell für diese Anwendungsbereiche wurde MATLAB entwickelt. MATLAB ist ein auf mathematisch/numerischen Methoden beruhendes Problemlösungswerkzeug, das sowohl bequeme Benutzeroberflächen bietet, als auch die individuelle Programmierung gestattet. MATLAB hat sich durch seine Erweiterungsmöglichkeit in Form von "Toolboxen" zu einem universell einsetzbaren Werkzeug auf den verschiedensten Gebieten (Simulation, Signalverarbeitung, Regelungstechnik, Fuzzy Logic, etc.) entwickelt.
Posted in Computers


Author: Heinz Schade,Klaus Neemann

Publisher: Walter de Gruyter

ISBN: 3110213214

Category: Science

Page: 462

View: 8651

Dieses Lehrbuch stellt eine umfassende und leicht verständliche Einführung in die Tensoranalysis dar, die hier als Oberbegriff von klassischer Tensoranalysis und Tensoralgebra zu verstehen ist und die in vielen Anwendungen der Physik und der Ingenieurwissenschaften benötigt wird. Es vermittelt die nötigen algebraischen Hilfsmittel und enthält zahlreiche Übungsaufgaben mit Lösungen, so dass es sich auch für ein Selbststudium eignet.
Posted in Science

Zeitdiskrete Signalverarbeitung

Author: Alan V. Oppenheim,Ronald W. Schafer

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486792962

Category: Technology & Engineering

Page: 1079

View: 3054

Wer die Methoden der digitalen Signalverarbeitung erlernen oder anwenden will, kommt ohne das weltweit bekannte, neu gefaßte Standardwerk "Oppenheim/Schafer" nicht aus. Die Beliebtheit des Buches beruht auf den didaktisch hervorragenden Einführungen, der umfassenden und tiefgreifenden Darstellung der Grundlagen, der kompetenten Berücksichtigung moderner Weiterentwicklungen und der Vielzahl verständnisfördernder Aufgaben.
Posted in Technology & Engineering

Mobile Robot Navigation with Intelligent Infrared Image Interpretation

Author: William L. Fehlman,Mark K. Hinders

Publisher: Springer Science & Business Media

ISBN: 1848825099

Category: Technology & Engineering

Page: 274

View: 6437

Mobile robots require the ability to make decisions such as "go through the hedges" or "go around the brick wall." Mobile Robot Navigation with Intelligent Infrared Image Interpretation describes in detail an alternative to GPS navigation: a physics-based adaptive Bayesian pattern classification model that uses a passive thermal infrared imaging system to automatically characterize non-heat generating objects in unstructured outdoor environments for mobile robots. The resulting classification model complements an autonomous robot’s situational awareness by providing the ability to classify smaller structures commonly found in the immediate operational environment.
Posted in Technology & Engineering


Performance erhöhen durch Software-Multithreading

Author: Shameem Akhter,Jason Roberts

Publisher: N.A

ISBN: 9783939084709


Page: 298

View: 6056

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