Fractal Based Point Processes

Author : Steven Bradley Lowen,Malvin Carl Teich
Publisher : John Wiley & Sons
Page : 628 pages
File Size : 52,8 Mb
Release : 2005-09-19
Category : Mathematics
ISBN : 9780471754701

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Fractal-Based Point Processes by Steven Bradley Lowen,Malvin Carl Teich Pdf

An integrated approach to fractals and point processes This publication provides a complete and integrated presentation of the fields of fractals and point processes, from definitions and measures to analysis and estimation. The authors skillfully demonstrate how fractal-based point processes, established as the intersection of these two fields, are tremendously useful for representing and describing a wide variety of diverse phenomena in the physical and biological sciences. Topics range from information-packet arrivals on a computer network to action-potential occurrences in a neural preparation. The authors begin with concrete and key examples of fractals and point processes, followed by an introduction to fractals and chaos. Point processes are defined, and a collection of characterizing measures are presented. With the concepts of fractals and point processes thoroughly explored, the authors move on to integrate the two fields of study. Mathematical formulations for several important fractal-based point-process families are provided, as well as an explanation of how various operations modify such processes. The authors also examine analysis and estimation techniques suitable for these processes. Finally, computer network traffic, an important application used to illustrate the various approaches and models set forth in earlier chapters, is discussed. Throughout the presentation, readers are exposed to a number of important applications that are examined with the aid of a set of point processes drawn from biological signals and computer network traffic. Problems are provided at the end of each chapter allowing readers to put their newfound knowledge into practice, and all solutions are provided in an appendix. An accompanying Web site features links to supplementary materials and tools to assist with data analysis and simulation. With its focus on applications and numerous solved problem sets, this is an excellent graduate-level text for courses in such diverse fields as statistics, physics, engineering, computer science, psychology, and neuroscience.

Author : Kenneth Falconer
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 54,7 Mb
Release : 2014-02-03
Category : Mathematics
ISBN : 9781119942399

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Fractal Geometry by Kenneth Falconer Pdf

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)

Author : Alejandro Ramírez-Rojas,Leonardo Di G. Sigalotti,Elsa Leticia Flores Márquez,Otto Rendón
Publisher : Elsevier
Page : 406 pages
File Size : 41,9 Mb
Release : 2019-08-02
Category : Science
ISBN : 9780128149027

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Time Series Analysis in Seismology by Alejandro Ramírez-Rojas,Leonardo Di G. Sigalotti,Elsa Leticia Flores Márquez,Otto Rendón Pdf

Time Series Analysis in Seismology: Practical Applications provides technical assistance and coverage of available methods to professionals working in the field of seismology. Beginning with a thorough review of open problems in geophysics, including tectonic plate dynamics, localization of solitons, and forecasting, the book goes on to describe the various types of time series or punctual processes obtained from those systems. Additionally, the book describes a variety of methods and techniques relating to seismology and includes a discussion of future developments and improvements. Time Series Analysis in Seismology offers a concise presentation of the most recent advances in the analysis of geophysical data, particularly with regard to seismology, making it a valuable tool for researchers and students working in seismology and geophysics. Presents the necessary tools for time series analysis as it relates to seismology in a compact and consistent manner Includes a discussion of technical resources that can be applied to time series data analysis across multiple disciplines Describes the methods and techniques available for solving problems related to the analysis of complex data sets Provides exercises at the end of each chapter to enhance comprehension

Author : Guy Pujolle,Harry Perros,Serge Fdida,Ulf Körner,Ioannis Stavrakakis
Publisher : Springer
Page : 984 pages
File Size : 53,7 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540455516

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NETWORKING 2000. Broadband Communications, High Performance Networking, and Performance of Communication Networks by Guy Pujolle,Harry Perros,Serge Fdida,Ulf Körner,Ioannis Stavrakakis Pdf

This was the first conference jointly organized by the IFIP Working Groups 6. 2, 6. 3, and 6. 4. Each of these three Working Groups has its own established series of conferences. Working Group 6. 2 sponsors the Broadband Communications series of conferences (Paris 1995, Montreal 1996, Lisboa 1997, Stuttgart 1998, and Hong-Kong 1999). Working Group 6. 3 sponsors the Performance of Communication Systems series of conferences (Paris 1981, Zürich 1984, Rio de Janeiro 1987, Barcelona 1990, Raleigh 1993, Istanbul 1995, and Lund 1998). Working Group 6. 4 sponsors the High Performance Networking series of conferences (Aaren 1987, Liège 1988, Berlin 1990, Liège 1992, Grenoble 1994, Palma 1995, New York 1997, Vienna 1998). It is expected that this new joint conference will take place every two years. In view of the three sponsoring Working Groups, there were three separate tracks, one per Working Group. Each track was handled by a different co chairman. Specifically, the track of Working Group 6. 2 was handled by Ulf Körner, the track of Working Group 6. 3 was handled by Ioanis Stavrakakis, and the track of Working Group 6. 4 was handled by Serge Fdida. The overall program committee chairman was Harry Perros, and the general conference chairman was Guy Pujolle. A total of 209 papers were submitted to the conference of which 82 were accepted. Each paper was submitted to one of the three tracks.

Author : Mikhail Kanevski,Vadim Timonin,Alexi Pozdnukhov
Publisher : CRC Press
Page : 383 pages
File Size : 44,5 Mb
Release : 2009-06-09
Category : Computers
ISBN : 9781439808085

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Machine Learning for Spatial Environmental Data by Mikhail Kanevski,Vadim Timonin,Alexi Pozdnukhov Pdf

This book discusses machine learning algorithms, such as artificial neural networks of different architectures, statistical learning theory, and Support Vector Machines used for the classification and mapping of spatially distributed data. It presents basic geostatistical algorithms as well. The authors describe new trends in machine lea

Author : Vijay Madisetti
Publisher : CRC Press
Page : 874 pages
File Size : 46,7 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781420046052

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Wireless, Networking, Radar, Sensor Array Processing, and Nonlinear Signal Processing by Vijay Madisetti Pdf

Now available in a three-volume set, this updated and expanded edition of the bestselling The Digital Signal Processing Handbook continues to provide the engineering community with authoritative coverage of the fundamental and specialized aspects of information-bearing signals in digital form. Encompassing essential background material, technical details, standards, and software, the second edition reflects cutting-edge information on signal processing algorithms and protocols related to speech, audio, multimedia, and video processing technology associated with standards ranging from WiMax to MP3 audio, low-power/high-performance DSPs, color image processing, and chips on video. Drawing on the experience of leading engineers, researchers, and scholars, the three-volume set contains 29 new chapters that address multimedia and Internet technologies, tomography, radar systems, architecture, standards, and future applications in speech, acoustics, video, radar, and telecommunications. This volume, Wireless, Networking, Radar, Sensor Array Processing, and Nonlinear Signal Processing, provides complete coverage of the foundations of signal processing related to wireless, radar, space–time coding, and mobile communications, together with associated applications to networking, storage, and communications.

Author : B. L. S. Prakasa Rao
Publisher : John Wiley & Sons
Page : 213 pages
File Size : 44,6 Mb
Release : 2011-07-05
Category : Mathematics
ISBN : 9780470975763

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Statistical Inference for Fractional Diffusion Processes by B. L. S. Prakasa Rao Pdf

Stochastic processes are widely used for model building in the social, physical, engineering and life sciences as well as in financial economics. In model building, statistical inference for stochastic processes is of great importance from both a theoretical and an applications point of view. This book deals with Fractional Diffusion Processes and statistical inference for such stochastic processes. The main focus of the book is to consider parametric and nonparametric inference problems for fractional diffusion processes when a complete path of the process over a finite interval is observable. Key features: Introduces self-similar processes, fractional Brownian motion and stochastic integration with respect to fractional Brownian motion. Provides a comprehensive review of statistical inference for processes driven by fractional Brownian motion for modelling long range dependence. Presents a study of parametric and nonparametric inference problems for the fractional diffusion process. Discusses the fractional Brownian sheet and infinite dimensional fractional Brownian motion. Includes recent results and developments in the area of statistical inference of fractional diffusion processes. Researchers and students working on the statistics of fractional diffusion processes and applied mathematicians and statisticians involved in stochastic process modelling will benefit from this book.

Author : Dietrich Stoyan,Helga Stoyan
Publisher : Unknown
Page : 456 pages
File Size : 47,5 Mb
Release : 1994-10-20
Category : Mathematics
ISBN : UOM:39015032962741

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Fractals, Random Shapes and Point Fields by Dietrich Stoyan,Helga Stoyan Pdf

There has been an increasing interest in the statistical analysis of geometric objects and structures in many branches of science and engineering in recent years. The aim of this book is to present these statistical methods for practical use by non-mathematicians by outlining the mathematical ideas rather than concentrating on detailed proofs. The clarity of exposition ensures that the book will be a valuable resource for researchers and practitioners in many scientific disciplines who wish to use these methods in their work. In particular, the book is suited to materials scientists, geologists, environmental scientists, and biologists.

Author : Herb Kunze,Davide La Torre,Franklin Mendivil,Edward R. Vrscay
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 45,5 Mb
Release : 2011-11-18
Category : Mathematics
ISBN : 9781461418917

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Fractal-Based Methods in Analysis by Herb Kunze,Davide La Torre,Franklin Mendivil,Edward R. Vrscay Pdf

The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems. "Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters. For each topic the theoretical framework is carefully explained using examples and applications. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. This book is intended for graduate students and researchers in applied mathematics, engineering and social sciences. Herb Kunze is a professor of mathematics at the University of Guelph in Ontario. Davide La Torre is an associate professor of mathematics in the Department of Economics, Management and Quantitative Methods of the University of Milan. Franklin Mendivil is a professor of mathematics at Acadia University in Nova Scotia. Edward Vrscay is a professor in the department of Applied Mathematics at the University of Waterloo in Ontario. The major focus of their research is on fractals and the applications of fractals.

Author : Anonim
Publisher : Unknown
Page : 796 pages
File Size : 53,6 Mb
Release : 2006
Category : Mathematics
ISBN : UOM:39015067268402

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Mathematical Reviews by Anonim Pdf

Author : Vladas Pipiras,Murad S. Taqqu
Publisher : Cambridge University Press
Page : 693 pages
File Size : 40,6 Mb
Release : 2017-04-18
Category : Business & Economics
ISBN : 9781107039469

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Long-Range Dependence and Self-Similarity by Vladas Pipiras,Murad S. Taqqu Pdf

A modern and rigorous introduction to long-range dependence and self-similarity, complemented by numerous more specialized up-to-date topics in this research area.

Author : Elisa T. Lee,John Wenyu Wang
Publisher : John Wiley & Sons
Page : 389 pages
File Size : 41,6 Mb
Release : 2013-09-23
Category : Mathematics
ISBN : 9781118593059

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Statistical Methods for Survival Data Analysis by Elisa T. Lee,John Wenyu Wang Pdf

Praise for the Third Edition “. . . an easy-to read introduction to survival analysis which covers the major concepts and techniques of the subject.” —Statistics in Medical Research Updated and expanded to reflect the latest developments, Statistical Methods for Survival Data Analysis, Fourth Edition continues to deliver a comprehensive introduction to the most commonly-used methods for analyzing survival data. Authored by a uniquely well-qualified author team, the Fourth Edition is a critically acclaimed guide to statistical methods with applications in clinical trials, epidemiology, areas of business, and the social sciences. The book features many real-world examples to illustrate applications within these various fields, although special consideration is given to the study of survival data in biomedical sciences. Emphasizing the latest research and providing the most up-to-date information regarding software applications in the field, Statistical Methods for Survival Data Analysis, Fourth Edition also includes: Marginal and random effect models for analyzing correlated censored or uncensored data Multiple types of two-sample and K-sample comparison analysis Updated treatment of parametric methods for regression model fitting with a new focus on accelerated failure time models Expanded coverage of the Cox proportional hazards model Exercises at the end of each chapter to deepen knowledge of the presented material Statistical Methods for Survival Data Analysis is an ideal text for upper-undergraduate and graduate-level courses on survival data analysis. The book is also an excellent resource for biomedical investigators, statisticians, and epidemiologists, as well as researchers in every field in which the analysis of survival data plays a role.

Author : Reuven Y. Rubinstein,Ad Ridder,Radislav Vaisman
Publisher : John Wiley & Sons
Page : 206 pages
File Size : 52,5 Mb
Release : 2013-12-04
Category : Mathematics
ISBN : 9781118612262

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Fast Sequential Monte Carlo Methods for Counting and Optimization by Reuven Y. Rubinstein,Ad Ridder,Radislav Vaisman Pdf

A comprehensive account of the theory and application of Monte Carlo methods Based on years of research in efficient Monte Carlo methods for estimation of rare-event probabilities, counting problems, and combinatorial optimization, Fast Sequential Monte Carlo Methods for Counting and Optimization is a complete illustration of fast sequential Monte Carlo techniques. The book provides an accessible overview of current work in the field of Monte Carlo methods, specifically sequential Monte Carlo techniques, for solving abstract counting and optimization problems. Written by authorities in the field, the book places emphasis on cross-entropy, minimum cross-entropy, splitting, and stochastic enumeration. Focusing on the concepts and application of Monte Carlo techniques, Fast Sequential Monte Carlo Methods for Counting and Optimization includes: Detailed algorithms needed to practice solving real-world problems Numerous examples with Monte Carlo method produced solutions within the 1-2% limit of relative error A new generic sequential importance sampling algorithm alongside extensive numerical results An appendix focused on review material to provide additional background information Fast Sequential Monte Carlo Methods for Counting and Optimization is an excellent resource for engineers, computer scientists, mathematicians, statisticians, and readers interested in efficient simulation techniques. The book is also useful for upper-undergraduate and graduate-level courses on Monte Carlo methods.

Author : Keith Iain Hopcraft,Eric Jakeman,Kevin D. Ridley
Publisher : Taylor & Francis
Page : 223 pages
File Size : 44,9 Mb
Release : 2014-01-17
Category : Mathematics
ISBN : 9781482227659

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The Dynamics of Discrete Populations and Series of Events by Keith Iain Hopcraft,Eric Jakeman,Kevin D. Ridley Pdf

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviours. However, the characterisation of these discrete phenomena requires models that go beyond those featured in existing books. Largely concerned with mathematical models used to describe time-v

Author : Anonim
Publisher : Unknown
Page : 1542 pages
File Size : 53,8 Mb
Release : 2007
Category : Electronic journals
ISBN : UOM:49015003176204

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Journal of the American Statistical Association by Anonim Pdf