An Introduction To Random Sets PDF Download
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| Author | : Hung T. Nguyen |
| Publisher | : CRC Press |
| Total Pages | : 268 |
| Release | : 2006-03-27 |
| Genre | : Mathematics |
| ISBN | : 1420010611 |
Download An Introduction to Random Sets Book in PDF, ePub and Kindle
The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis. The drawback to such diversity is that the research reports are scattered throughout the literature, with the result that i
| Author | : Hung T. Nguyen |
| Publisher | : Chapman & Hall/CRC |
| Total Pages | : 67 |
| Release | : 2006-01 |
| Genre | : |
| ISBN | : 9781584886761 |
Download Solutions Manual for an Introduction to Random Sets Book in PDF, ePub and Kindle
| Author | : Ilya Molchanov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 508 |
| Release | : 2005-05-11 |
| Genre | : Mathematics |
| ISBN | : 9781852338923 |
Download Theory of Random Sets Book in PDF, ePub and Kindle
This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine
| Author | : John Goutsias |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 417 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461219426 |
Download Random Sets Book in PDF, ePub and Kindle
This IMA Volume in Mathematics and its Applications RANDOM SETS: THEORY AND APPLICATIONS is based on the proceedings of a very successful 1996 three-day Summer Program on "Application and Theory of Random Sets." We would like to thank the scientific organizers: John Goutsias (Johns Hopkins University), Ronald P.S. Mahler (Lockheed Martin), and Hung T. Nguyen (New Mexico State University) for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the Army Research Office (ARO), the Office ofNaval Research (0NR), and the Eagan, MinnesotaEngineering Center ofLockheed Martin Tactical Defense Systems, whose financial support made the summer program possible. Avner Friedman Robert Gulliver v PREFACE "Later generations will regard set theory as a disease from which one has recovered. " - Henri Poincare Random set theory was independently conceived by D.G. Kendall and G. Matheron in connection with stochastic geometry. It was however G.
| Author | : Inés Couso |
| Publisher | : Springer |
| Total Pages | : 104 |
| Release | : 2014-07-22 |
| Genre | : Technology & Engineering |
| ISBN | : 3319086111 |
Download Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables Book in PDF, ePub and Kindle
This short book provides a unified view of the history and theory of random sets and fuzzy random variables, with special emphasis on its use for representing higher-order non-statistical uncertainty about statistical experiments. The authors lay bare the existence of two streams of works using the same mathematical ground, but differing form their use of sets, according to whether they represent objects of interest naturally taking the form of sets, or imprecise knowledge about such objects. Random (fuzzy) sets can be used in many fields ranging from mathematical morphology, economics, artificial intelligence, information processing and statistics per se, especially in areas where the outcomes of random experiments cannot be observed with full precision. This book also emphasizes the link between random sets and fuzzy sets with some techniques related to the theory of imprecise probabilities. This small book is intended for graduate and doctoral students in mathematics or engineering, but also provides an introduction for other researchers interested in this area. It is written from a theoretical perspective. However, rather than offering a comprehensive formal view of random (fuzzy) sets in this context, it aims to provide a discussion of the meaning of the proposed formal constructions based on many concrete examples and exercises. This book should enable the reader to understand the usefulness of representing and reasoning with incomplete information in statistical tasks. Each chapter ends with a list of exercises.
| Author | : Vincenzo Capasso |
| Publisher | : Springer |
| Total Pages | : 146 |
| Release | : 2018-08-02 |
| Genre | : Mathematics |
| ISBN | : 3319945777 |
Download An Introduction to Random Currents and Their Applications Book in PDF, ePub and Kindle
This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends distribution to linear functionals within the space of differential forms of any order. Methods to extend random distributions to random currents are introduced and analyzed in this book. Beginning with an overview of mathematical aspects of the theory of currents, this book moves on to examine applications in medicine, material science, and image analysis. Applied researchers will find the practical modern mathematical methods along with the detailed appendix useful to stimulate new applications and research.
| Author | : Ilya Molchanov |
| Publisher | : Springer |
| Total Pages | : 688 |
| Release | : 2017-12-14 |
| Genre | : Mathematics |
| ISBN | : 144717349X |
Download Theory of Random Sets Book in PDF, ePub and Kindle
This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance. The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. Aimed at research level, Theory of Random Sets will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematical economics, econometrics, decision theory, and mathematical finance; and electronic and electrical engineers interested in image analysis.
| Author | : Dominique Jeulin |
| Publisher | : Springer Nature |
| Total Pages | : 919 |
| Release | : 2021-06-01 |
| Genre | : Mathematics |
| ISBN | : 3030754529 |
Download Morphological Models of Random Structures Book in PDF, ePub and Kindle
This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.
| Author | : Greg W. Anderson |
| Publisher | : Cambridge University Press |
| Total Pages | : 507 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0521194520 |
Download An Introduction to Random Matrices Book in PDF, ePub and Kindle
A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.
| Author | : Roy M. Howard |
| Publisher | : John Wiley & Sons |
| Total Pages | : 742 |
| Release | : 2015-07-07 |
| Genre | : Mathematics |
| ISBN | : 1119046785 |
Download A Signal Theoretic Introduction to Random Processes Book in PDF, ePub and Kindle
A fresh introduction to random processes utilizing signal theory By incorporating a signal theory basis, A Signal Theoretic Introduction to Random Processes presents a unique introduction to random processes with an emphasis on the important random phenomena encountered in the electronic and communications engineering field. The strong mathematical and signal theory basis provides clarity and precision in the statement of results. The book also features: A coherent account of the mathematical fundamentals and signal theory that underpin the presented material Unique, in-depth coverage of material not typically found in introductory books Emphasis on modeling and notation that facilitates development of random process theory Coverage of the prototypical random phenomena encountered in electrical engineering Detailed proofs of results A related website with solutions to the problems found at the end of each chapter A Signal Theoretic Introduction to Random Processes is a useful textbook for upper-undergraduate and graduate-level courses in applied mathematics as well as electrical and communications engineering departments. The book is also an excellent reference for research engineers and scientists who need to characterize random phenomena in their research.
