A General Theory of First-passage Distributions in Transport and Multiplicative Processes

A General Theory of First-passage Distributions in Transport and Multiplicative Processes PDF Author: J. E. Moyal
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 52

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A General Theory of First-passage Distributions in Transport and Multiplicative Processes

A General Theory of First-passage Distributions in Transport and Multiplicative Processes PDF Author: J. E. Moyal
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 52

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Book Description


Stochastic Population Processes

Stochastic Population Processes PDF Author: Eric Renshaw
Publisher: Oxford University Press
ISBN: 0198739060
Category : Mathematics
Languages : en
Pages : 665

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Book Description
A reference text presenting stochastic processes and a range of approximation and simulation techniques for extracting behavioural information in the context of stochastic population dynamics.

Approximation of Population Processes

Approximation of Population Processes PDF Author: Thomas G. Kurtz
Publisher: SIAM
ISBN: 9781611970333
Category : Mathematics
Languages : en
Pages : 83

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Book Description
Population processes are stochastic models for systems involving a number of similar particles. Examples include models for chemical reactions and for epidemics. The model may involve a finite number of attributes, or even a continuum. This monograph considers approximations that are possible when the number of particles is large. The models considered will involve a finite number of different types of particles.

Stochastic Spatial Processes

Stochastic Spatial Processes PDF Author: Petre Tautu
Publisher: Springer
ISBN: 3540470530
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Proceedings of a Conference held in Heidelberg, September 10 - 14, 1984

Maverick Mathematician

Maverick Mathematician PDF Author: Ann Moyal
Publisher: ANU E Press
ISBN: 1920942599
Category : Biography & Autobiography
Languages : en
Pages : 212

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Book Description
"J.E. Moyal has been pronounced 'one of Australia's most remarkable thinkers'. Yet, he was, essentially, a scientific maverick. Educated in a modest high school in Tel Aviv, he took himself to France to train as an engineer, statistician and mathematician and escaped to England as France fell. It was from outside academia that he entered into communication with the 'high priest' of British theoretical physics, P.A.M. Dirac, challenging him with the idea of a statistical basis of quantum mechanics. Their correspondence forms the core of this book and opens up an important and hitherto unknown chapter for physicists, mathematicians and historians of science. Moyal's classic paper, 'A statistical basis for quantum mechanics', also reproduced here in full, has come to underlie an explosion of research and to underpin an array of major technological developments."--Publisher's description.

Lectures on the Poisson Process

Lectures on the Poisson Process PDF Author: Günter Last
Publisher: Cambridge University Press
ISBN: 1108505961
Category : Mathematics
Languages : en
Pages : 315

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Book Description
The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels.

An Introduction to the Theory of Point Processes

An Introduction to the Theory of Point Processes PDF Author: D.J. Daley
Publisher: Springer Science & Business Media
ISBN: 0387955410
Category : Mathematics
Languages : en
Pages : 487

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Book Description
Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.

The Elements of Stochastic Processes with Applications to the Natural Sciences

The Elements of Stochastic Processes with Applications to the Natural Sciences PDF Author: Norman T. J. Bailey
Publisher: John Wiley & Sons
ISBN: 9780471523680
Category : Mathematics
Languages : en
Pages : 268

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Book Description
Develops an introductory and relatively simple account of the theory and application of the evolutionary type of stochastic process. Professor Bailey adopts the heuristic approach of applied mathematics and develops both theoretical principles and applied techniques simultaneously.

U.S. Government Research Reports

U.S. Government Research Reports PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1166

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Random Point Processes in Time and Space

Random Point Processes in Time and Space PDF Author: Donald L. Snyder
Publisher: Springer Science & Business Media
ISBN: 1461231663
Category : Technology & Engineering
Languages : en
Pages : 489

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Book Description
This book is a revision of Random Point Processes written by D. L. Snyder and published by John Wiley and Sons in 1975. More emphasis is given to point processes on multidimensional spaces, especially to pro cesses in two dimensions. This reflects the tremendous increase that has taken place in the use of point-process models for the description of data from which images of objects of interest are formed in a wide variety of scientific and engineering disciplines. A new chapter, Translated Poisson Processes, has been added, and several of the chapters of the fIrst edition have been modifIed to accommodate this new material. Some parts of the fIrst edition have been deleted to make room. Chapter 7 of the fIrst edition, which was about general marked point-processes, has been eliminated, but much of the material appears elsewhere in the new text. With some re luctance, we concluded it necessary to eliminate the topic of hypothesis testing for point-process models. Much of the material of the fIrst edition was motivated by the use of point-process models in applications at the Biomedical Computer Labo ratory of Washington University, as is evident from the following excerpt from the Preface to the first edition. "It was Jerome R. Cox, Jr. , founder and [1974] director of Washington University's Biomedical Computer Laboratory, who ftrst interested me [D. L. S.