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Model Assisted Survey Sampling

Model Assisted Survey Sampling 140 BOOK REVIEWS of diffusions on fractals. Additional topics are presented in volume 284 of this series. The treatment and topics described in this book require a high level of mathematical and probabilistic knowledge and are not suitable for the general statistical reader. The first section of this book contains five papers on the asymptotic properties of a variety of stochastic processes. The factor linking the bulk of these papers (E. A. Carlen and K. D. Elworthy, R. Carmona and S. A. Molchanov, and H. Osada) is the study of diffusions in heterogeneous velocity fields. These may be stochastic or deterministically defined and are commonly used to describe heterogeneous media. Interest centres on asymptotics where the aim is to derive the parameters of a homogeneous system which approximates the true system at large scales of measurement. Other asymptotic results are derived for predator-prey systems (R. Durrett) and interacting particle systems (S. R. S. Varadhan). The second section contains seven papers on problems associated with diffusions on fractals. This area is of considerable interest to researchers in the physical sciences where the bulk of applications are found. The problem is to describe a stochastic process which exhibits different properties at http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Royal Statistical Society Series D: The Statistician Oxford University Press

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References (5)

Publisher
Oxford University Press
Copyright
© 1995 Royal Statistical Society
ISSN
2515-7884
eISSN
1467-9884
DOI
10.2307/2348627
Publisher site
See Article on Publisher Site

Abstract

140 BOOK REVIEWS of diffusions on fractals. Additional topics are presented in volume 284 of this series. The treatment and topics described in this book require a high level of mathematical and probabilistic knowledge and are not suitable for the general statistical reader. The first section of this book contains five papers on the asymptotic properties of a variety of stochastic processes. The factor linking the bulk of these papers (E. A. Carlen and K. D. Elworthy, R. Carmona and S. A. Molchanov, and H. Osada) is the study of diffusions in heterogeneous velocity fields. These may be stochastic or deterministically defined and are commonly used to describe heterogeneous media. Interest centres on asymptotics where the aim is to derive the parameters of a homogeneous system which approximates the true system at large scales of measurement. Other asymptotic results are derived for predator-prey systems (R. Durrett) and interacting particle systems (S. R. S. Varadhan). The second section contains seven papers on problems associated with diffusions on fractals. This area is of considerable interest to researchers in the physical sciences where the bulk of applications are found. The problem is to describe a stochastic process which exhibits different properties at

Journal

Journal of the Royal Statistical Society Series D: The StatisticianOxford University Press

Published: Dec 5, 2018

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