Continuum Percolation (Cambridge Tracts in Mathematics, Series Number 119)

Many phenomena in physics, chemistry, and biology can be modeled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modeled is made up of individual events that overlap e.g., individual raindrops that eventually make the ground evenly wet. This is a systematic, rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and they discuss related continuum models. Meester and Roy explain all important techniques and methods and apply them to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models.

Science & Math

Meester, Ronald

Roy, Rahul

Mathematics

Cambridge University Press

When is a random network (almost) connected? How much information can it carry? How can you find a particular destination within the network? And how do you approach these questions - and others - when the network is random? The analysis of communication networks requires a fascinating synthesis of random graph theory, stochastic geometry and percolation theory to provide models for both structure and information flow. This book is the first comprehensive introduction for graduate students and scientists to techniques and problems in the field of spatial random networks. The selection of material is driven by applications arising in engineering, and the treatment is both readable and mathematically rigorous. Though mainly concerned with information-flow-related questions motivated by wireless data networks, the models developed are also of interest in a broader context, ranging from engineering to social networks, biology, and physics.

Random Networks for Communication: From Statistical Physics to Information Systems (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 24)

Franceschetti, Massimo

Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.

A Natural Introduction to Probability Theory

Birkhauser

This book addresses the role of statistics and probability in the evaluation of forensic evidence, including both theoretical issues and applications in legal contexts. It discusses what evidence is and how it can be quantified, how it should be understood, and how it is applied (and, sometimes, misapplied). After laying out their philosophical position, the authors begin with a detailed study of the likelihood ratio. Following this grounding, they discuss applications of the likelihood ratio to forensic questions, in the abstract and in concrete cases. The analysis of DNA evidence in particular is treated in great detail. Later chapters concern Bayesian networks, frequentist approaches to evidence, the use of belief functions, and the thorny subject of database searches and familial searching. Finally, the authors provide commentary on various recommendation reports for forensic science. Written to be accessible to a wide audience of applied mathematicians, forensic scientists, and scientifically-oriented legal scholars, this book is a must-read for all those interested in the mathematical and philosophical foundations of evidence and belief.

Probability and Forensic Evidence: Theory, Philosophy, and Applications

Slooten, Klaas

Product Description This book addresses the role of statistics and probability in the evaluation of forensic evidence, including both theoretical issues and applications in legal contexts. It discusses what evidence is and how it can be quantified, how it should be understood, and how it is applied (and, sometimes, misapplied). After laying out their philosophical position, the authors begin with a detailed study of the likelihood ratio. Following this grounding, they discuss applications of the likelihood ratio to forensic questions, in the abstract and in concrete cases. The analysis of DNA evidence in particular is treated in great detail. Later chapters concern Bayesian networks, frequentist approaches to evidence, the use of belief functions, and the thorny subject of database searches and familial searching. Finally, the authors provide commentary on various recommendation reports for forensic science. Written to be accessible to a wide audience of applied mathematicians, forensic scientists, and scientifically-oriented legal scholars, this book is a must-read for all those interested in the mathematical and philosophical foundations of evidence and belief. Review ‘This is a foundational introduction to the statistical interpretation of forensic evidence. It should be considered an essential reference for anyone considering study or research in this area. The language and exposition are crystal-clear and leave no room for uncertainty of thinking.’ James Curran, University of Auckland‘A masterful and thought-provoking look at the statistical underpinnings for the interpretation of forensic evidence. The authors make a compelling case for the use of likelihood ratios and debunk misinterpretations of these ratios. Their strong statements across a range of current debates about DNA evidence in particular are based on detailed mathematical derivations.’ Bruce Weir, University of Washington'This book is accessible to anyone … It provides an example of applied math being utilized in the real world while being mindful of the gap that can occur between practice and theory. The diligent reader will find much to learn and enjoy throughout.’ Notices of the American Mathematical Society Book Description A self-contained examination of all aspects of statistical evidence evaluation in forensic science, from theory to concrete applications. About the Author Ronald Meester is Professor in probability theory at Vrije Universiteit Amsterdam. He is co-author of the books Continuum Percolation (1996), Random Networks for Communication (2008), and Wiskunde in je vingers (in Dutch, 2015) and has written around 120 research papers on topics including percolation theory, ergodic theory, philosophy of science, and forensic probability.Klaas Slooten works as Statistician at the Netherlands Forensic Institute and at Vrije Universiteit Amsterdam where he is Professor by special appointment. He has published around 30 articles on forensic probability and statistics. He is interested in the mathematical, legal, and philosophical approaches to the evaluation of evidence.

Probability and Forensic Evidence

Statistics is more topical than ever. Numerous decisions depend on statistical considerations: just think of the Corona crisis or decisions about approving new drugs or other products. If researchers announce they have proved some fact using statistical tests, can we then always be sure that their claim is correct? How, and more importantly why, does statistics work? What can we expect from statistics and what not? 'Fact or Fluke?' is not a textbook that explains statistical tests to the reader; instead, it discusses what comes before those tests: the philosophy behind the statistics. Should one carry out tests, or are there other ways to look at statistics?\nRonald Meester and Klaas Slooten use a variety of examples – from court cases to theoretical physics – to present different views on statistics and provide arguments for what they think is the best point of view. This book is meant for anyone who is in some way concerned with, or interested in, statistical evidence: scientific researchers, students, teachers, mathematicians, philosophers, lawyers, managers, and no doubt many others.

Fact or Fluke?: A Critical Look at Statistical Evidence

Research

Amsterdam University Press

See the best price to sell, buy, or rent books by Meester, Ronald. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Meester, Ronald

See the best price to sell, buy, or rent books by Meester, Ronald. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Continuum Percolation (Cambridge Tracts in Mathematics, Series Number 119)

Continuum Percolation (Cambridge Tracts in Mathematics, Series Number 119)

Random Networks for Communication: From Statistical Physics to Information Systems (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 24)

A Natural Introduction to Probability Theory

Probability and Forensic Evidence: Theory, Philosophy, and Applications

Probability and Forensic Evidence

Fact or Fluke?: A Critical Look at Statistical Evidence