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System Control and Rough Paths

Terry Lyons and Zhongmin Qian

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198506485
eISBN:
9780191709395
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506485.001.0001
Subject:
Mathematics, Probability / Statistics

Systems evolve and interact, and when they do this in a continuous way, differential equations can be used to provide accurate mathematical models for the interaction or reaction of the controlled ... More


Numerical Methods for Structured Markov Chains

Dario A. Bini, Guy Latouche, and Beatrice Meini

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.001.0001
Subject:
Mathematics, Numerical Analysis

The book deals with the numerical solution of structured Markov chains which include M/G/1 and G/M/1-type Markov chains, QBD processes, non-skip-free queues, and tree-like stochastic processes and ... More


Random Geometric Graphs

Mathew Penrose

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.001.0001
Subject:
Mathematics, Probability / Statistics

This book sets out a body of rigorous mathematical theory for finite graphs with nodes placed randomly in Euclidean d-space according to a common probability density, and edges added to connect ... More


Stochastic Methods in Neuroscience

Carlo Laing and Gabriel J Lord (eds)

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199235070
eISBN:
9780191715778
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235070.001.0001
Subject:
Mathematics, Biostatistics

We give a brief introduction to modelling in mathematical neuroscience, to stochastic processes, and stochastic differential equations as well as an overview of the book.


New Perspectives in Stochastic Geometry

Wilfrid S. Kendall and Ilya Molchanov (eds)

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199232574
eISBN:
9780191716393
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199232574.001.0001
Subject:
Mathematics, Geometry / Topology

Stochastic geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, ... More


Computational Methods for the Study of Dynamic Economies

Ramon Marimon and Andrew Scott (eds)

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199248278
eISBN:
9780191596605
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199248273.001.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

Macroeconomics increasingly uses stochastic dynamic general equilibrium models to understand theoretical and policy issues. Unless very strong assumptions are made, understanding the properties of ... More


Introduction

Anthony Garratt, Kevin Lee, M. Hashem Pesaran, and Yongcheol Shin

in Global and National Macroeconometric Modelling: A Long-Run Structural Approach

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199296859
eISBN:
9780191603853
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199296855.003.0001
Subject:
Economics and Finance, Econometrics

This chapter introduces the long-run structural approach to modelling. It makes brief comparisons with the key alternative approaches, namely large-scale simultaneous equation models, unrestricted ... More


Probability forecasting: Concepts and analysis

Anthony Garratt, Kevin Lee, M. Hashem Pesaran, and Yongcheol Shin

in Global and National Macroeconometric Modelling: A Long-Run Structural Approach

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199296859
eISBN:
9780191603853
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199296855.003.0007
Subject:
Economics and Finance, Econometrics

This chapter provides an introduction to the interpretation and estimation of probability forecasts, which is considered to be a particularly useful method for presenting forecasts and ... More


Stochastic Modeling and Analysis

Richard M. Murray

in Biomolecular Feedback Systems

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691161532
eISBN:
9781400850501
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161532.003.0004
Subject:
Biology, Biochemistry / Molecular Biology

This chapter explores stochastic behavior in biomolecular systems. It does so by first building on the preliminary discussion of stochastic modeling laid out in Chapter 2. The chapter reviews methods ... More


Country default risk in emerging markets 1

Jerome L. Stein

in Stochastic Optimal Control, International Finance, and Debt Crises

Published in print:
2006
Published Online:
May 2006
ISBN:
9780199280575
eISBN:
9780191603501
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199280576.003.0007
Subject:
Economics and Finance, Financial Economics

Early Warning Signals of a default or debt crisis are derived by drawing upon the stochastic optimal control model of an optimal and excessive short-term debt developed in chapter 2. Operational ... More


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