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INTRODUCTION TO MARKOV CHAINS

D. A. Bini, G. Latouche, and B. Meini

in Numerical Methods for Structured Markov Chains

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.003.0001
Subject:
Mathematics, Numerical Analysis

This chapter contains a brief introduction to the fundamental concepts of Markov chains, including classification of states, irreducible classes, first passage times, stochastic complementation and ... More


Von Neumann's Economic Model

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print:
1987
Published Online:
November 2003
ISBN:
9780198284611
eISBN:
9780191595844
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198284616.003.0023
Subject:
Economics and Finance, Microeconomics

This is the last of six chapters on the logic of price, and expands on the features of von Neumann's economic model, or activity system, which was first mentioned in Chapter IV.1. The fourteen ... More


Nonnegative Matrices

M. Vidyasagar

in Hidden Markov Processes: Theory and Applications to Biology

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691133157
eISBN:
9781400850518
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691133157.003.0003
Subject:
Mathematics, Probability / Statistics

This chapter deals with nonnegative matrices, which are relevant in the study of Markov processes because the state transition matrix of such a process is a special kind of nonnegative matrix, known ... More


Hidden Markov Processes: Theory and Applications to Biology

M. Vidyasagar

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691133157
eISBN:
9781400850518
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691133157.001.0001
Subject:
Mathematics, Probability / Statistics

This book explores important aspects of Markov and hidden Markov processes and the applications of these ideas to various problems in computational biology. It starts from first principles, so that ... More


Automorphisms of Free Groups

Matt Clay

in Office Hours with a Geometric Group Theorist

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691158662
eISBN:
9781400885398
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158662.003.0006
Subject:
Mathematics, Geometry / Topology

This chapter discusses the automorphisms of free groups. Every group is the collection of symmetries of some object, namely, its Cayley graph. A symmetry of a group is called an automorphism; it is ... More


Markov Processes and Random Sampling

Ulf Grenander and Michael I. Miller

in Pattern Theory: From representation to inference

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198505709
eISBN:
9780191916564
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198505709.003.0019
Subject:
Computer Science, Programming Languages

The parameter spaces of natural patterns are so complex that inference must often proceed compositionally, successively building up more and more complex structures, ... More


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