Springer Series in Statistics
Advisors:
P. Bickel, P. Diggle, S. Fienberg, U. Gather,
I. Olkin, S. Zeger
Olivier Cappe´
Eric Moulines
Tobias Ryde´n
Inference in Hidden
Markov Models
With 78 Illustrations
Olivier Cappe´ Eric Moulines
CNRS RS LTCI
GET/Te´ Paris GET/Te´ Paris
46 rue Barrault 46 rue Barrault
75634 Paris cedex 13 75634 Paris cedex 13
France France
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Tobias Ryde´n
Centre for Mathematical Sciences
Lund University
Box 118
221 00 Lund
Sweden
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Library of Congress Control Number: 2005923551
ISBN-10: 0-387-40264-0 Printed on acid-free paper.
ISBN-13: 978-0387-40264-2
© 2005 Springer Science+Business Media, Inc.
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Printed in the United States of America. (MVY)
987654321
Preface
Hidden Markov models—most often abbreviated to the acronym “HMMs”—
are one of the most essful statistical modelling ideas that have came up in
the last forty years: the use of hidden (or unobservable) states makes the model
generic enough to handle a variety plex real-world time series, while the
relatively simple prior dependence structure (the “Markov” bit) still allows
for the use of putational procedures. Our goal with this book is to
present a plete picture of statis
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