Denumerable Markov Chains: with a chapter of Markov Random Fields by David Griffeath: 40 (Graduate Texts in Mathematics, 40) - Tapa dura

Libro 116 de 180: Graduate Texts in Mathematics

Snell, J. Laurie; Kemeny, John G.

 
9780387901770: Denumerable Markov Chains: with a chapter of Markov Random Fields by David Griffeath: 40 (Graduate Texts in Mathematics, 40)
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ISBN 10: 0387901779 ISBN 13: 9780387901770
Editorial: Springer, 1976

Sinopsis

With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the first edition, which we have corrected. More detail about the correction appears in the Additional Notes. Aside from this change, we have left intact the text of the first eleven chapters. The second edition contains a twelfth chapter, written by David Griffeath, on Markov random fields. We are grateful to Ted Cox for his help in preparing this material. Notes for the chapter appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.

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Reseña del editor

With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the first edition, which we have corrected. More detail about the correction appears in the Additional Notes. Aside from this change, we have left intact the text of the first eleven chapters. The second edition contains a twelfth chapter, written by David Griffeath, on Markov random fields. We are grateful to Ted Cox for his help in preparing this material. Notes for the chapter appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.

Reseña del editor

This textbook provides a systematic treatment of denumerable Markov chains, covering both the foundations of the subject and some in topics in potential theory and boundary theory. It is a discussion of relations among what might be called the descriptive quantities associated with Markov chains-probabilities of events and means of random variables that give insight into the behavior of the chains. The approach, by means of infinite matrices, simplifies the notation, shortens statements and proofs of theorems, and often suggests new results. This second edition includes the new chapter, Introduction to Random Fields, written by David Griffeath.

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Editorial
Springer
Año de publicación
1976
Idioma
Inglés
ISBN 10 
0387901779
ISBN 13 
9780387901770
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
500
Contacto del fabricante
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9781468494570: Denumerable Markov Chains: with a chapter of Markov Random Fields by David Griffeath: 40 (Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  1468494570 ISBN 13:  9781468494570
Editorial: Springer, 2012
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