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The central theme of this monograph is Khinchin-type representation theorems. An abstract framework for unimodality, an example of applied functional analysis, is developed for the introd… Meer...

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Labor omnia vincit improbus. VIRGIL, Georgica I, 144-145. In the first part of his Theoria combinationis observationum erroribus min­ imis obnoxiae, published in 1821, Carl Friedrich… Meer...

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Unimodality of Probability Measures (Mathematics and Its Applications (closed)) (Mathematics and Its Applications (382), Band 382) - Bertin, Emile M.J.
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2010

ISBN: 9789048147694

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1997, 272 Seiten, Publiziert: 2010-12-06T00:00:01Z, Produktgruppe: Book, 0.93 kg, Verkaufsrang: 12168, Statistik, Na… Meer...

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2010, ISBN: 9789048147694

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Softcover reprint of hardcover 1st ed. 1997, Softcover, Buch, [PU: Springer]

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Unimodality of Probability Measures

The central theme of this monograph is Khinchin-type representation theorems. An abstract framework for unimodality, an example of applied functional analysis, is developed for the introduction of different types of unimodality and the study of their behaviour. Also, several useful consequences or ramifications tied to these notions are provided. Being neither an encyclopaedia, nor a historical overview, this book aims to serve as an understanding of the basic features of unimodality. Chapter 1 lays a foundation for the mathematical reasoning in the chapters following. Chapter 2 deals with the concept of Khinchin space, which leads to the introduction of beta-unimodality in Chapter 3. A discussion on several existing multivariate notions of unimodality concludes this chapter. Chapter 4 concerns Khinchin's classical unimodality, and Chapter 5 is devoted to discrete unimodality. Chapters 6 and 7 treat the concept of strong unimodality on R and to Ibragimov-type results characterising the probability measures which preserve unimodality by convolution, and the concept of slantedness, respectively. Most chapters end with comments, referring to historical aspects or supplying complementary information and open questions. A practical bibliography, as well as symbol, name and subject indices ensure efficient use of this volume. Audience: Both researchers and applied mathematicians in the field of unimodality will value this monograph, and it may be used in graduate courses or seminars on this subject too.

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EAN (ISBN-13): 9789048147694
ISBN (ISBN-10): 9048147697
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
272 Bladzijden
Gewicht: 0,415 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-12-20T21:08:31+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-08-18T19:19:36+02:00 (Amsterdam)
ISBN/EAN: 9789048147694

ISBN - alternatieve schrijfwijzen:
90-481-4769-7, 978-90-481-4769-4


Gegevens van de uitgever

Auteur: Emile M.J. Bertin; I. Cuculescu; Radu Theodorescu
Titel: Mathematics and Its Applications; Unimodality of Probability Measures
Uitgeverij: Springer; Springer Netherland
256 Bladzijden
Verschijningsjaar: 2010-12-06
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,454 kg
Taal: Engels
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Moment; convolution; functional analysis; probability; B; Probability Theory and Stochastic Processes; Statistics, general; Difference and Functional Equations; Probability Theory; Statistics; Difference and Functional Equations; Mathematics and Statistics; Stochastik; Wahrscheinlichkeitsrechnung und Statistik; Differentialrechnung und -gleichungen; BB

Preface. 1. Prelude. 2. Khinchin Structures. 3. Concepts of Unimodality. 4. Khinchin's Classical Unimodality. 5. Discrete Unimodality. 6. Strong Unimodality. 7. Positivity of Functional Moments. Bibliography. Symbol Index. Name Index. Subject Index.

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