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A Modern Approach to Probability Theory
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ISBN: 9780817638078

Overview This book is intended as a textbook in probability for graduate students in math­ ematics and related areas such as statistics, economics, physics, and operations research. Proba… Mehr…

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A Modern Approach to Probability Theory Bert E. Fristedt Author
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ISBN: 9780817638078

Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from t… Mehr…

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ISBN: 9780817638078

Birkhäuser, 1996-12-23. Hardcover. New. New. In shrink wrap. Looks like an interesting title!, Birkhäuser, 1996-12-23, 6

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A Modern Approach to Probability Theory (Probability and Its Applications) - gebunden oder broschiert

1996, ISBN: 0817638075

[EAN: 9780817638078], Neubuch, [PU: Birkhäuser], Book is in NEW condition., Books

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A Modern Approach to Probability Theory - gebunden oder broschiert

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Details zum Buch
A Modern Approach to Probability Theory Bert E. Fristedt Author

Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications-Bayesian statistics, financial mathematics, information theory, tomography, and signal processing-appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.

Detailangaben zum Buch - A Modern Approach to Probability Theory Bert E. Fristedt Author


EAN (ISBN-13): 9780817638078
ISBN (ISBN-10): 0817638075
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: Birkh�user Boston Core >2 >T
780 Seiten
Gewicht: 1,315 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-07-17T15:43:03+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-05T18:40:53+02:00 (Berlin)
ISBN/EAN: 9780817638078

ISBN - alternative Schreibweisen:
0-8176-3807-5, 978-0-8176-3807-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: gray, bert, fristedt, lawrence, textbook cram101 reviews
Titel des Buches: modern approach probability theory, have never been modern, applications probability, guide study


Daten vom Verlag:

Autor/in: Bert E. Fristedt; Lawrence F. Gray
Titel: Probability and Its Applications; A Modern Approach to Probability Theory
Verlag: Birkhäuser; Birkhäuser Boston
758 Seiten
Erscheinungsjahr: 1996-12-23
Boston; MA; US
Sprache: Englisch
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
Available
XX, 758 p.

BB; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Algebra; Finite; Probability space; Probability theory; Random variable; Sage; Variable; Variance; bayesian statistics; calculus; function; mathematics; measure theory; theorem; Probability Theory; Stochastik; EA; BC

List of Tables * Preface * Part I: Probability Spaces, Random Variables, and Expectations * Probability Spaces * Random Variables * Distribution Functions * Expectations: Theory * Expectations: Applications * Calculating Probabilities and Measures * Measure Theory: Existence and Uniqueness * Integration Theory * Part 2: Independence and Sums * Stochastic Independence * Sums of Independent Random Variables * Random Walk * Theorems of A.S. Convergence * Characteristic Functions * Part 3: Convergence in Distribution * Convergence in Distribution on the Real Line * Distributional Limit Theorems for Partial Sums * Infinitely Divisible and Stable Distributions as Limits * Convergence in Distribution on Polish Spaces * The Invariance Principle and Brownian Motion * Part 4: Conditioning * Spaces of Random Variables * Conditional Probabilities * Construction of Random Sequences * Conditional Expectations * Part 5: Random Sequences * Martingales * Renewal Sequences * Time-homogeneous Markov Sequences * Exchangeable Sequences * Stationary Sequences * Part 6: Stochastic Processes * Point Processes * Diffusions and Stochastic Calculus * Applications of Stochastic Calculus * Part 7: Appendices * Appendix A. Notation and Usage of Terms * Appendix B. Metric Spaces * Appendix C. Topological Spaces * Appendix D. Riemann–Stieltjes Integration * Appendix E. Taylor Approximations, C-Valued Logarithms * Appendix F. Bibliography * Appendix G. Comments and Credits * Index
A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—now appear as threads in conjunction with the relevant mathematics. Bridges the gap between undergraduate and advanced graduate courses. The treatment of stochastic calculus has been expanded considerably. Numerous examples and over 1000 exercises, with a solutions manual for about 30%. Includes supplementary material: sn.pub/extras

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