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Wahrscheinlichkeitstheorie


Wahrscheinlichkeitstheorie
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Coding Theorems Of Information Theory


Coding Theorems Of Information Theory
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Author : Jacob Wolfowitz
language : en
Publisher: Springer
Release Date : 1961

Coding Theorems Of Information Theory written by Jacob Wolfowitz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Computers categories.


The imminent exhaustion of the first printing of this monograph and the kind willingness of the publishers have presented me with the opportunity to correct a few minor misprints and to make a number of additions to the first edition. Some of these additions are in the form of remarks scattered throughout the monograph. The principal additions are Chapter 11, most of Section 6. 6 (inc1uding Theorem 6. 6. 2), Sections 6. 7, 7. 7, and 4. 9. It has been impossible to inc1ude all the novel and inter℗Ư esting results which have appeared in the last three years. I hope to inc1ude these in a new edition or a new monograph, to be written in a few years when the main new currents of research are more clearly visible. There are now several instances where, in the first edition, only a weak converse was proved, and, in the present edition, the proof of a strong converse is given. Where the proof of the weaker theorem em℗Ư ploys a method of general application and interest it has been retained and is given along with the proof of the stronger result. This is wholly in accord with the purpose of the present monograph, which is not only to prove the principal coding theorems but also, while doing so, to acquaint the reader with the most fruitful and interesting ideas and methods used in the theory. I am indebted to Dr.



Limit Theorems Of Probability Theory


Limit Theorems Of Probability Theory
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Author : Yu.V. Prokhorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Limit Theorems Of Probability Theory written by Yu.V. Prokhorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.



Wahrscheinlichkeitstheorie


Wahrscheinlichkeitstheorie
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Author : Peter Gänssler
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-07

Wahrscheinlichkeitstheorie written by Peter Gänssler and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.




Einf Hrung In Die Wahrscheinlichkeitstheorie Und Statistik


Einf Hrung In Die Wahrscheinlichkeitstheorie Und Statistik
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Author : Ulrich Krengel
language : de
Publisher: Springer-Verlag
Release Date : 2013-09-03

Einf Hrung In Die Wahrscheinlichkeitstheorie Und Statistik written by Ulrich Krengel and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Mathematics categories.


Dieses Lehrbuch liegt nun in der 6. verbesserten Auflage vor und wendet sich an alle, die - ausgestattet mit Grundkenntnissen der Differential- und Intergralrechnung und der linearen Algebra - in die Ideenwelt der Stochastik eindringen möchten. Stochastik ist die Mathematik des Zufalls. Sie ist von größter Bedeutung für die Berufspraxis der Mathematiker. An vielen Schulen hat sie ihren festen Platz gefunden. Die beiden Hauptgebiete der Stochastik sind Wahrscheinlichkeitstheorie und Statistik.



Algebraic Probability Theory


Algebraic Probability Theory
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Author : Imre Ruzsa
language : en
Publisher:
Release Date : 1988-11-28

Algebraic Probability Theory written by Imre Ruzsa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-28 with Mathematics categories.


A large part of probability theory is the study of operations on, and convergence of, probability distributions. The most frequently used operations turn the set of distributions into a semigroup. A considerable part of probability theory can be expressed, proved, sometimes even understood in terms of the abstract theory of topological semigroups. The authors 'algebraic probability theory' is a field where problems stem mainly from probability theory, have an arithmetical flair and are often dressed in terms of algebra, while the tools employed frequently belong to the theory of (complex) functions and abstract harmonic analysis. It lies at the cross-roads of numerous mathematical theories, and should serve as a catalyst to further research.



Problems In Probability


Problems In Probability
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Author : T. M. Mills
language : en
Publisher: World Scientific
Release Date : 2001

Problems In Probability written by T. M. Mills and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


Probability theory is an important part of contemporary mathematics. It plays a key role in the insurance industry, in the modelling of financial markets, and in statistics generally ? including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics). The 20th century has been an important period for the subject, because we have witnessed the development of a solid mathematical basis for the study of probability, especially from the Russian school of probability under the leadership of A N Kolmogorov. We have also seen many new applications of probability ? from applications of stochastic calculus in the financial industry to Internet gambling. At the beginning of the 21st century, the subject offers plenty of scope for theoretical developments, modern applications and computational problems. There is something for everyone in probability The notes and problems in this book have been designed to provide a basis for a series of lectures suitable for advanced undergraduate students on the subject of probability. Through problem solving, students can experience the excitement associated with probability. This activity will help them to develop their problem-solving skills, which are so valuable in today's world. The problems in the book will introduce the student to some famous works and workers in probability and convey the historical, classical and contemporary aspects of probability. A key feature of the book is that many problems are in fact small guided research projects. The research work involved in solving the problems will enhance the student's library research skills.



Wahrscheinlichkeitstheorie Und Grundz Ge Der Ma Theorie


Wahrscheinlichkeitstheorie Und Grundz Ge Der Ma Theorie
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Author : Heinz Bauer
language : de
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-01-14

Wahrscheinlichkeitstheorie Und Grundz Ge Der Ma Theorie written by Heinz Bauer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-14 with Mathematics categories.


Keine ausführliche Beschreibung für "Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie" verfügbar.



Wahrscheinlichkeitstheorie


Wahrscheinlichkeitstheorie
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Author : Hans Richter
language : de
Publisher: Springer-Verlag
Release Date : 2013-04-17

Wahrscheinlichkeitstheorie written by Hans Richter and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Die Wahrscheinlichkeitstheorie ist ein relativ junges Teilgebiet der Mathematik, das eigentlich erst in den letzten Jahrzehnten durch die Verwendung maBtheoretischer Begriffsbildungen eine befriedigende For mulierung gefunden hat. So darf man den Beginn der modernen Wahr scheinlichkeitsrechnung wohl urn die Zeit des 1933 erschienenen Heftes "Grundbegriffe der Wahrscheinlichkeitsrechnung" von A. KOLMOGOROFF in der Reihe "Ergebnisse der Mathematik und ihrer Grenzgebiete" an setzen. Seitdemhat man nicht nur gelernt, die verschiedenen klassischen Ergebnisse von einem einheitlichen Gesichtspunkt aus zu verstehen; sondern viele Probleme konnten uberhaupt erst durch die Verwendung der maBtheoretischen Hilfsmittel in der erforderlichen Allgemeinheit formuliert und behandelt werden. Ich denke hier vor allem an die Theorie der stochastischen Prozesse, an die Spieltheorie und an die Theorie der statistischen Entscheidungsverfahren. Die im deutsch sprachigen Schrifttum vorliegenden Lehrbucher der Wahrscheinlich keitsrechnung sind, abgesehen von einigen kleineren Einfiihrungen in die klassische Theorie, vor dem Beginn der neuen Entwicklung verfaBt worden. Sie k6nnen daher den heutigen Anspruchen nicht mehr ge nugen. Den Studenten und auch den Dozenten ist es damit sehr schwer gemacht, den Vorsprung wieder einzuholen, den die auslandische Wissen schaft in der Wahrscheinlichkeitsrechnung und in ihren Anwendungs gebieten gerade in den entscheidenden Jahren nach 1933 gewonnen hat. Hier liegt also eine Lucke vor, die ich versuchen will, durch dieses Lehr buch etwas auszufullen. Ohne die klassische Theorie zu sehr zu ver nachlassigen, m6chte ich den Leser soweit in die heutige Wahrschein lichkeitstheorie einfuhren, daB er in der Lage ist, auch schwierigere Untersuchungen zu studieren.



Wahrscheinlichkeitstheorie


Wahrscheinlichkeitstheorie
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Author : Achim Klenke
language : de
Publisher: Springer-Verlag
Release Date : 2008-02-23

Wahrscheinlichkeitstheorie written by Achim Klenke and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-23 with Mathematics categories.


Dieses Lehrbuch bietet eine umfassende Einführung in die wichtigsten Gebiete der Wahrscheinlichkeitstheorie und ihre maßtheoretischen Grundlagen. Breite und Auswahl der Themen sind einmalig in der deutschsprachigen Literatur. Die 250 Übungsaufgaben und zahlreichen Abbildungen helfen Lesern den Lernstoff zu vertiefen. Themenschwerpunkte sind u. a. die Maß- und Integrationstheorie, Grenzwertsätze für Summen von Zufallsvariablen, Martingale, Perkolation, Markovketten und elektrische Netzwerke sowie die Konstruktion stochastischer Prozesse.



Elementare Wahrscheinlichkeitstheorie Und Stochastische Prozesse


Elementare Wahrscheinlichkeitstheorie Und Stochastische Prozesse
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Author : Kai L. Chung
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-07

Elementare Wahrscheinlichkeitstheorie Und Stochastische Prozesse written by Kai L. Chung and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.


Aus den Besprechungen: "Unter den zahlreichen Einführungen in die Wahrscheinlichkeitsrechnung bildet dieses Buch eine erfreuliche Ausnahme. Der Stil einer lebendigen Vorlesung ist über Niederschrift und Übersetzung hinweg erhalten geblieben. In jedes Kapitel wird sehr anschaulich eingeführt. Sinn und Nützlichkeit der mathematischen Formulierungen werden den Lesern nahegebracht. Die wichtigsten Zusammenhänge sind als mathematische Sätze klar formuliert." #FREQUENZ#1