Probability Theory First Steps

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Probability Theory

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Author : Elena Sergeevna Ventcel'
language : en
Publisher:
Release Date : 1986

Probability Theory written by Elena Sergeevna Ventcel' and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Probabilities categories.

Probability Theory First Steps

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Author : E. S. Wentzel
language : en
Publisher:
Release Date : 1982

Probability Theory First Steps written by E. S. Wentzel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Probabilities categories.

Probability Theory First Steps

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Author : Elena Sergeevna Venttsel
language : en
Publisher:
Release Date : 1982

Probability Theory First Steps written by Elena Sergeevna Venttsel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Probabilistic number theory categories.

First Steps In Random Walks

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Author : J. Klafter
language : en
Publisher: Oxford University Press
Release Date : 2011-08-18

First Steps In Random Walks written by J. Klafter and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Business & Economics categories.

Random walks proved to be a useful model of many complex transport processes at the micro and macroscopical level in physics and chemistry, economics, biology and other disciplines. The book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description.

Elementary Applications Of Probability Theory Second Edition

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Author : Henry C. Tuckwell
language : en
Publisher: CRC Press
Release Date : 1995-05-15

Elementary Applications Of Probability Theory Second Edition written by Henry C. Tuckwell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-15 with Mathematics categories.

This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

First Look At Rigorous Probability Theory A 2nd Edition

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Author : Jeffrey S Rosenthal
language : en
Publisher: World Scientific Publishing Company
Release Date : 2006-11-14

First Look At Rigorous Probability Theory A 2nd Edition written by Jeffrey S Rosenthal and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.

Foundations Of Modern Probability

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Author : Olav Kallenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-01-08

Foundations Of Modern Probability written by Olav Kallenberg 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 2002-01-08 with Mathematics categories.

The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

First Steps In Probability

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Author : Meyer Dwass
language : en
Publisher:
Release Date : 1967

First Steps In Probability written by Meyer Dwass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Probabilities categories.

Probability

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Author : Geoffrey Grimmett
language : en
Publisher: Oxford University Press, USA
Release Date : 2014

Probability written by Geoffrey Grimmett and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.

Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields. It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains. A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is enriched by simple exercises, together with problems (with very brief hints) many of which are taken from final examinations at Cambridge and Oxford. The first eight chapters form a course in basic probability, being an account of events, random variables, and distributions - discrete and continuous random variables are treated separately - together with simple versions of the law of large numbers and the central limit theorem. There is an account of moment generating functions and their applications. The following three chapters are about branching processes, random walks, and continuous-time random processes such as the Poisson process. The final chapter is a fairly extensive account of Markov chains in discrete time. This second edition develops the success of the first edition through an updated presentation, the extensive new chapter on Markov chains, and a number of new sections to ensure comprehensive coverage of the syllabi at major universities.

A First Look At Rigorous Probability Theory

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Author : Jeffrey S. Rosenthal
language : en
Publisher: World Scientific
Release Date : 2000

A First Look At Rigorous Probability Theory written by Jeffrey S. Rosenthal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This textbook is an introduction to rigorous probability theory using measure theory. It provides rigorous, complete proofs of all the essential introductory mathematical results of probability theory and measure theory. More advanced or specialized areas are entirely omitted or only hinted at. For example, the text includes a complete proof of the classical central limit theorem, including the necessary continuity theorem for characteristic functions, but the more general Lindeberg central limit theorem is only outlined and is not proved. Similarly, all necessary facts from measure theory are proved before they are used, but more abstract or advanced measure theory results are not included. Furthermore, measure theory is discussed as much as possible purely in terms of probability, as opposed to being treated as a separate subject which must be mastered before probability theory can be understood.