Advanced Probability Theory

Probability Theory  eBooks & eLearning

Posted by AvaxGenius at Feb. 8, 2025
Probability Theory

Probability Theory by Alexandr A. Borovkov
English | PDF (True) | 2013 | 742 Pages | ISBN : 144715200X | 5.9 MB

This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent.

Probability Theory  eBooks & eLearning

Posted by AvaxGenius at Feb. 8, 2025
Probability Theory

Probability Theory by Alexandr A. Borovkov
English | PDF (True) | 2013 | 742 Pages | ISBN : 144715200X | 5.9 MB

This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent.

Advanced Probability Theory for Biomedical Engineers  eBooks & eLearning

Posted by roxul at July 23, 2022
Advanced Probability Theory for Biomedical Engineers

John D. Enderle, "Advanced Probability Theory for Biomedical Engineers "
English | ISBN: 1598291505 | 2006 | 108 pages | PDF | 1140 KB

Probability Theory: An Advanced Course  eBooks & eLearning

Posted by AvaxGenius at Oct. 21, 2022
Probability Theory: An Advanced Course

Probability Theory: An Advanced Course by Vivek S. Borkar
English | PDF | 1995 | 149 Pages | ISBN : 038794558X | 10.3 MB

This book presents a selection of topics from probability theory. Essentially, the topics chosen are those that are likely to be the most useful to someone planning to pursue research in the modern theory of stochastic processes. The prospective reader is assumed to have good mathematical maturity. In particular, he should have prior exposure to basic probability theory at the level of, say, K.L. Chung's 'Elementary probability theory with stochastic processes' (Springer-Verlag, 1974) and real and functional analysis at the level of Royden's 'Real analysis' (Macmillan, 1968).

Probability Theory: An Introductory Course  eBooks & eLearning

Posted by AvaxGenius at June 17, 2024
Probability Theory: An Introductory Course

Probability Theory: An Introductory Course by Yakov G. Sinai
English | PDF | 1992 | 148 Pages | ISBN : N/A | 9.8 MB

Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics.

Probability Theory: An Introductory Course  eBooks & eLearning

Posted by AvaxGenius at June 17, 2024
Probability Theory: An Introductory Course

Probability Theory: An Introductory Course by Yakov G. Sinai
English | PDF | 1992 | 148 Pages | ISBN : N/A | 9.8 MB

Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics.
Advanced Probability Theory for Biomedical Engineers (Synthesis Lectures on Biomedical Engineering) by John D. Enderle

Advanced Probability Theory for Biomedical Engineers (Synthesis Lectures on Biomedical Engineering) by John D. Enderle
English | Nov 10, 2006 | ISBN: 1598291505 | 108 Pages | PDF | 0.8 MB

This is the third in a series of short books on probability theory and random processes for biomedical engineers. This book focuses on standard probability distributions commonly encountered in biomedical engineering.

From Elementary Probability to Stochastic Differential Equations with MAPLE®  eBooks & eLearning

Posted by AvaxGenius at April 8, 2025
From Elementary Probability to Stochastic Differential Equations with MAPLE®

From Elementary Probability to Stochastic Differential Equations with MAPLE® by Sasha Cyganowski , Peter Kloeden , Jerzy Ombach
English | PDF (True) | 2002 | 323 Pages | ISBN : 3540426663 | 20.8 MB

Measure and integration wereonceconsidered,especially by many ofthe more practically inclined, to be an esoteric area ofabstract mathematics best left to pure mathematicians. However,it has become increasingly obvious in recent years that this area is now an indispensable, even unavoidable, language and provides a fundamental methodology for modern probability theory, stochas­ tic analysis and their applications, especially in financial mathematics. Our aim in writing this book is to provide a smooth and fast introduction to the language and basic results ofmodern probability theory and stochastic differential equations with help ofthe computer manipulator software package MAPLE. It is intended for advanced undergraduate students or graduates, not necessarily in mathematics, to provide an overviewand intuitive background for more advanced studies as wellas somepractical skillsin the use of MAPLE software in the context of probability and its applications. This book is not a conventional mathematics book. Like such books it provides precise definitions and mathematical statements, particularly those based on measure and integration theory, but instead ofmathematical proofs it uses numerous MAPLE experiments and examples to help the reader un­ derstand intuitively the ideas under discussion. The pace increases from ex­ tensive and detailed explanations in the first chapters to a more advanced presentation in the latter part of the book. The MAPLE is handled in a sim­ ilar way, at first with simple commands, then some simple procedures are gardually developed and, finally, the stochastic package is introduced.

Applied Probability (Repost)  eBooks & eLearning

Posted by AvaxGenius at Oct. 21, 2022
Applied Probability (Repost)

Applied Probability by Kenneth Lange
English | PDF | 2003 | 378 Pages | ISBN : 0387004254 | 4.3 MB

Despite the fears of university mathematics departments, mathematics educat,ion is growing rather than declining. But the truth of the matter is that the increases are occurring outside departments of mathematics. Engineers, computer scientists, physicists, chemists, economists, statis- cians, biologists, and even philosophers teach and learn a great deal of mathematics. The teaching is not always terribly rigorous, but it tends to be better motivated and better adapted to the needs of students. In my own experience teaching students of biostatistics and mathematical bi- ogy, I attempt to convey both the beauty and utility of probability.

Probability Theory: A First Course in Probability Theory and Statistics  eBooks & eLearning

Posted by Free butterfly at April 5, 2025
Probability Theory: A First Course in Probability Theory and Statistics

Probability Theory: A First Course in Probability Theory and Statistics by Werner Linde
English | October 24, 2016 | ISBN: 3110466171 | MOBI | 24 Mb