It seems that you're in Germany. We have a dedicated site for Germany. Authors: Jacod , Jean, Protter , Philip. We present here a one-semester course on Probability Theory. We also treat measure theory and Lebesgue integration, concentrating on those aspects which are especially germane to the study of Probability Theory. Chapters provide such a course.
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It seems that you're in Germany. We have a dedicated site for Germany. Authors: Jacod , Jean, Protter , Philip. We present here a one-semester course on Probability Theory. We also treat measure theory and Lebesgue integration, concentrating on those aspects which are especially germane to the study of Probability Theory.
Chapters provide such a course. We have indulged ourselves a bit by including Chapters which are highly optional, but which may prove useful to Economists and Electrical Engineers. This book had its origins in a course the second author gave in Perugia, Italy, in ; he used the samizdat "notes" of the first author, long used for courses at the University of Paris VI, augmenting them as needed. The result has been further tested at courses given at Purdue University.
We thank the indulgence and patience of the students both in Perugia and in West Lafayette. We also thank our editor Catriona Byrne, as weil as Nick Bingham for many superb suggestions, an anonymaus referee for the same, and Judy Mitchell for her extraordinary typing skills. The topis are treated in a mathematically and pedagogically digestible way. The writing is concise and crisp: the average chapter length is about eight pages. Numerous exercises add to the value of the text as a teaching tool.
In conclusion, this is an excellent text for the intended audience. It will also be useful for students and teachers in related areas such as finance theory economics , electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters. The second part … covers martingales, super- and submartingales, martingale convergence theorems, and the Radon-Nykodym Theorem, which might prove useful for students of economic and electrical engineering.
Mathematics Probability Theory and Stochastic Processes. Universitext Free Preview. Show next edition. In the words of one reviewer: "Normally graduate students need two books, one on measure theory and one on probability theory. This book contains most of the essentials of both fields and students can go on directly to Oksendal's book on SDE theory.
I would personally recommend it to my students. In my eyes this book is, in this respect, a small gold mine. Buy eBook. FAQ Policy. About this Textbook We present here a one-semester course on Probability Theory. Show all. Table of contents 28 chapters Table of contents 28 chapters Introduction Pages Jacod, Jean et al.
Axioms of Probability Pages Jacod, Jean et al. Random Variables Pages Jacod, Jean et al. Characteristic Functions Pages Jacod, Jean et al.
Weak Convergence Pages Jacod, Jean et al. Conditional Expectation Pages Jacod, Jean et al. Martingales Pages Jacod, Jean et al.
Supermartingales and Submartingales Pages Jacod, Jean et al. Martingale Inequalities Pages Jacod, Jean et al. Show next xx. Recommended for you. PAGE 1.