Probability Theory: An Advanced Course
- ISBN-10
- 1461207916
- ISBN-13
- 9781461207917
- Series
- Probability Theory
- Category
- Mathematics
- Pages
- 138
- Language
- English
- Published
- 2012-12-06
- Publisher
- Springer Science & Business Media
- Author
- Vivek S. Borkar
Description
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). The first chapter is a rapid overview of the basics. Each subsequent chapter deals with a separate topic in detail. There is clearly some selection involved and therefore many omissions, but that cannot be helped in a book of this size. The style is deliberately terse to enforce active learning. Thus several tidbits of deduction are left to the reader as labelled exercises in the main text of each chapter. In addition, there are supplementary exercises at the end. In the preface to his classic text on probability ('Probability', Addison Wesley, 1968), Leo Breiman speaks of the right and left hands of probability.
Get the book
Other editions
-
- 2013-03-09
- 140 pages
- Ebook
- Springer Science & Business Media
-
- 2012-12-06
- 467 pages
- Ebook
- Springer Science & Business Media
-
- 2007-12-31
- 621 pages
- Ebook
- Springer Science & Business Media
-
- 2001-06-30
- 222 pages
- Paperback
- Springer Science & Business Media
Similar books
-
Integral Geometry and Tomography: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Held June 24-30, 1989, with Support from the...
By Eric Grinberg, Eric Todd QuintoIn Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...
-
Ordinary Differential Equations and Linear Algebra: A Systems Approach
By Todd Kapitula... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
-
Cognition and Intractability: A Guide to Classical and Parameterized Complexity Analysis
By Iris van Rooij, Mark Blokpoel, Johan Kwisthoutx,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.
-
Mymathlab -- Standalone Access Card
By Pearson Education, David P Pearson Education, Hall H Pearson EducationSeveral versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.
-
Mymathlab Student Acc Kit + Intro Alg Wrkshts
By Inc. Pearson EducationMymathlab Student Acc Kit + Intro Alg Wrkshts
-
Pearson Mathematics 7: H.P
By Pearson Education Australia StaffPearson Mathematics homework program for Year 7 provides tear-out sheets which correspond with student book sections, providing systematic and cumulative skills revision of basic skills and current class topics in the form of take-home ...
-
Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
By Addison-WesleyWorksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
-
Pearson Mathematics New South Wales 8 Student Book: Australian Curriculum
By Pearson Education Australia Staff, Gael McLeod, David CoffeyThe Student Book provides an easy-to-use 'nuts and bolts' book at each year level.
-
Matrix Iterative Analysis
By Richard S. Varga... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...
-
Mathematical Modelling: Education, Engineering and Economics - ICTMA 12
By C Haines, P Galbraith, W BlumTodd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...