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6.436J / 15.085J Fundamentals of Probability, Fall 2005

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Show simple item record Tsitsiklis, John
dc.coverage.temporal Fall 2005 2012-10-05T05:54:28Z 2012-10-05T05:54:28Z 2005-12
dc.identifier 6.436J-Fall2005
dc.identifier.other 6.436J
dc.identifier.other 15.085J
dc.identifier.other IMSCP-MD5-21394ea8329d4a72ac876e99c7730a75
dc.description.abstract This is a course on the fundamentals of probability geared towards first or second-year graduate students who are interested in a rigorous development of the subject. The course covers most of the topics in MIT course 6.431 but at a faster pace and in more depth. Topics covered include: probability spaces and measures; discrete and continuous random variables; conditioning and independence; multivariate normal distribution; abstract integration, expectation, and related convergence results; moment generating and characteristic functions; Bernoulli and Poisson processes; finite-state Markov chains; convergence notions and their relations; and limit theorems. Familiarity with elementary notions in probability and real analysis is desirable. en
dc.language.iso en-US
dc.rights This site (c) Massachusetts Institute of Technology 2012. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. en
dc.subject Introduction to probability theory en
dc.subject Probability spaces and measures en
dc.subject Discrete and continuous random variables en
dc.subject Conditioning and independence en
dc.subject Multivariate normal distribution en
dc.subject Abstract integration en
dc.subject expectation en
dc.subject and related convergence results en
dc.subject Moment generating and characteristic functions en
dc.subject Bernoulli and Poisson process en
dc.subject Finite-state Markov chains en
dc.subject Convergence notions and their relations en
dc.subject Limit theorems en
dc.subject Familiarity with elementary notions in probability and real analysis is desirable en
dc.title 6.436J / 15.085J Fundamentals of Probability, Fall 2005 en
dc.title.alternative Fundamentals of Probability en
dc.audience.educationlevel Graduate
dc.subject.cip 270502 en
dc.subject.cip Mathematical Statistics and Probability en 2012-10-05T05:54:28Z

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