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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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Welcome to 6.041/6.431, a subject on the modeling and analysis of random phenomena and processes, including the basics of statistical inference. Nowadays, there is broad consensus that the ability to think probabilistically is a fundamental component of scientific literacy. For example: The concept of statistical significance (to be to
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- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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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 6.431 (sample space, random variables, expectations, transforms, Bernoulli and Poisson processes, finite Markov chains, limit theorems
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Tag(s):
- electrical engineering and computer science
- sample space
- random variables
- expectations
- transforms
- bernoulli process
- poisson process
- markov chains
- limit theorems
- measure theory
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Pages: 133
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
Published under: /Syllabus
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
Published under: /Syllabus
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: 6-041-fall-2010.zip
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: 6-436j-fall-2008.zip
This OER is part of OCW: Fundamentals of Probability
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Inherited Tag(s):
- electrical engineering and computer science
- sample space
- random variables
- expectations
- transforms
- bernoulli process
- poisson process
- markov chains
- limit theorems
- measure theory
File: MIT6_041F10_L02.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
Published under: /Lecture Notes
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L16.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L14.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L17.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L10.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L15.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L22.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L09.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L06.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L04.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
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Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
File: MIT6_041F10_L19.pdf
This OER is part of OCW: Probabilistic Systems Analysis and Applied Probability
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- electrical engineering and computer science
- probability
- probability models
- bayes rule
- discrete random variables
- continuous random variables
- bernoulli process
- poisson process
- markov chains
- central limit theorem
- statistical inference
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