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Basic probability theory
This note explains the following topics: events and probabilities, Combining events, Conditional probabilities, independence and bayes rule, Random variables and discrete distributions, Expectation and variance, Continuous random variables.
Author(s): Sharon Goldwater, University of Edinburgh
34 Pages 
Probability Theory Lecture Notes by Phanuel Mariano
The contents include: Combinatorics, Axioms of Probability, Independence, Conditional Probability and Independence, Random Variables, Some Discrete Distributions, Continuous Random Variable, Normal Distributions, Normal approximations to the binomial, Some continuous distributions, Multivariate distributions, Expectations, Moment generating functions, Limit Laws.
Author(s): Phanuel Mariano
98 Pages
Introduction to Probability Theory and Statistics
This note covers the following topics: Probability, Random variables, Random Vectors, Expected Values, The precision of the arithmetic mean, Introduction to Statistical Hypothesis Testing, Introduction to Classic Statistical Tests, Intro to Experimental Design, Experiments with 2 groups, Factorial Experiments, Confidence Intervals.
Author(s): Javier R. Movellan
127 Pages
Notes on Probability Theory and Statistics
This note explains the following topics: Probability Theory, Random Variables, Distribution Functions, And Densities, Expectations And Moments Of Random Variables, Parametric Univariate Distributions, Sampling Theory, Point And Interval Estimation, Hypothesis Testing, Statistical Inference, Asymptotic Theory, Likelihood Function, Neyman or Ratio of the Likelihoods Tests.
Author(s): Antonis Demos
138 Pages
These notes are intended to give a solid introduction to Probability Theory with a reasonable level of mathematical rigor. Topics covered includes: Elementary probability, Discrete-time finite state Markov chains, Existence of Markov Chains, Discrete-time Markov chains with countable state space, Probability triples, Limit Theorems for stochastic sequences, Moment Generating Function, The Central Limit Theorem, Measure Theory and Applications.
Author(s): Christopher King
124 Pages
This note covers the following topics related to Probability: Laws Of Probability, Methodology, Expectation, Decision, Probabilism and Induction.
Author(s): Richard Jeffrey
NA Pages
Probability and Stochastic Processes with Applications
This text assumes no prerequisites in probability, a basic exposure to calculus and linear algebra is necessary. Some real analysis as well as some background in topology and functional analysis can be helpful. This note covers the following topics: Limit theorems, Probability spaces, random variables, independence, Markov operators, Discrete Stochastic Processes, Continuous Stochastic Processes, Random Jacobi matrices, Symmetric Diophantine Equations and Vlasov dynamics.
Author(s): Oliver Knill
382 Pages
Introduction to Probability clark edu
This note provides an introduction to probability theory and mathematical statistics that emphasizes the probabilistic foundations required to understand probability models and statistical methods. Topics covered includes the probability axioms, basic combinatorics, discrete and continuous random variables, probability distributions, mathematical expectation, common families of probability distributions and the central limit theorem.
Author(s): Prof. D. Joyce
NA Pages
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Author(s): NA
NA Pages
A quick refresher for Counting techniques and Probability
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Author(s): NA
NA Pages
MEASURE INTEGRATION PROBABILITY
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Author(s): NA
NA Pages
Lectures on Stochastic Analysis
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Author(s): NA
NA Pages
Markov Chains and Stochastic Stability
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Introduction to Statistical Signal Processing Gray R.M. and Davisson L.D
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Author(s): NA
NA Pages
Lecture Notes on Probability Theory and Random Processes (Walrand J pdf)
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Author(s): NA
NA Pages
Probability Lecture Notes (Santos D pdf)
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Author(s): NA
NA Pages