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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
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
Markov Random Fields and Their Applications
This book presents the basic ideas of the subject and its application to a wider audience. Topics covered includes: The Ising model, Markov fields on graphs, Finite lattices, Dynamic models, The tree model and Additional applications.
Author(s): Ross Kindermann and J. Laurie Snell
147 Pages
This note covers the following topics related to Probability: Kolmogorov’s axiomatization, Frequentism, Classical interpretation, Logical probability and Subjectivism.
Author(s): Branden Fitelson, Alan Hajek, and Ned Hall
30 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
Probability Theory The Logic of Science
This book is addressed to readers who are already familiar with applied mathematics at the advanced undergraduate level or preferably higher. Topics covered includes: Plausible Reasoning, Quantitative Rules, Elementary Sampling Theory, Elementary Hypothesis Testing, Queer Uses For Probability Theory, Elementary Parameter Estimation, Central, Gaussian Or Normal Distribution.
Author(s): E. T. Jaynes
95 Pages
A Compendium of Common Probability Distributions
This document describes the distributions available in Regress+ (v2.7).This Compendium supplies the formulas and parametrization as utilized in the software plus additional formulas, notes, etc.
Author(s): Michael P. McLaughlin
136 Pages
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Introduction to Probability pdf
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Lectures on Stochastic Analysis
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Introduction to Statistical Signal Processing Gray R.M. and Davisson L.D
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Probability Lecture Notes (Santos D pdf)
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