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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
Probability Theory and Statistics Lecture notes
The aim of the notes is to combine the mathematical and theoretical underpinning of statistics and statistical data analysis with computational methodology and practical applications. Topics covered includes: Notion of probabilities, Probability Theory, Statistical models and inference, Mean and Variance, Sets, Combinatorics, Limits and infinite sums, Integration.
Author(s): Niels Richard Hansen
294 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: Laws Of Probability, Methodology, Expectation, Decision, Probabilism and Induction.
Author(s): Richard Jeffrey
NA 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
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
A quick refresher for Counting techniques and Probability
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Introduction to probability and random processes
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Introduction to Probability pdf
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Markov Chains and Stochastic Stability
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Introduction to Statistical Signal Processing Gray R.M. and Davisson L.D
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