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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
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
Probability and Stochastic Processes
This book covers the following topics: Basic Concepts of Probability Theory, Random Variables, Multiple Random Variables, Vector Random Variables, Sums of Random Variables and Long-Term Averages, Random Processes, Analysis and Processing of Random Signals, Markov Chains, Introduction to Queueing Theory and Elements of a Queueing System.
Author(s): Dongyu Qiu
NA 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
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
Lecture Notes on Probability Theory and Random Processes
The goal to to help the student figure out the meaning of various concepts in Probability Theory and to illustrate them with examples. Topics covered includes: Modelling Uncertainty, Probability Space, Conditional Probability and Independence, Random Variable, Conditional Expectation, Gaussian Random Variables, Limits of Random Variables, Filtering Noise and Markov Chains
Author(s): Jean Walrand
302 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
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
Grinstead and Snells Introduction to Probability
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Author(s): NA
NA Pages
MEASURE INTEGRATION PROBABILITY
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NA Pages
Introduction to probability and random processes
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NA Pages
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Lecture Notes on Probability Theory and Random Processes (Walrand J pdf)
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Probability Lecture Notes (Santos D pdf)
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