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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
Lecture Notes for Introductory Probability
The contents include: Combinatorics, Axioms of Probability, Conditional Probability and Independence, Discrete Random Variables, Continuous Random Variables, Joint Distributions and Independence, More on Expectation and Limit Theorems, Convergence in probability, Moment generating functions, Computing probabilities and expectations by conditioning, Markov Chains: Introduction, Markov Chains: Classification of States, Branching processes, Markov Chains: Limiting Probabilities, Markov Chains: Reversibility, Three Application, Poisson Process.
Author(s): Janko Gravner, Mathematics Department, University of California
218 Pages
Lecture Notes Probability Theory
This book explains the following topics: Probability spaces, Random variables, Independence, Expectation, Convergence of sequences of random variables.
Author(s): Manuel Cabral Morais
275 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: Conditional expectation , Martingales , Stochastic integration-informally , Wiener process and Ito’s Formula.
Author(s): Ivan F Wilde
103 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
Probability, Random Processes, and Ergodic Properties
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Introduction to Probability pdf
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Lecture Notes on Probability Theory (Mrters P ps)
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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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