Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deep
An Introduction to Probabilistic Modeling
β Scribed by Pierre BrΓ©maud (auth.)
- Publisher
- Springer-Verlag New York
- Year
- 1988
- Tongue
- English
- Leaves
- 221
- Series
- Undergraduate Texts in Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Introduction to the basic concepts of probability theory: independence, expectation, convergence in law and almost-sure convergence. Short expositions of more advanced topics such as Markov Chains, Stochastic Processes, Bayesian Decision Theory and Information Theory.
β¦ Table of Contents
Front Matter....Pages i-xvi
Basic Concepts and Elementary Models....Pages 1-45
Discrete Probability....Pages 46-84
Probability Densities....Pages 85-127
Gauss and Poisson....Pages 128-162
Convergences....Pages 163-192
Back Matter....Pages 193-208
β¦ Subjects
Probability Theory and Stochastic Processes
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A detailed and up-to-date introduction to machine learning, presented through the unifying lens of probabilistic modeling and Bayesian decision theory. This book offers a detailed and up-to-date introduction to machine learning (including deep learning) through the unifying lens of probabilistic