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Probability theory
Authors: ---
ISBN: 9780521592710 9780511790423 0521592712 Year: 2003 Publisher: Cambridge Cambridge University Press

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Abstract

The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between "probability theory" and "statistical inference", leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.


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Reliability engineering
Authors: ---
ISBN: 9781118140673 Year: 2014 Publisher: Hoboken, New Jersey : Wiley,

Engineering reliability : new techniques and applications.
Authors: ---
ISBN: 0471050148 Year: 1981 Publisher: New York (N.Y.) Wiley


Book
Machine learning : a probabilistic perspective
Author:
ISBN: 9780262018029 0262018020 0262305240 0262304325 9780262305242 9780262304320 Year: 2012 Publisher: Cambridge MIT Press

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Today's Web-enabled deluge of electronic data calls for automated methods of data analysis. Machine learning provides these, developing methods that can automatically detect patterns in data and then use the uncovered patterns to predict future data. This textbook offers a comprehensive and self-contained introduction to the field of machine learning, based on a unified, probabilistic approach. The coverage combines breadth and depth, offering necessary background material on such topics as probability, optimization, and linear algebra as well as discussion of recent developments in the field, including conditional random fields, L1 regularization, and deep learning. The book is written in an informal, accessible style, complete with pseudo-code for the most important algorithms. All topics are copiously illustrated with color images and worked examples drawn from such application domains as biology, text processing, computer vision, and robotics. Rather than providing a cookbook of different heuristic methods, the book stresses a principled model-based approach, often using the language of graphical models to specify models in a concise and intuitive way. Almost all the models described have been implemented in a MATLAB software package--PMTK (probabilistic modeling toolkit)--that is freely available online. The book is suitable for upper-level undergraduates with an introductory-level college math background and beginning graduate students.

Atomic radiative processes
Author:
ISBN: 0122620208 0323157513 129936506X Year: 1982 Volume: 42 Publisher: New York : Academic Press,

Reliability engineering and risk analysis : a practical guide.
Authors: --- ---
ISBN: 0824720008 Year: 1999 Publisher: New York (N.Y.) Dekker

Stochastic differential equations : an introduction with applications
Author:
ISBN: 3540047581 9783540047582 3642143946 9783642143946 Year: 2007 Publisher: New York: Springer,

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Keywords

Stochastic differential equations. --- 519.216 --- 517.9 --- Stochastic differential equations --- 681.3*H35 --- 681.3*H1 --- 681.3*H1 Models and principles (Information systems) --- Models and principles (Information systems) --- 681.3*H35 On-line information services: data bank sharing --- On-line information services: data bank sharing --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 519.216 Stochastic processes in general. Prediction theory. Stopping times. Martingales --- Stochastic processes in general. Prediction theory. Stopping times. Martingales --- 519.2 --- Differential equations --- Fokker-Planck equation --- Mathematical analysis. --- Analysis (Mathematics). --- Probabilities. --- Mathematical physics. --- System theory. --- Calculus of variations. --- Partial differential equations. --- Analysis. --- Probability Theory and Stochastic Processes. --- Theoretical, Mathematical and Computational Physics. --- Systems Theory, Control. --- Calculus of Variations and Optimal Control; Optimization. --- Partial Differential Equations. --- Partial differential equations --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Systems, Theory of --- Systems science --- Science --- Physical mathematics --- Physics --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- 517.1 Mathematical analysis --- Mathematical analysis --- Philosophy --- Physics. --- Mathematics. --- System theory --- Math --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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