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Mathematical statistics --- Large deviations --- Grandes déviations --- Deviations, Large --- Limit theorems (Probability theory) --- Statistics --- Large deviations. --- Grandes déviations
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Probability theory --- Large deviations --- Grandes déviations --- Deviations, Large --- Limit theorems (Probability theory) --- Statistics --- Grandes déviations
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Large deviations
Probability theory --- Large deviations. --- Limit theorems (Probability theory) --- 519.21 --- 519.22 --- Large deviations --- Deviations, Large --- Statistics --- 519.22 Statistical theory. Statistical models. Mathematical statistics in general --- Statistical theory. Statistical models. Mathematical statistics in general --- 519.21 Probability theory. Stochastic processes --- Probability theory. Stochastic processes --- Probabilities
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Large deviations. --- Markov processes. --- Additive functions. --- Grandes déviations --- Markov, Processus de --- Fonctions additives --- Stochastic processes --- Additive functions --- Large deviations --- Markov processes --- 51 <082.1> --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Deviations, Large --- Limit theorems (Probability theory) --- Statistics --- Functions --- Mathematics--Series
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Ergodic theory. Information theory --- Central limit theorem --- Large deviations --- Markov processes --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Deviations, Large --- Limit theorems (Probability theory) --- Statistics --- Asymptotic distribution (Probability theory) --- Central limit theorem. --- Théorème de la limite centrale --- Markov processes. --- Markov, Processus de --- Large deviations. --- Grandes déviations --- Théorème de la limite centrale. --- Markov, Processus de. --- Grandes déviations.
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From the reviews: "... Besides the fact that the author's treatment of large deviations is a nice contribution to the literature on the subject, his book has the virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics. ... Furthermore, he does not make the mistake of assuming that his mathematical audience will be familiar with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985 "... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading ..." S. Pogosian in
Large deviations.
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Statistical mechanics.
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Entropy.
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Grandes déviations
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Mécanique statistique
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Entropie
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Electronic books. -- local.
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Large deviations
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Statistical mechanics
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Entropy
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Atomic Physics
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Mathematical Statistics
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Physics
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Mathematics
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Physical Sciences & Mathematics
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536.75
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531.19
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Entropy. Statistical thermodynamics. Irreversible processes
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531.19 Statistical mechanics
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536.75 Entropy. Statistical thermodynamics. Irreversible processes
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Deviations, Large
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Mathematics.
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System theory.
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Probabilities.
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Probability Theory and Stochastic Processes.
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Complex Systems.
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Statistical Physics and Dynamical Systems.
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Mechanics
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Mechanics, Analytic
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Quantum statistics
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Statistical physics
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Thermodynamics
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Limit theorems (Probability theory)
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Statistics
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Distribution (Probability theory.
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Statistical physics.
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Mathematical statistics
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Distribution functions
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Frequency distribution
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Characteristic functions
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Probabilities
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Statistical methods
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Dynamical systems.
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Dynamical systems
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Kinetics
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Force and energy
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Statics
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Probability
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Statistical inference
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Combinations
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Chance
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Least squares
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Risk
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Mathematical statistics --- Limit theorems (Probability theory) --- Fix-point estimation --- Asymptotic efficiencies (Statistics) --- Statistical hypothesis testing --- Large deviations --- Théorèmes limites (Théorie des probabilités) --- Estimation ponctuelle --- Tests d'hypothèses (Statistique) --- Grandes déviations --- Statistics --- Biometry --- Biométrie --- 519.2 --- Probability. Mathematical statistics --- 519.2 Probability. Mathematical statistics --- Théorèmes limites (Théorie des probabilités) --- Tests d'hypothèses (Statistique) --- Grandes déviations --- Biométrie
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Large deviations --- Limit theorems (Probability theory) --- Phase transformations (Statistical physics) --- Tunneling (Physics) --- Penetration probability --- Quantum mechanical tunneling --- Tunnel effect --- Electric conductivity --- Solids --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Probabilities --- Deviations, Large --- Statistics --- Effet tunnel --- Transitions de phases --- Théorèmes des limites (théorie des probabilités) --- Grandes déviations --- Effet tunnel. --- Transitions de phases. --- Grandes déviations.
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Differential geometry. Global analysis --- Operational research. Game theory --- Averaging method (Differential equations) --- Large deviations. --- Attractors (Mathematics) --- Differential equations --- Méthode des moyennes (Equations différentielles) --- Grandes déviations --- Attracteurs (Mathématiques) --- Equations différentielles --- Qualitative theory. --- Théorie qualitative --- 51 <082.1> --- Mathematics--Series --- Moyennes, Méthode des (équations différentielles) --- Attracteurs (mathématiques) --- Équations différentielles --- Large deviations --- Théorie qualitative. --- Qualitative theory --- Méthode des moyennes (Equations différentielles) --- Grandes déviations --- Attracteurs (Mathématiques) --- Equations différentielles --- Théorie qualitative --- Deviations, Large --- Limit theorems (Probability theory) --- Statistics --- 517.91 Differential equations --- Method of averaging (Differential equations) --- Differential equations, Nonlinear --- Attracting sets (Mathematics) --- Attractors of a dynamical system --- Dynamical system, Attractors of --- Sets, Attracting (Mathematics) --- Differentiable dynamical systems --- Numerical solutions --- 517.91 --- Grandes déviations. --- Numerical solutions&delete&
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Gaussian processes can be viewed as a far-reaching infinite-dimensional extension of classical normal random variables. Their theory presents a powerful range of tools for probabilistic modelling in various academic and technical domains such as Statistics, Forecasting, Finance, Information Transmission, Machine Learning - to mention just a few. The objective of these Briefs is to present a quick and condensed treatment of the core theory that a reader must understand in order to make his own independent contributions. The primary intended readership are PhD/Masters students and researchers working in pure or applied mathematics. The first chapters introduce essentials of the classical theory of Gaussian processes and measures with the core notions of reproducing kernel, integral representation, isoperimetric property, large deviation principle. The brevity being a priority for teaching and learning purposes, certain technical details and proofs are omitted. The later chapters touch important recent issues not sufficiently reflected in the literature, such as small deviations, expansions, and quantization of processes. In university teaching, one can build a one-semester advanced course upon these Briefs.
Gaussian processes. --- Gaussian processes --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Gaussian measures. --- Isoperimetric inequalities. --- Large deviations. --- Deviations, Large --- Measures, Gaussian --- Mathematics. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Math --- Science --- Limit theorems (Probability theory) --- Statistics --- Geometry, Plane --- Inequalities (Mathematics) --- Measure theory --- Distribution (Probability theory) --- Stochastic processes --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities
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