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• catalog contributor b11594933.
• catalog created "1999.".
• catalog date "1999".
• catalog date "1999.".
• catalog dateCopyrighted "1999.".
• catalog description "Ch. I. Sums of Independent Random Variables -- 1.1. Independence -- 1.2. The Weak Law of Large Numbers -- 1.3. Cramer's Theory of Large Deviations -- 1.4. The Strong Law of Large Numbers -- 1.5. Law of the Iterated Logarithm -- Ch. II. The Central Limit Theorem -- 2.1. The Theorems of Lindeberg and Berry-Esseen -- 2.2. Some Extensions of The Central Limit Theorem -- 2.3. An Application to Hermite Multipliers -- Ch. III. Convergence of Measures, Infinite Divisibility, and Processes with Independent Increments -- 3.1. Convergence of Probability Measures -- 3.2. Infinitely Divisible Laws -- 3.3. Wiener's Measure and the Invariance Principle -- Ch. IV. A Celebration of Wiener's Measure -- 4.1. Preliminary Results -- 4.2. Gaussian Aspects of Wiener's Measure -- 4.3. Markov Aspects of Wiener's Measure -- Ch. V. Conditioning and Martingales -- 5.1. Conditioning -- 5.2. Discrete Parameter Martingales -- 5.3. Some Extensions -- Ch. VI. Some Applications of Martingale Theory -- 6.1. The Individual Ergodic Theorem -- 6.2. Singular Integrals & Square Functions in Analysis -- 6.3. Burkholder's Inequality -- Ch. VII. Continuous Martingales and Elementary Diffusion Theory -- 7.1. Continuous Parameter Martingales -- 7.2. Properties of Wiener Paths -- 7.3. Perturbations of Wiener Paths -- 7.4. Elementary Ergodic Theory of Diffusions -- 7.5. Perturbations by Conservative Vector Fields -- Ch. VIII. A Little Classical Potential Theory -- 8.1. The Dirichlet Heat Kernel -- 8.2. The Dirichlet Problem -- 8.3. Poisson's Problem and Green's Functions -- 8.4. Green's Potentials, Riesz Decompositions, and Capacity.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "xv, 536 p. ;".
• catalog identifier "0521663490".
• catalog issued "1999".
• catalog issued "1999.".
• catalog language "eng".
• catalog publisher "Cambridge : Cambridge University Press,".
• catalog subject "519.2 21".
• catalog subject "Probabilities.".
• catalog subject "QA273 .S763 1999b".
• catalog tableOfContents "Ch. I. Sums of Independent Random Variables -- 1.1. Independence -- 1.2. The Weak Law of Large Numbers -- 1.3. Cramer's Theory of Large Deviations -- 1.4. The Strong Law of Large Numbers -- 1.5. Law of the Iterated Logarithm -- Ch. II. The Central Limit Theorem -- 2.1. The Theorems of Lindeberg and Berry-Esseen -- 2.2. Some Extensions of The Central Limit Theorem -- 2.3. An Application to Hermite Multipliers -- Ch. III. Convergence of Measures, Infinite Divisibility, and Processes with Independent Increments -- 3.1. Convergence of Probability Measures -- 3.2. Infinitely Divisible Laws -- 3.3. Wiener's Measure and the Invariance Principle -- Ch. IV. A Celebration of Wiener's Measure -- 4.1. Preliminary Results -- 4.2. Gaussian Aspects of Wiener's Measure -- 4.3. Markov Aspects of Wiener's Measure -- Ch. V. Conditioning and Martingales -- 5.1. Conditioning -- 5.2. Discrete Parameter Martingales -- 5.3. Some Extensions -- Ch. VI. Some Applications of Martingale Theory -- 6.1. The Individual Ergodic Theorem -- 6.2. Singular Integrals & Square Functions in Analysis -- 6.3. Burkholder's Inequality -- Ch. VII. Continuous Martingales and Elementary Diffusion Theory -- 7.1. Continuous Parameter Martingales -- 7.2. Properties of Wiener Paths -- 7.3. Perturbations of Wiener Paths -- 7.4. Elementary Ergodic Theory of Diffusions -- 7.5. Perturbations by Conservative Vector Fields -- Ch. VIII. A Little Classical Potential Theory -- 8.1. The Dirichlet Heat Kernel -- 8.2. The Dirichlet Problem -- 8.3. Poisson's Problem and Green's Functions -- 8.4. Green's Potentials, Riesz Decompositions, and Capacity.".
• catalog title "Probability theory : an analytic view.".
• catalog type "text".