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• catalog contributor b11271012.
• catalog created "c1999.".
• catalog date "1999".
• catalog date "c1999.".
• catalog dateCopyrighted "c1999.".
• catalog description "1. Probability Review -- 1. Basic Concepts -- 2. Independence and Conditional Probability -- 3. Expectation -- 4. Random Vectors -- 5. Transforms of Probability Distributions -- 6. Transformations of Random Vectors -- 7. Conditional Expectation of Discrete Variables -- 8. The Strong Law of Large Numbers -- 2. Discrete-Time Markov Models -- 1. The Transition Matrix -- 2. Markov Recurrences -- 3. First-Step Analysis -- 4. Topology of the Transition Matrix -- 5. Steady State -- 6. Time Reversal -- 7. Regeneration -- 3. Recurrence and Ergodicity -- 1. Potential Matrix Criterion -- 2. Recurrence and Invariant Measures -- 3. Positive Recurrence -- 4. Empirical Averages -- 4. Long Run Behavior -- 1. Coupling -- 2. Convergence to Steady State -- 3. Discrete-Time Renewal Theory -- 4. Regenerative Processes -- 5. Life Before Absorption -- 6. Absorption -- 5. Lyapunov Functions and Martingales -- 1. Lyapunov Functions -- 2. Martingales and Potentials -- 3. Applications of Martingales to HMCs -- 6. Eigenvalues and Nonhomogeneous Markov Chains -- 1. Finite Transition Matrices -- 2. Reversible Transition Matrices -- 3. Convergence Bounds Without Eigenvectors -- 4. Geometric Bounds -- 5. Probabilistic Bounds -- 6. Fundamental Matrix of Recurrent Chains -- 7. The Ergodic Coefficient -- 8. Nonhomogeneous Markov Chains -- 7. Gibbs Fields and Monte Carlo Simulation -- 1. Markov Random Fields -- 2. Gibbs-Markov Equivalence -- 3. Image Models -- 4. Bayesian Restoration of Images -- 5. Phase Transitions -- 6. Gibbs Sampler -- 7. Monte Carlo Markov Chain Simulation -- 8. Simulated Annealing -- 8. Continuous-Time Markov Models -- 1. Poisson Processes -- 2. Distribution of a continuous-Time HMC -- 3. Kolmogorov's Differential Systems -- 4. The Regenerative Structure -- 5. Recurrence -- 6. Long-Run Behavior -- 9. Poisson Calculus and Queues -- 1. Continuous-Time Markov Chains as Poisson Systems -- 2. Stochastic Calculus of Poisson Processes -- 3. Poisson Systems.".
• catalog description "4. Markovian Queuing Theory -- App. 1. Number Theory and Calculus -- App. 2. Linear Albebra -- App. 3. Probability.".
• catalog description "Includes bibliographical references (p.433-437) and index.".
• catalog extent "xviii, 444 p. :".
• catalog identifier "0387985093 (acid-free paper)".
• catalog isPartOf "Texts in applied mathematics ; 31".
• catalog issued "1999".
• catalog issued "c1999.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "519.2/33 21".
• catalog subject "Markov processes.".
• catalog subject "QA274.8 .B74 1998".
• catalog tableOfContents "1. Probability Review -- 1. Basic Concepts -- 2. Independence and Conditional Probability -- 3. Expectation -- 4. Random Vectors -- 5. Transforms of Probability Distributions -- 6. Transformations of Random Vectors -- 7. Conditional Expectation of Discrete Variables -- 8. The Strong Law of Large Numbers -- 2. Discrete-Time Markov Models -- 1. The Transition Matrix -- 2. Markov Recurrences -- 3. First-Step Analysis -- 4. Topology of the Transition Matrix -- 5. Steady State -- 6. Time Reversal -- 7. Regeneration -- 3. Recurrence and Ergodicity -- 1. Potential Matrix Criterion -- 2. Recurrence and Invariant Measures -- 3. Positive Recurrence -- 4. Empirical Averages -- 4. Long Run Behavior -- 1. Coupling -- 2. Convergence to Steady State -- 3. Discrete-Time Renewal Theory -- 4. Regenerative Processes -- 5. Life Before Absorption -- 6. Absorption -- 5. Lyapunov Functions and Martingales -- 1. Lyapunov Functions -- 2. Martingales and Potentials -- 3. Applications of Martingales to HMCs -- 6. Eigenvalues and Nonhomogeneous Markov Chains -- 1. Finite Transition Matrices -- 2. Reversible Transition Matrices -- 3. Convergence Bounds Without Eigenvectors -- 4. Geometric Bounds -- 5. Probabilistic Bounds -- 6. Fundamental Matrix of Recurrent Chains -- 7. The Ergodic Coefficient -- 8. Nonhomogeneous Markov Chains -- 7. Gibbs Fields and Monte Carlo Simulation -- 1. Markov Random Fields -- 2. Gibbs-Markov Equivalence -- 3. Image Models -- 4. Bayesian Restoration of Images -- 5. Phase Transitions -- 6. Gibbs Sampler -- 7. Monte Carlo Markov Chain Simulation -- 8. Simulated Annealing -- 8. Continuous-Time Markov Models -- 1. Poisson Processes -- 2. Distribution of a continuous-Time HMC -- 3. Kolmogorov's Differential Systems -- 4. The Regenerative Structure -- 5. Recurrence -- 6. Long-Run Behavior -- 9. Poisson Calculus and Queues -- 1. Continuous-Time Markov Chains as Poisson Systems -- 2. Stochastic Calculus of Poisson Processes -- 3. Poisson Systems.".
• catalog tableOfContents "4. Markovian Queuing Theory -- App. 1. Number Theory and Calculus -- App. 2. Linear Albebra -- App. 3. Probability.".
• catalog title "Markov chains : Gibbs fields, Monte Carlo simulation and queues / Pierre Brémaud.".
• catalog type "text".