Probabilistic guarded commands and their refinement logic -- to pGCL: Its logic and its model -- Probabilistic loops: Invariants and variants -- Case studies in termination: Choice coordination, the dining philosophers, and the random walk -- Probabilistic data refinement: The steam boiler -- Semantic structures -- Theory for the demonic model -- The geometry of probabilistic programs -- Proved…
The Basic Symmetries -- Conditioning and Martingales -- Convergence and Approximation -- Predictable Sampling and Mapping -- Decoupling Identities -- Homogeneity and Reflections -- Symmetric Arrays -- Multi-variate Rotations -- Symmetric Measures in the Plane.This is the first comprehensive treatment of the three basic symmetries of probability theory—contractability, exchangeability, and rot…
Fundamentals -- Strongly Nonlinear Fokker-Planck Equations -- Free Energy Fokker-Planck Equations -- Free Energy Fokker-Planck Equations with Boltzmann Statistics -- Entropy Fokker-Planck Equations -- General Nonlinear Fokker-Planck Equations -- Epilogue.Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stat…
Fuzzy Sets -- The Operation of Fuzzy Set -- Fuzzy Relation and Composition -- Fuzzy Graph and Relation -- Fuzzy Number -- Fuzzy Function -- Probabilisy and Uncertainty -- Fuzzy Logic -- Fuzzy Inference -- Fuzzy Control and Fuzzy Expert Systems -- Fusion of Fuzzy System and Neural Networks -- Fusion of Fuzzy Systems and Genetic Algorithms.This basic textbook gives an easily accessible introducti…
Preface. 1. Introduction. 2. Preliminaries. 2.1. Notation. 2.2. Boolean Functions. 2.3. Decomposition of Boolean Functions. 2.4. Reduced Ordered Binary Decision Diagrams -- 3. Exact node Minimization. 3.1. Branch and Bound Algorithm. 3.2. A*-Based Optimization. 3.3. Summary -- 4. Heuristic node Minimization. 4.1. Efficient Dynamic Minimization. 4.2. Improved Lower Bounds for Dynamic Reordering.…
Basic Theory of Stochastic Optimization -- Convex Stochastic Programs -- Barycentric Approximation Scheme -- Extensions -- Applications in the Power Industry -- Conclusions.This work was completed during my tenure as a scientific assistant and d- toral student at the Institute for Operations Research at the University of St. Gallen. During that time, I was involved in several industry projects …
Background: Analysis of (s-1, s) and Order-Up-To Policies -- Background Concepts: An Introduction to the (s-1, s) Policy under Poisson and Compound Poisson Demand -- An Exact Model for a Depot-Base Two Echelon Inventory and Repair System -- Tactical Planning Models for Managing Recoverable Items -- A Continuous Time, Multi-Echelon, Multi-Item System with Time-Based Service Level Constraints -- …
Elements of Probability Theory -- Elements of Statistical Theory -- Applied Linear Regression -- Profile Analysis -- Discriminant Analysis -- Statistical Software -- Annotated Plasma Physical Datasets.Classical Methods of Statistics is a blend of theory and practical statistical methods written for graduate students and researchers interested in applications to plasma physics and its experiment…
Perspectives on Probability and Probability Education -- The Nature of Chance and Probability -- Towards "Probability Literacy" for all Citizens: Building Blocks and Instructional Dilemmas -- An Overview of Research into the Teaching and Learning of Probability -- Teaching and Learning Probability in the Elementary School -- Characteristics of Elementary School Students' Probabilistic Reasoning…
Measurement and the Rasch model -- Classical Test Theory -- Objective Measurement -- The Rasch Model Explained -- Applications of the Rasch Model — Tests and Competencies -- Monitoring Mathematics Achievement over Time -- Manual and Automatic Estimates of Growth and Gain Across Year Levels: How Close is Close? -- Japanese Language Learning and the Rasch Model -- Chinese Language Learning and …