Kohn's Proof of the Hypoellipticity of the Hörmander Operators -- Compactness Criteria for the Resolvent of Schrödinger Operators -- Global Pseudo-differential Calculus -- Analysis of some Fokker-Planck Operator -- Return to Equillibrium for the Fokker-Planck Operator -- Hypoellipticity and Nilpotent Groups -- Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts -- …
Tobacco smoke and involuntary smoking -- An Introduction to Epidemiology -- Concepts and Methodological Approaches in Epidemiology -- Basic Concepts -- Rates, Risks, Measures of Association and Impact -- Descriptive Studies -- Use of Disease Registers -- Cohort Studies -- Case-Control Studies -- Modern Epidemiologic Study Designs -- Intervention Trials -- Confounding and Interaction -- Epidemio…
Syntax -- How To Make a Pie -- Data -- Variables -- Algebra -- Scales -- Statistics -- Geometry -- Coordinates -- Aesthetics -- Facets -- Guides -- Semantics -- Space -- Time -- Uncertainty -- Analysis -- Control -- Automation -- Reader -- Coda.This book was written for statisticians, computer scientists, geographers, researchers, and others interested in visualizing data. It presents a unique …
to MuPAD -- Mathematical graphics with MuPAD -- to calculus of one variable -- Multivariable calculus -- Algebra with MuPAD -- Data visualization and elementary statistics -- A brief introduction to programming.The world of mathematics is probably one of the most fascinating creations of mankind. The world of mathematics with a Computer Algebra System, like MuPAD, is even more fascinating. With…
From the contents Plenary - Accounting for Geological Boundaries for Simulation in Geostatistical Modeling of Multiple Rock Types (P. Larrondo and C.V. Deutsch) -- Data Integration using the Probability Perturbation Method (J. Caers) -- Spectral Component Geologic Modeling: A New Technology for Integrating Seismic Information at the Correct Scale (T. Yao, C. Calvert, G. Bishop, T. Jones, Y. Ma …
Overview of Geometric Data Analysis (‘Overview’) -- Correspondence Analysis -- Euclidean Cloud -- Principal Component Analysis -- Multiple Correspondence Analysis (MCA) -- Structured Data Analysis -- Stability of a Euclidean Cloud -- Inductive Data Analysis -- Research Case Studies -- Mathematical Bases.Geometric Data Analysis (GDA) is the name suggested by P. Suppes (Stanford University) t…
Overview and Basic Facts -- Gaussian Processes and Related Structures -- Matching Theorems -- The Bernoulli Conjecture -- Families of distances -- Applications to Banach Space Theory.Author's Note: The material of this book has been reworked and expanded with a lot more detail and published in the author's 2014 book "Upper and Lower Bounds for Stochastic Processes" (Ergebnisse Vol. 60, ISBN 978…
Tools for exploring functional data -- From functional data to smooth functions -- Smoothing functional data by least squares -- Smoothing functional data with a roughness penalty -- Constrained functions -- The registration and display of functional data -- Principal components analysis for functional data -- Regularized principal components analysis -- Principal components analysis of mixed d…
Setting the Scene -- Regulatory Aspects in Using Surrogate Markers in Clinical Trials -- Notation and Motivating Studies -- The History of Surrogate Endpoint Validation -- Validation Using Single-trial Data: Mixed Binary and Continuous Outcomes -- A Meta-analytic Validation Framework for Continuous Outcomes -- The Choice of Units -- Extensions of the Meta-analytic Approach to Surrogate Endpoint…
Some Mathematical Tools -- Financial Time Series: Facts and Models -- Parameter Estimation: An Overview -- Quasi Maximum Likelihood Estimation in Conditionally Heteroscedastic Time Series Models: A Stochastic Recurrence Equations Approach -- Maximum Likelihood Estimation in Conditionally Heteroscedastic Time Series Models -- Quasi Maximum Likelihood Estimation in a Generalized Conditionally Het…