Association And Dependence With Applications To The Parabolic Anderson Model
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The Parabolic Anderson Model
Author | : Wolfgang König |
Publisher | : Birkhäuser |
Total Pages | : 199 |
Release | : 2016-06-30 |
Genre | : Mathematics |
ISBN | : 3319335960 |
This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.). We explain the background, the applications, the questions and the connections with other models and formulate the most relevant results on the long-time behavior of the solution, like quenched and annealed asymptotics for the total mass, intermittency, confinement and concentration properties and mass flow. Furthermore, we explain the most successful proof methods and give a list of open research problems. Proofs are not detailed, but concisely outlined and commented; the formulations of some theorems are slightly simplified for better comprehension.
Parabolic Anderson Problem and Intermittency
Author | : René Carmona |
Publisher | : American Mathematical Soc. |
Total Pages | : 138 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0821825771 |
This book is devoted to the analysis of the large time asymptotics of the solutions of the heat equation in a random time-dependent potential. The authors give complete results in the discrete case of the d-dimensional lattice when the potential is, at each site, a Brownian motion in time. The phenomenon of intermittency of the solutions is discussed.
An Introduction to Categorical Data Analysis
Author | : Alan Agresti |
Publisher | : John Wiley & Sons |
Total Pages | : 400 |
Release | : 2018-10-11 |
Genre | : Mathematics |
ISBN | : 1119405270 |
A valuable new edition of a standard reference The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data. Adding to the value in the new edition is: • Illustrations of the use of R software to perform all the analyses in the book • A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis • New sections in many chapters introducing the Bayesian approach for the methods of that chapter • More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets • An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more. An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.
Current Index to Statistics, Applications, Methods and Theory
Author | : |
Publisher | : |
Total Pages | : 948 |
Release | : 1999 |
Genre | : Mathematical statistics |
ISBN | : |
The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.
Fitting Models to Biological Data Using Linear and Nonlinear Regression
Author | : Harvey Motulsky |
Publisher | : Oxford University Press |
Total Pages | : 352 |
Release | : 2004-05-27 |
Genre | : Mathematics |
ISBN | : 9780198038344 |
Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.
Ecological Models and Data in R
Author | : Benjamin M. Bolker |
Publisher | : Princeton University Press |
Total Pages | : 408 |
Release | : 2008-07-21 |
Genre | : Computers |
ISBN | : 0691125228 |
Introduction and background; Exploratory data analysis and graphics; Deterministic functions for ecological modeling; Probability and stochastic distributions for ecological modeling; Stochatsic simulation and power analysis; Likelihood and all that; Optimization and all that; Likelihood examples; Standar statistics revisited; Modeling variance; Dynamic models.
The Malliavin Calculus and Related Topics
Author | : David Nualart |
Publisher | : Springer Science & Business Media |
Total Pages | : 273 |
Release | : 2013-12-11 |
Genre | : Mathematics |
ISBN | : 1475724373 |
The origin of this book lies in an invitation to give a series of lectures on Malliavin calculus at the Probability Seminar of Venezuela, in April 1985. The contents of these lectures were published in Spanish in [176]. Later these notes were completed and improved in two courses on Malliavin cal culus given at the University of California at Irvine in 1986 and at Ecole Polytechnique Federale de Lausanne in 1989. The contents of these courses correspond to the material presented in Chapters 1 and 2 of this book. Chapter 3 deals with the anticipating stochastic calculus and it was de veloped from our collaboration with Moshe Zakai and Etienne Pardoux. The series of lectures given at the Eighth Chilean Winter School in Prob ability and Statistics, at Santiago de Chile, in July 1989, allowed us to write a pedagogical approach to the anticipating calculus which is the basis of Chapter 3. Chapter 4 deals with the nonlinear transformations of the Wiener measure and their applications to the study of the Markov property for solutions to stochastic differential equations with boundary conditions.
A Practical Guide to Trade Policy Analysis
Author | : Marc Bacchetta |
Publisher | : |
Total Pages | : 0 |
Release | : 2012 |
Genre | : Political Science |
ISBN | : 9789287038128 |
Trade flows and trade policies need to be properly quantified to describe, compare, or follow the evolution of policies between sectors or countries or over time. This is essential to ensure that policy choices are made with an appropriate knowledge of the real conditions. This practical guide introduces the main techniques of trade and trade policy data analysis. It shows how to develop the main indexes used to analyze trade flows, tariff structures, and non-tariff measures. It presents the databases needed to construct these indexes as well as the challenges faced in collecting and processing these data, such as measurement errors or aggregation bias. Written by experts with practical experience in the field, A Practical Guide to Trade Policy Analysis has been developed to contribute to enhance developing countries' capacity to analyze and implement trade policy. It offers a hands-on introduction on how to estimate the distributional effects of trade policies on welfare, in particular on inequality and poverty. The guide is aimed at government experts engaged in trade negotiations, as well as students and researchers involved in trade-related study or research. An accompanying DVD contains data sets and program command files required for the exercises. Copublished by the WTO and the United Nations Conference on Trade and Development