Chaos

Chaos

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  • Author: Kung-sik Chan
  • Publisher:
  • ISBN: 9789810237271
  • Category : Stochastic analysis
  • Languages : en
  • Pages : 300


Chaos: A Statistical Perspective

Chaos: A Statistical Perspective

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  • Author: Kung-Sik Chan
  • Publisher: Springer Science & Business Media
  • ISBN: 1475734646
  • Category : Mathematics
  • Languages : en
  • Pages : 312

This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.


Chaos

Chaos

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  • Author: Kung-Sik Chan
  • Publisher:
  • ISBN: 9781475734652
  • Category :
  • Languages : en
  • Pages : 324


Statistical Learning from a Regression Perspective

Statistical Learning from a Regression Perspective

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  • Author: Richard A. Berk
  • Publisher: Springer Science & Business Media
  • ISBN: 0387775013
  • Category : Mathematics
  • Languages : en
  • Pages : 360

Statistical Learning from a Regression Perspective considers statistical learning applications when interest centers on the conditional distribution of the response variable, given a set of predictors, and when it is important to characterize how the predictors are related to the response. As a first approximation, this is can be seen as an extension of nonparametric regression. Among the statistical learning procedures examined are bagging, random forests, boosting, and support vector machines. Response variables may be quantitative or categorical. Real applications are emphasized, especially those with practical implications. One important theme is the need to explicitly take into account asymmetric costs in the fitting process. For example, in some situations false positives may be far less costly than false negatives. Another important theme is to not automatically cede modeling decisions to a fitting algorithm. In many settings, subject-matter knowledge should trump formal fitting criteria. Yet another important theme is to appreciate the limitation of one’s data and not apply statistical learning procedures that require more than the data can provide. The material is written for graduate students in the social and life sciences and for researchers who want to apply statistical learning procedures to scientific and policy problems. Intuitive explanations and visual representations are prominent. All of the analyses included are done in R.


Information Criteria and Statistical Modeling

Information Criteria and Statistical Modeling

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  • Author: Sadanori Konishi
  • Publisher: Springer Science & Business Media
  • ISBN: 0387718869
  • Category : Business & Economics
  • Languages : en
  • Pages : 282

Statistical modeling is a critical tool in scientific research. This book provides comprehensive explanations of the concepts and philosophy of statistical modeling, together with a wide range of practical and numerical examples. The authors expect this work to be of great value not just to statisticians but also to researchers and practitioners in various fields of research such as information science, computer science, engineering, bioinformatics, economics, marketing and environmental science. It’s a crucial area of study, as statistical models are used to understand phenomena with uncertainty and to determine the structure of complex systems. They’re also used to control such systems, as well as to make reliable predictions in various natural and social science fields.


Statistical Decision Theory

Statistical Decision Theory

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  • Author: F. Liese
  • Publisher: Springer Science & Business Media
  • ISBN: 0387731946
  • Category : Mathematics
  • Languages : en
  • Pages : 677

For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.


Correlated Data Analysis: Modeling, Analytics, and Applications

Correlated Data Analysis: Modeling, Analytics, and Applications

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  • Author: Xue-Kun Song
  • Publisher: Springer Science & Business Media
  • ISBN: 0387713921
  • Category : Mathematics
  • Languages : en
  • Pages : 356

This book covers recent developments in correlated data analysis. It utilizes the class of dispersion models as marginal components in the formulation of joint models for correlated data. This enables the book to cover a broader range of data types than the traditional generalized linear models. The reader is provided with a systematic treatment for the topic of estimating functions, and both generalized estimating equations (GEE) and quadratic inference functions (QIF) are studied as special cases. In addition to the discussions on marginal models and mixed-effects models, this book covers new topics on joint regression analysis based on Gaussian copulas.


Multiscale Modeling

Multiscale Modeling

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  • Author: Marco A.R. Ferreira
  • Publisher: Springer Science & Business Media
  • ISBN: 0387708979
  • Category : Business & Economics
  • Languages : en
  • Pages : 243

This highly useful book contains methodology for the analysis of data that arise from multiscale processes. It brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. These methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.


The Elements of Statistical Learning

The Elements of Statistical Learning

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  • Author: Trevor Hastie
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387952840
  • Category : Computers
  • Languages : en
  • Pages : 560

This book describes the important ideas in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of color graphics. It should be a valuable resource for statisticians and anyone interested in data mining in science or industry.


Statistical Analysis of Environmental Space-Time Processes

Statistical Analysis of Environmental Space-Time Processes

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  • Author: Nhu D. Le
  • Publisher: Springer Science & Business Media
  • ISBN: 0387354298
  • Category : Science
  • Languages : en
  • Pages : 338

This book provides a broad introduction to the subject of environmental space-time processes, addressing the role of uncertainty. It covers a spectrum of technical matters from measurement to environmental epidemiology to risk assessment. It showcases non-stationary vector-valued processes, while treating stationarity as a special case. In particular, with members of their research group the authors developed within a hierarchical Bayesian framework, the new statistical approaches presented in the book for analyzing, modeling, and monitoring environmental spatio-temporal processes. Furthermore they indicate new directions for development.