Biometrika Volume 2
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Author | : Allan D. R. McQuarrie |
Publisher | : World Scientific |
Total Pages | : 479 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9812385452 |
This important book describes procedures for selecting a model from a large set of competing statistical models. It includes model selection techniques for univariate and multivariate regression models, univariate and multivariate autoregressive models, nonparametric (including wavelets) and semiparametric regression models, and quasi-likelihood and robust regression models. Information-based model selection criteria are discussed, and small sample and asymptotic properties are presented. The book also provides examples and large scale simulation studies comparing the performances of information-based model selection criteria, bootstrapping, and cross-validation selection methods over a wide range of models.
Author | : Jonas Peters |
Publisher | : MIT Press |
Total Pages | : 289 |
Release | : 2017-11-29 |
Genre | : Computers |
ISBN | : 0262037319 |
A concise and self-contained introduction to causal inference, increasingly important in data science and machine learning. The mathematization of causality is a relatively recent development, and has become increasingly important in data science and machine learning. This book offers a self-contained and concise introduction to causal models and how to learn them from data. After explaining the need for causal models and discussing some of the principles underlying causal inference, the book teaches readers how to use causal models: how to compute intervention distributions, how to infer causal models from observational and interventional data, and how causal ideas could be exploited for classical machine learning problems. All of these topics are discussed first in terms of two variables and then in the more general multivariate case. The bivariate case turns out to be a particularly hard problem for causal learning because there are no conditional independences as used by classical methods for solving multivariate cases. The authors consider analyzing statistical asymmetries between cause and effect to be highly instructive, and they report on their decade of intensive research into this problem. The book is accessible to readers with a background in machine learning or statistics, and can be used in graduate courses or as a reference for researchers. The text includes code snippets that can be copied and pasted, exercises, and an appendix with a summary of the most important technical concepts.
Author | : Gregory C. Reinsel |
Publisher | : Springer Science & Business Media |
Total Pages | : 384 |
Release | : 2003-10-31 |
Genre | : Mathematics |
ISBN | : 9780387406190 |
Now available in paperback, this book introduces basic concepts and methods useful in the analysis and modeling of multivariate time series data. It concentrates on the time-domain analysis of multivariate time series, and assumes univariate time series analysis, while covering basic topics such as stationary processes and their covariance matrix structure, vector AR, MA, and ARMA models, forecasting, least squares and maximum likelihood estimation for ARMA models, associated likelihood ratio testing procedures.
Author | : Michael R. Kosorok |
Publisher | : Springer Science & Business Media |
Total Pages | : 482 |
Release | : 2007-12-29 |
Genre | : Mathematics |
ISBN | : 0387749780 |
Kosorok’s brilliant text provides a self-contained introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. This is an authoritative text that covers all the bases, and also a friendly and gradual introduction to the area. The book can be used as research reference and textbook.
Author | : Ralph B. D'Agostino |
Publisher | : CRC Press |
Total Pages | : 590 |
Release | : 1986-06-02 |
Genre | : Mathematics |
ISBN | : 9780824774875 |
Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction, and also collecting methods of testing for specific famous distributions, this useful reference is the first comprehensive review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists, biometricians, physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.
Author | : |
Publisher | : |
Total Pages | : 544 |
Release | : 1960-06 |
Genre | : Biology |
ISBN | : |
Author | : John White |
Publisher | : Nelson Thornes |
Total Pages | : 92 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : 9780859504621 |
Author | : Jagdish K. Patel |
Publisher | : CRC Press |
Total Pages | : 452 |
Release | : 1996-01-16 |
Genre | : Mathematics |
ISBN | : 9780824793425 |
"Traces the historical development of the normal law. Second Edition offers a comprehensive treatment of the bivariate normal distribution--presenting entirely new material on normal integrals, asymptotic normality, the asymptotic properties of order statistics, and point estimation and statistical intervals."
Author | : Henrik Christensen |
Publisher | : Springer |
Total Pages | : 494 |
Release | : 2012-05-28 |
Genre | : Computers |
ISBN | : 9783642263217 |
Design of cognitive systems for assistance to people poses a major challenge to the fields of robotics and artificial intelligence. The Cognitive Systems for Cognitive Assistance (CoSy) project was organized to address the issues of i) theoretical progress on design of cognitive systems ii) methods for implementation of systems and iii) empirical studies to further understand the use and interaction with such systems. To study, design and deploy cognitive systems there is a need to considers aspects of systems design, embodiment, perception, planning and error recovery, spatial insertion, knowledge acquisition and machine learning, dialog design and human robot interaction and systems integration. The CoSy project addressed all of these aspects over a period of four years and across two different domains of application – exploration of space and task / knowledge acquisition for manipulation. The present volume documents the results of the CoSy project. The CoSy project was funded by the European Commission as part of the Cognitive Systems Program within the 6th Framework Program.
Author | : Tor Lattimore |
Publisher | : Cambridge University Press |
Total Pages | : 537 |
Release | : 2020-07-16 |
Genre | : Business & Economics |
ISBN | : 1108486827 |
A comprehensive and rigorous introduction for graduate students and researchers, with applications in sequential decision-making problems.