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In All Likelihood

In All Likelihood
Author: Yudi Pawitan
Publisher: OUP Oxford
Total Pages: 626
Release: 2013-01-17
Genre: Mathematics
ISBN: 0191650587

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Based on a course in the theory of statistics this text concentrates on what can be achieved using the likelihood/Fisherian method of taking account of uncertainty when studying a statistical problem. It takes the concept ot the likelihood as providing the best methods for unifying the demands of statistical modelling and the theory of inference. Every likelihood concept is illustrated by realistic examples, which are not compromised by computational problems. Examples range from a simile comparison of two accident rates, to complex studies that require generalised linear or semiparametric modelling. The emphasis is that the likelihood is not simply a device to produce an estimate, but an important tool for modelling. The book generally takes an informal approach, where most important results are established using heuristic arguments and motivated with realistic examples. With the currently available computing power, examples are not contrived to allow a closed analytical solution, and the book can concentrate on the statistical aspects of the data modelling. In addition to classical likelihood theory, the book covers many modern topics such as generalized linear models and mixed models, non parametric smoothing, robustness, the EM algorithm and empirical likelihood.


In All Likelihood

In All Likelihood
Author: Yudi Pawitan
Publisher: Oxford University Press, USA
Total Pages: 544
Release: 2013-01-17
Genre: Business & Economics
ISBN: 0199671222

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This book introduces likelihood as a unifying concept in statistical modelling and inference. The complete range of concepts and applications are covered, from very simple to very complex studies. It relies on realistic examples, and presents the main results using heuristic rather than formal mathematical arguments.


Empirical Likelihood

Empirical Likelihood
Author: Art B. Owen
Publisher: CRC Press
Total Pages: 322
Release: 2001-05-18
Genre: Mathematics
ISBN: 1420036157

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Empirical likelihood provides inferences whose validity does not depend on specifying a parametric model for the data. Because it uses a likelihood, the method has certain inherent advantages over resampling methods: it uses the data to determine the shape of the confidence regions, and it makes it easy to combined data from multiple sources. It al


The Likelihood Principle

The Likelihood Principle
Author: James O. Berger
Publisher: IMS
Total Pages: 266
Release: 1988
Genre: Mathematics
ISBN: 9780940600133

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Maximum Likelihood for Social Science

Maximum Likelihood for Social Science
Author: Michael D. Ward
Publisher: Cambridge University Press
Total Pages: 327
Release: 2018-11-22
Genre: Political Science
ISBN: 1107185823

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Practical, example-driven introduction to maximum likelihood for the social sciences. Emphasizes computation in R, model selection and interpretation.


Confidence, Likelihood, Probability

Confidence, Likelihood, Probability
Author: Tore Schweder
Publisher: Cambridge University Press
Total Pages: 521
Release: 2016-02-24
Genre: Business & Economics
ISBN: 0521861608

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This is the first book to develop a methodology of confidence distributions, with a lively mix of theory, illustrations, applications and exercises.


Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA

Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA
Author: Elias T. Krainski
Publisher: CRC Press
Total Pages: 284
Release: 2018-12-07
Genre: Mathematics
ISBN: 0429629850

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Modeling spatial and spatio-temporal continuous processes is an important and challenging problem in spatial statistics. Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA describes in detail the stochastic partial differential equations (SPDE) approach for modeling continuous spatial processes with a Matérn covariance, which has been implemented using the integrated nested Laplace approximation (INLA) in the R-INLA package. Key concepts about modeling spatial processes and the SPDE approach are explained with examples using simulated data and real applications. This book has been authored by leading experts in spatial statistics, including the main developers of the INLA and SPDE methodologies and the R-INLA package. It also includes a wide range of applications: * Spatial and spatio-temporal models for continuous outcomes * Analysis of spatial and spatio-temporal point patterns * Coregionalization spatial and spatio-temporal models * Measurement error spatial models * Modeling preferential sampling * Spatial and spatio-temporal models with physical barriers * Survival analysis with spatial effects * Dynamic space-time regression * Spatial and spatio-temporal models for extremes * Hurdle models with spatial effects * Penalized Complexity priors for spatial models All the examples in the book are fully reproducible. Further information about this book, as well as the R code and datasets used, is available from the book website at http://www.r-inla.org/spde-book. The tools described in this book will be useful to researchers in many fields such as biostatistics, spatial statistics, environmental sciences, epidemiology, ecology and others. Graduate and Ph.D. students will also find this book and associated files a valuable resource to learn INLA and the SPDE approach for spatial modeling.


Recent Reports

Recent Reports
Author:
Publisher:
Total Pages: 4
Release: 1990
Genre: Forests and forestry
ISBN:

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Statistical Evidence

Statistical Evidence
Author: Richard Royall
Publisher: Routledge
Total Pages: 258
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351414550

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Interpreting statistical data as evidence, Statistical Evidence: A Likelihood Paradigm focuses on the law of likelihood, fundamental to solving many of the problems associated with interpreting data in this way. Statistics has long neglected this principle, resulting in a seriously defective methodology. This book redresses the balance, explaining why science has clung to a defective methodology despite its well-known defects. After examining the strengths and weaknesses of the work of Neyman and Pearson and the Fisher paradigm, the author proposes an alternative paradigm which provides, in the law of likelihood, the explicit concept of evidence missing from the other paradigms. At the same time, this new paradigm retains the elements of objective measurement and control of the frequency of misleading results, features which made the old paradigms so important to science. The likelihood paradigm leads to statistical methods that have a compelling rationale and an elegant simplicity, no longer forcing the reader to choose between frequentist and Bayesian statistics.