Measuring Statistical Evidence Using Relative Belief


Measuring Statistical Evidence Using Relative Belief
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Measuring Statistical Evidence Using Relative Belief


Measuring Statistical Evidence Using Relative Belief
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Author : Michael Evans
language : en
Publisher: CRC Press
Release Date : 2015-06-23

Measuring Statistical Evidence Using Relative Belief written by Michael Evans and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-23 with Mathematics categories.


This book provides an overview of recent work on developing a theory of statistical inference based on measuring statistical evidence. It attempts to establish a gold standard for how a statistical analysis should proceed. The book illustrates relative belief theory using many examples and describes the strengths and weaknesses of the theory. The author also addresses fundamental statistical issues, including the meaning of probability, the role of subjectivity, the meaning of objectivity, and the role of infinity and continuity.



Symmetry Measures On Complex Networks


Symmetry Measures On Complex Networks
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Author : Angel Garrido
language : en
Publisher: MDPI
Release Date : 2018-07-09

Symmetry Measures On Complex Networks written by Angel Garrido and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Electronic book categories.


This book is a printed edition of the Special Issue "Symmetry Measures on Complex Networks" that was published in Symmetry



Everything Is Predictable


Everything Is Predictable
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Author : Tom Chivers
language : en
Publisher: Hachette UK
Release Date : 2024-04-25

Everything Is Predictable written by Tom Chivers and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-25 with Mathematics categories.


Thomas Bayes was an eighteenth-century Presbyterian minister and amateur mathematician whose obscure life belied the profound impact of his work. Like most research into probability at the time, his theorem was mainly seen as relevant to games of chance, like dice and cards. But its implications soon became clear. Bayes' theorem helps explain why highly accurate screening tests can lead to false positives, causing unnecessary anxiety for patients. A failure to account for it in court has put innocent people in jail. But its influence goes far beyond practical applications. A cornerstone of rational thought, Bayesian principles are used in modelling and forecasting. 'Superforecasters', a group of expert predictors who outperform CIA analysts, use a Bayesian approach. And many argue that Bayes' theorem is not just a useful tool, but a description of almost everything - that it is the underlying architecture of rationality, and of the human brain. Fusing biography, razor-sharp science communication and intellectual history, Everything Is Predictable is a captivating tour of Bayes' theorem and its impact on modern life. From medical testing to artificial intelligence, Tom Chivers shows how a single compelling idea can have far-reaching consequences.



Research Integrity


Research Integrity
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Author : Lee Jussim
language : en
Publisher: Oxford University Press
Release Date : 2022

Research Integrity written by Lee Jussim and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Medical categories.


"Scientific discoveries often build on - and are inspired by - previous discoveries. If the scientific enterprise were a tower of blocks, each piece representing a scientific finding, scientific progress might entail making the tower bigger and better block by block, discovery by discovery. Rather than strong wooden blocks, imagine the blocks, or scientific findings, can take on shape based on scientific accuracy. The most accurate pieces are the strongest and sturdiest, while the least accurate are soft and pliable. Building a tower of the scientific enterprise with a large number of inaccurate blocks will cause the tower to start to wobble, lean over, and potentially collapse, as more and more blocks are placed upon weak and faulty pieces"--



Semialgebraic Statistics And Latent Tree Models


Semialgebraic Statistics And Latent Tree Models
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Author : Piotr Zwiernik
language : en
Publisher: CRC Press
Release Date : 2015-08-21

Semialgebraic Statistics And Latent Tree Models written by Piotr Zwiernik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-21 with Mathematics categories.


The first part of the book gives a general introduction to key concepts in algebraic statistics, focusing on methods that are helpful in the study of models with hidden variables. The author uses tensor geometry as a natural language to deal with multivariate probability distributions, develops new combinatorial tools to study models with hidden data, and describes the semialgebraic structure of statistical models. The second part illustrates important examples of tree models with hidden variables. The book discusses the underlying models and related combinatorial concepts of phylogenetic trees as well as the local and global geometry of latent tree models. It also extends previous results to Gaussian latent tree models. This book shows you how both combinatorics and algebraic geometry enable a better understanding of latent tree models. It contains many results on the geometry of the models, including a detailed analysis of identifiability and the defining polynomial constraints



Handbook Of Approximate Bayesian Computation


Handbook Of Approximate Bayesian Computation
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Author : Scott A. Sisson
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Handbook Of Approximate Bayesian Computation written by Scott A. Sisson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.


As the world becomes increasingly complex, so do the statistical models required to analyse the challenging problems ahead. For the very first time in a single volume, the Handbook of Approximate Bayesian Computation (ABC) presents an extensive overview of the theory, practice and application of ABC methods. These simple, but powerful statistical techniques, take Bayesian statistics beyond the need to specify overly simplified models, to the setting where the model is defined only as a process that generates data. This process can be arbitrarily complex, to the point where standard Bayesian techniques based on working with tractable likelihood functions would not be viable. ABC methods finesse the problem of model complexity within the Bayesian framework by exploiting modern computational power, thereby permitting approximate Bayesian analyses of models that would otherwise be impossible to implement. The Handbook of ABC provides illuminating insight into the world of Bayesian modelling for intractable models for both experts and newcomers alike. It is an essential reference book for anyone interested in learning about and implementing ABC techniques to analyse complex models in the modern world.



Generalized Linear Models With Random Effects


Generalized Linear Models With Random Effects
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Author : Youngjo Lee
language : en
Publisher: CRC Press
Release Date : 2018-07-11

Generalized Linear Models With Random Effects written by Youngjo Lee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-11 with Mathematics categories.


This is the second edition of a monograph on generalized linear models with random effects that extends the classic work of McCullagh and Nelder. It has been thoroughly updated, with around 80 pages added, including new material on the extended likelihood approach that strengthens the theoretical basis of the methodology, new developments in variable selection and multiple testing, and new examples and applications. It includes an R package for all the methods and examples that supplement the book.



Asymptotic Analysis Of Mixed Effects Models


Asymptotic Analysis Of Mixed Effects Models
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Author : Jiming Jiang
language : en
Publisher: CRC Press
Release Date : 2017-09-19

Asymptotic Analysis Of Mixed Effects Models written by Jiming Jiang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with Mathematics categories.


Large sample techniques are fundamental to all fields of statistics. Mixed effects models, including linear mixed models, generalized linear mixed models, non-linear mixed effects models, and non-parametric mixed effects models are complex models, yet, these models are extensively used in practice. This monograph provides a comprehensive account of asymptotic analysis of mixed effects models. The monograph is suitable for researchers and graduate students who wish to learn about asymptotic tools and research problems in mixed effects models. It may also be used as a reference book for a graduate-level course on mixed effects models, or asymptotic analysis.



Hidden Markov Models For Time Series


Hidden Markov Models For Time Series
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Author : Walter Zucchini
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Hidden Markov Models For Time Series written by Walter Zucchini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.


Hidden Markov Models for Time Series: An Introduction Using R, Second Edition illustrates the great flexibility of hidden Markov models (HMMs) as general-purpose models for time series data. The book provides a broad understanding of the models and their uses. After presenting the basic model formulation, the book covers estimation, forecasting, decoding, prediction, model selection, and Bayesian inference for HMMs. Through examples and applications, the authors describe how to extend and generalize the basic model so that it can be applied in a rich variety of situations. The book demonstrates how HMMs can be applied to a wide range of types of time series: continuous-valued, circular, multivariate, binary, bounded and unbounded counts, and categorical observations. It also discusses how to employ the freely available computing environment R to carry out the computations. Features Presents an accessible overview of HMMs Explores a variety of applications in ecology, finance, epidemiology, climatology, and sociology Includes numerous theoretical and programming exercises Provides most of the analysed data sets online New to the second edition A total of five chapters on extensions, including HMMs for longitudinal data, hidden semi-Markov models and models with continuous-valued state process New case studies on animal movement, rainfall occurrence and capture-recapture data



Joint Modeling Of Longitudinal And Time To Event Data


Joint Modeling Of Longitudinal And Time To Event Data
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Author : Robert Elashoff
language : en
Publisher: CRC Press
Release Date : 2016-10-04

Joint Modeling Of Longitudinal And Time To Event Data written by Robert Elashoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-04 with Mathematics categories.


Longitudinal studies often incur several problems that challenge standard statistical methods for data analysis. These problems include non-ignorable missing data in longitudinal measurements of one or more response variables, informative observation times of longitudinal data, and survival analysis with intermittently measured time-dependent covariates that are subject to measurement error and/or substantial biological variation. Joint modeling of longitudinal and time-to-event data has emerged as a novel approach to handle these issues. Joint Modeling of Longitudinal and Time-to-Event Data provides a systematic introduction and review of state-of-the-art statistical methodology in this active research field. The methods are illustrated by real data examples from a wide range of clinical research topics. A collection of data sets and software for practical implementation of the joint modeling methodologies are available through the book website. This book serves as a reference book for scientific investigators who need to analyze longitudinal and/or survival data, as well as researchers developing methodology in this field. It may also be used as a textbook for a graduate level course in biostatistics or statistics.