Diagnostics Analysis For Skew Normal Regression Models

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Diagnostics Analysis For Skew Normal Regression Models

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Author : Clécio da Silva Ferreira
language : en
Publisher:
Release Date : 2008

Diagnostics Analysis For Skew Normal Regression Models written by Clécio da Silva Ferreira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Skew fields categories.

Robust Diagnostic Regression Analysis

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Author : Anthony Atkinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Robust Diagnostic Regression Analysis written by Anthony Atkinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book is about using graphs to understand the relationship between a regression model and the data to which it is fitted. Because of the way in which models are fitted, for example, by least squares, we can lose infor mation about the effect of individual observations on inferences about the form and parameters of the model. The methods developed in this book reveal how the fitted regression model depends on individual observations and on groups of observations. Robust procedures can sometimes reveal this structure, but downweight or discard some observations. The novelty in our book is to combine robustness and a forward" " search through the data with regression diagnostics and computer graphics. We provide easily understood plots that use information from the whole sample to display the effect of each observation on a wide variety of aspects of the fitted model. This bald statement of the contents of our book masks the excitement we feel about the methods we have developed based on the forward search. We are continuously amazed, each time we analyze a new set of data, by the amount of information the plots generate and the insights they provide. We believe our book uses comparatively elementary methods to move regression in a completely new and useful direction. We have written the book to be accessible to students and users of statistical methods, as well as for professional statisticians.

Regression Diagnostics

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Author : John Fox
language : en
Publisher: SAGE Publications
Release Date : 2019-12-09

Regression Diagnostics written by John Fox and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-09 with Mathematics categories.

Regression diagnostics are methods for determining whether a regression model that has been fit to data adequately represents the structure of the data. For example, if the model assumes a linear (straight-line) relationship between the response and an explanatory variable, is the assumption of linearity warranted? Regression diagnostics not only reveal deficiencies in a regression model that has been fit to data but in many instances may suggest how the model can be improved. The Second Edition of this bestselling volume by John Fox considers two important classes of regression models: the normal linear regression model (LM), in which the response variable is quantitative and assumed to have a normal distribution conditional on the values of the explanatory variables; and generalized linear models (GLMs) in which the conditional distribution of the response variable is a member of an exponential family. R code and data sets for examples within the text can be found on an accompanying website.

The Skew Normal And Related Families

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Author : Adelchi Azzalini
language : en
Publisher: Cambridge University Press
Release Date : 2013-12-19

The Skew Normal And Related Families written by Adelchi Azzalini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-19 with Mathematics categories.

Interest in the skew-normal and related families of distributions has grown enormously over recent years, as theory has advanced, challenges of data have grown, and computational tools have made substantial progress. This comprehensive treatment, blending theory and practice, will be the standard resource for statisticians and applied researchers. Assuming only basic knowledge of (non-measure-theoretic) probability and statistical inference, the book is accessible to the wide range of researchers who use statistical modelling techniques. Guiding readers through the main concepts and results, it covers both the probability and the statistics sides of the subject, in the univariate and multivariate settings. The theoretical development is complemented by numerous illustrations and applications to a range of fields including quantitative finance, medical statistics, environmental risk studies, and industrial and business efficiency. The author's freely available R package sn, available from CRAN, equips readers to put the methods into action with their own data.

Skew Elliptical Distributions And Their Applications

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Author : Marc G. Genton
language : en
Publisher: CRC Press
Release Date : 2004-07-27

Skew Elliptical Distributions And Their Applications written by Marc G. Genton and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-27 with Mathematics categories.

This book reviews the state-of-the-art advances in skew-elliptical distributions and provides many new developments in a single volume, collecting theoretical results and applications previously scattered throughout the literature. The main goal of this research area is to develop flexible parametric classes of distributions beyond the classical normal distribution. The book is divided into two parts. The first part discusses theory and inference for skew-elliptical distribution. The second part examines applications and case studies, including areas such as economics, finance, oceanography, climatology, environmetrics, engineering, image processing, astronomy, and biomedical science.

Bayesian Inference And Computation In Reliability And Survival Analysis

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Author : Yuhlong Lio
language : en
Publisher: Springer Nature
Release Date : 2022-08-01

Bayesian Inference And Computation In Reliability And Survival Analysis written by Yuhlong Lio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-01 with Mathematics categories.

Bayesian analysis is one of the important tools for statistical modelling and inference. Bayesian frameworks and methods have been successfully applied to solve practical problems in reliability and survival analysis, which have a wide range of real world applications in medical and biological sciences, social and economic sciences, and engineering. In the past few decades, significant developments of Bayesian inference have been made by many researchers, and advancements in computational technology and computer performance has laid the groundwork for new opportunities in Bayesian computation for practitioners. Because these theoretical and technological developments introduce new questions and challenges, and increase the complexity of the Bayesian framework, this book brings together experts engaged in groundbreaking research on Bayesian inference and computation to discuss important issues, with emphasis on applications to reliability and survival analysis. Topics covered are timely and have the potential to influence the interacting worlds of biostatistics, engineering, medical sciences, statistics, and more. The included chapters present current methods, theories, and applications in the diverse area of biostatistical analysis. The volume as a whole serves as reference in driving quality global health research.

Robust Bayesian Analysis Of Heavy Tailed Stochastic Volatility Models Using Scale Mixtures Of Normal Distributions

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Author : C. A. Abanto-Valle
language : en
Publisher:
Release Date : 2008

Robust Bayesian Analysis Of Heavy Tailed Stochastic Volatility Models Using Scale Mixtures Of Normal Distributions written by C. A. Abanto-Valle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Bayesian statistical decision theory categories.

Statistical Analysis With Measurement Error Or Misclassification

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Author : Grace Y. Yi
language : en
Publisher: Springer
Release Date : 2017-08-02

Statistical Analysis With Measurement Error Or Misclassification written by Grace Y. Yi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-02 with Mathematics categories.

This monograph on measurement error and misclassification covers a broad range of problems and emphasizes unique features in modeling and analyzing problems arising from medical research and epidemiological studies. Many measurement error and misclassification problems have been addressed in various fields over the years as well as with a wide spectrum of data, including event history data (such as survival data and recurrent event data), correlated data (such as longitudinal data and clustered data), multi-state event data, and data arising from case-control studies. Statistical Analysis with Measurement Error or Misclassification: Strategy, Method and Application brings together assorted methods in a single text and provides an update of recent developments for a variety of settings. Measurement error effects and strategies of handling mismeasurement for different models are closely examined in combination with applications to specific problems. Readers with diverse backgrounds and objectives can utilize this text. Familiarity with inference methods—such as likelihood and estimating function theory—or modeling schemes in varying settings—such as survival analysis and longitudinal data analysis—can result in a full appreciation of the material, but it is not essential since each chapter provides basic inference frameworks and background information on an individual topic to ease the access of the material. The text is presented in a coherent and self-contained manner and highlights the essence of commonly used modeling and inference methods. This text can serve as a reference book for researchers interested in statistical methodology for handling data with measurement error or misclassification; as a textbook for graduate students, especially for those majoring in statistics and biostatistics; or as a book for applied statisticians whose interest focuses on analysis of error-contaminated data. Grace Y. Yi is Professor of Statistics and University Research Chair at the University of Waterloo. She is the 2010 winner of the CRM-SSC Prize, an honor awarded in recognition of a statistical scientist's professional accomplishments in research during the first 15 years after having received a doctorate. She is a Fellow of the American Statistical Association and an Elected Member of the International Statistical Institute.

Topics In Circular Statistics

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Author : S. Rao Jammalamadaka
language : en
Publisher: World Scientific
Release Date : 2001

Topics In Circular Statistics written by S. Rao Jammalamadaka and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner. Contents: Circular Probability Distributions; Some Sampling Distributions; Estimation of Parameters; Tests for Mean Direction and Concentration; Tests for Uniformity; Nonparametric Testing Procedures; Circular Correlation and Regression; Predictive Inference for Directional Data; Outliers and Related Problems; Change-Point Problems; Miscellaneous Topics; Some Facts on Bessel Functions; How to Use the CircStats Package. Readership: Researchers and practitioners dealing with circular data.

Springer Handbook Of Engineering Statistics

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Author : Hoang Pham
language : en
Publisher: Springer Nature
Release Date : 2023-04-20

Springer Handbook Of Engineering Statistics written by Hoang Pham and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-20 with Technology & Engineering categories.

In today’s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.