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Theory of Ridge Regression Estimation with Applications

Author : A. K. Md. Ehsanes Saleh
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 34,87 MB
Release : 2019-01-08
Category : Mathematics
ISBN : 1118644522

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A guide to the systematic analytical results for ridge, LASSO, preliminary test, and Stein-type estimators with applications Theory of Ridge Regression Estimation with Applications offers a comprehensive guide to the theory and methods of estimation. Ridge regression and LASSO are at the center of all penalty estimators in a range of standard models that are used in many applied statistical analyses. Written by noted experts in the field, the book contains a thorough introduction to penalty and shrinkage estimation and explores the role that ridge, LASSO, and logistic regression play in the computer intensive area of neural network and big data analysis. Designed to be accessible, the book presents detailed coverage of the basic terminology related to various models such as the location and simple linear models, normal and rank theory-based ridge, LASSO, preliminary test and Stein-type estimators. The authors also include problem sets to enhance learning. This book is a volume in the Wiley Series in Probability and Statistics series that provides essential and invaluable reading for all statisticians. This important resource: Offers theoretical coverage and computer-intensive applications of the procedures presented Contains solutions and alternate methods for prediction accuracy and selecting model procedures Presents the first book to focus on ridge regression and unifies past research with current methodology Uses R throughout the text and includes a companion website containing convenient data sets Written for graduate students, practitioners, and researchers in various fields of science, Theory of Ridge Regression Estimation with Applications is an authoritative guide to the theory and methodology of statistical estimation.

Ridge Regression

Author : Matthew K. MacGue
Publisher :
Page : 486 pages
File Size : 20,59 MB
Release : 1981
Category :
ISBN :

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Ridge Fuzzy Regression Modelling for Solving Multicollinearity

Author : Hyoshin Kim
Publisher : Infinite Study
Page : 15 pages
File Size : 39,54 MB
Release :
Category : Mathematics
ISBN :

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This paper proposes an a-level estimation algorithm for ridge fuzzy regression modeling, addressing the multicollinearity phenomenon in the fuzzy linear regression setting.

Theory of Preliminary Test and Stein-Type Estimation with Applications

Author : A. K. Md. Ehsanes Saleh
Publisher : John Wiley & Sons
Page : 656 pages
File Size : 15,88 MB
Release : 2006-04-28
Category : Mathematics
ISBN : 0471773743

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Theory of Preliminary Test and Stein-Type Estimation with Applications provides a com-prehensive account of the theory and methods of estimation in a variety of standard models used in applied statistical inference. It is an in-depth introduction to the estimation theory for graduate students, practitioners, and researchers in various fields, such as statistics, engineering, social sciences, and medical sciences. Coverage of the material is designed as a first step in improving the estimates before applying full Bayesian methodology, while problems at the end of each chapter enlarge the scope of the applications. This book contains clear and detailed coverage of basic terminology related to various topics, including: * Simple linear model; ANOVA; parallelism model; multiple regression model with non-stochastic and stochastic constraints; regression with autocorrelated errors; ridge regression; and multivariate and discrete data models * Normal, non-normal, and nonparametric theory of estimation * Bayes and empirical Bayes methods * R-estimation and U-statistics * Confidence set estimation

Regression Analysis

Author : Ashish Sen
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 34,39 MB
Release : 2012-12-06
Category : Psychology
ISBN : 1461244706

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An up-to-date, rigorous, and lucid treatment of the theory, methods, and applications of regression analysis, and thus ideally suited for those interested in the theory as well as those whose interests lie primarily with applications. It is further enhanced through real-life examples drawn from many disciplines, showing the difficulties typically encountered in the practice of regression analysis. Consequently, this book provides a sound foundation in the theory of this important subject.

Linear Regression Analysis

Author : Xin Yan
Publisher : World Scientific
Page : 349 pages
File Size : 50,10 MB
Release : 2009
Category : Mathematics
ISBN : 9812834109

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"This volume presents in detail the fundamental theories of linear regression analysis and diagnosis, as well as the relevant statistical computing techniques so that readers are able to actually model the data using the techniques described in the book. This book is suitable for graduate students who are either majoring in statistics/biostatistics or using linear regression analysis substantially in their subject area." --Book Jacket.