Shrinkage Estimation

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Shrinkage Estimation

Author : Dominique Fourdrinier
Publisher : Springer
ISBN 13 : 3030021858
Total Pages : 339 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Shrinkage Estimation by : Dominique Fourdrinier

Download or read book Shrinkage Estimation written by Dominique Fourdrinier and published by Springer. This book was released on 2018-11-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a coherent framework for understanding shrinkage estimation in statistics. The term refers to modifying a classical estimator by moving it closer to a target which could be known a priori or arise from a model. The goal is to construct estimators with improved statistical properties. The book focuses primarily on point and loss estimation of the mean vector of multivariate normal and spherically symmetric distributions. Chapter 1 reviews the statistical and decision theoretic terminology and results that will be used throughout the book. Chapter 2 is concerned with estimating the mean vector of a multivariate normal distribution under quadratic loss from a frequentist perspective. In Chapter 3 the authors take a Bayesian view of shrinkage estimation in the normal setting. Chapter 4 introduces the general classes of spherically and elliptically symmetric distributions. Point and loss estimation for these broad classes are studied in subsequent chapters. In particular, Chapter 5 extends many of the results from Chapters 2 and 3 to spherically and elliptically symmetric distributions. Chapter 6 considers the general linear model with spherically symmetric error distributions when a residual vector is available. Chapter 7 then considers the problem of estimating a location vector which is constrained to lie in a convex set. Much of the chapter is devoted to one of two types of constraint sets, balls and polyhedral cones. In Chapter 8 the authors focus on loss estimation and data-dependent evidence reports. Appendices cover a number of technical topics including weakly differentiable functions; examples where Stein’s identity doesn’t hold; Stein’s lemma and Stokes’ theorem for smooth boundaries; harmonic, superharmonic and subharmonic functions; and modified Bessel functions.

Shrinkage Estimation for Mean and Covariance Matrices

Author : Hisayuki Tsukuma
Publisher : Springer Nature
ISBN 13 : 9811515964
Total Pages : 119 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Shrinkage Estimation for Mean and Covariance Matrices by : Hisayuki Tsukuma

Download or read book Shrinkage Estimation for Mean and Covariance Matrices written by Hisayuki Tsukuma and published by Springer Nature. This book was released on 2020-04-16 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to shrinkage estimation for matrix-variate normal distribution models. More specifically, it presents recent techniques and results in estimation of mean and covariance matrices with a high-dimensional setting that implies singularity of the sample covariance matrix. Such high-dimensional models can be analyzed by using the same arguments as for low-dimensional models, thus yielding a unified approach to both high- and low-dimensional shrinkage estimations. The unified shrinkage approach not only integrates modern and classical shrinkage estimation, but is also required for further development of the field. Beginning with the notion of decision-theoretic estimation, this book explains matrix theory, group invariance, and other mathematical tools for finding better estimators. It also includes examples of shrinkage estimators for improving standard estimators, such as least squares, maximum likelihood, and minimum risk invariant estimators, and discusses the historical background and related topics in decision-theoretic estimation of parameter matrices. This book is useful for researchers and graduate students in various fields requiring data analysis skills as well as in mathematical statistics.

Penalty, Shrinkage and Pretest Strategies

Author : S. Ejaz Ahmed
Publisher : Springer Science & Business Media
ISBN 13 : 331903149X
Total Pages : 122 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Penalty, Shrinkage and Pretest Strategies by : S. Ejaz Ahmed

Download or read book Penalty, Shrinkage and Pretest Strategies written by S. Ejaz Ahmed and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to compare the statistical properties of penalty and non-penalty estimation strategies for some popular models. Specifically, it considers the full model, submodel, penalty, pretest and shrinkage estimation techniques for three regression models before presenting the asymptotic properties of the non-penalty estimators and their asymptotic distributional efficiency comparisons. Further, the risk properties of the non-penalty estimators and penalty estimators are explored through a Monte Carlo simulation study. Showcasing examples based on real datasets, the book will be useful for students and applied researchers in a host of applied fields. The book’s level of presentation and style make it accessible to a broad audience. It offers clear, succinct expositions of each estimation strategy. More importantly, it clearly describes how to use each estimation strategy for the problem at hand. The book is largely self-contained, as are the individual chapters, so that anyone interested in a particular topic or area of application may read only that specific chapter. The book is specially designed for graduate students who want to understand the foundations and concepts underlying penalty and non-penalty estimation and its applications. It is well-suited as a textbook for senior undergraduate and graduate courses surveying penalty and non-penalty estimation strategies, and can also be used as a reference book for a host of related subjects, including courses on meta-analysis. Professional statisticians will find this book to be a valuable reference work, since nearly all chapters are self-contained.

Improving Efficiency by Shrinkage

Author : Marvin Gruber
Publisher : Routledge
ISBN 13 : 1351439162
Total Pages : 648 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Improving Efficiency by Shrinkage by : Marvin Gruber

Download or read book Improving Efficiency by Shrinkage written by Marvin Gruber and published by Routledge. This book was released on 2017-11-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a treatment of different kinds of James-Stein and ridge regression estimators from a frequentist and Bayesian point of view. The book explains and compares estimators analytically as well as numerically and includes Mathematica and Maple programs used in numerical comparison.;College or university bookshops may order five or more copies at a special student rate, available on request.

Shrinkage Estimation of a Linear Regression

Author : Kazuhiro Ohtani
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Shrinkage Estimation of a Linear Regression by : Kazuhiro Ohtani

Download or read book Shrinkage Estimation of a Linear Regression written by Kazuhiro Ohtani and published by . This book was released on 2000 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with shrinkage regression estimators obtained by shrinking the ordinary least squares (OLS) estimator towards the origin. The author's main concern is to compare the sampling properties of a family of Stein-rule estimators with those of a family of minimum mean squared error estimators. In this book, the author deals with shrinkage regression estimators obtained by shrinking the ordinary least squares (OLS) estimator towards the origin. In particular, he deals with a family of Stein-rule (SR) estimators and a family of minimum mean squared error (MMSE) estimators.

Post-Shrinkage Strategies in Statistical and Machine Learning for High Dimensional Data

Author : Syed Ejaz Ahmed
Publisher : CRC Press
ISBN 13 : 1000876659
Total Pages : 409 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Post-Shrinkage Strategies in Statistical and Machine Learning for High Dimensional Data by : Syed Ejaz Ahmed

Download or read book Post-Shrinkage Strategies in Statistical and Machine Learning for High Dimensional Data written by Syed Ejaz Ahmed and published by CRC Press. This book was released on 2023-05-25 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some post-estimation and predictions strategies for the host of useful statistical models with applications in data science. It combines statistical learning and machine learning techniques in a unique and optimal way. It is well-known that machine learning methods are subject to many issues relating to bias, and consequently the mean squared error and prediction error may explode. For this reason, we suggest shrinkage strategies to control the bias by combining a submodel selected by a penalized method with a model with many features. Further, the suggested shrinkage methodology can be successfully implemented for high dimensional data analysis. Many researchers in statistics and medical sciences work with big data. They need to analyse this data through statistical modelling. Estimating the model parameters accurately is an important part of the data analysis. This book may be a repository for developing improve estimation strategies for statisticians. This book will help researchers and practitioners for their teaching and advanced research, and is an excellent textbook for advanced undergraduate and graduate courses involving shrinkage, statistical, and machine learning. The book succinctly reveals the bias inherited in machine learning method and successfully provides tools, tricks and tips to deal with the bias issue. Expertly sheds light on the fundamental reasoning for model selection and post estimation using shrinkage and related strategies. This presentation is fundamental, because shrinkage and other methods appropriate for model selection and estimation problems and there is a growing interest in this area to fill the gap between competitive strategies. Application of these strategies to real life data set from many walks of life. Analytical results are fully corroborated by numerical work and numerous worked examples are included in each chapter with numerous graphs for data visualization. The presentation and style of the book clearly makes it accessible to a broad audience. It offers rich, concise expositions of each strategy and clearly describes how to use each estimation strategy for the problem at hand. This book emphasizes that statistics/statisticians can play a dominant role in solving Big Data problems, and will put them on the precipice of scientific discovery. The book contributes novel methodologies for HDDA and will open a door for continued research in this hot area. The practical impact of the proposed work stems from wide applications. The developed computational packages will aid in analyzing a broad range of applications in many walks of life.

Shrinkage Estimation in Nonparametric Bayesian Survival Analysis

Author : Kamta Rai
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Shrinkage Estimation in Nonparametric Bayesian Survival Analysis by : Kamta Rai

Download or read book Shrinkage Estimation in Nonparametric Bayesian Survival Analysis written by Kamta Rai and published by . This book was released on 1979 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Improving Efficiency by Shrinkage

Author : Marvin Gruber
Publisher : Routledge
ISBN 13 : 1351439154
Total Pages : 664 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Improving Efficiency by Shrinkage by : Marvin Gruber

Download or read book Improving Efficiency by Shrinkage written by Marvin Gruber and published by Routledge. This book was released on 2017-11-01 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a treatment of different kinds of James-Stein and ridge regression estimators from a frequentist and Bayesian point of view. The book explains and compares estimators analytically as well as numerically and includes Mathematica and Maple programs used in numerical comparison.;College or university bookshops may order five or more copies at a special student rate, available on request.

Handbook of Financial Econometrics

Author : Yacine Ait-Sahalia
Publisher : Elsevier
ISBN 13 : 0080929842
Total Pages : 809 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Financial Econometrics by : Yacine Ait-Sahalia

Download or read book Handbook of Financial Econometrics written by Yacine Ait-Sahalia and published by Elsevier. This book was released on 2009-10-19 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original articles—8 years in the making—shines a bright light on recent advances in financial econometrics. From a survey of mathematical and statistical tools for understanding nonlinear Markov processes to an exploration of the time-series evolution of the risk-return tradeoff for stock market investment, noted scholars Yacine Aït-Sahalia and Lars Peter Hansen benchmark the current state of knowledge while contributors build a framework for its growth. Whether in the presence of statistical uncertainty or the proven advantages and limitations of value at risk models, readers will discover that they can set few constraints on the value of this long-awaited volume. - Presents a broad survey of current research—from local characterizations of the Markov process dynamics to financial market trading activity - Contributors include Nobel Laureate Robert Engle and leading econometricians - Offers a clarity of method and explanation unavailable in other financial econometrics collections

Statistical Portfolio Estimation

Author : Masanobu Taniguchi
Publisher : CRC Press
ISBN 13 : 1351643622
Total Pages : 455 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Statistical Portfolio Estimation by : Masanobu Taniguchi

Download or read book Statistical Portfolio Estimation written by Masanobu Taniguchi and published by CRC Press. This book was released on 2017-09-01 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The composition of portfolios is one of the most fundamental and important methods in financial engineering, used to control the risk of investments. This book provides a comprehensive overview of statistical inference for portfolios and their various applications. A variety of asset processes are introduced, including non-Gaussian stationary processes, nonlinear processes, non-stationary processes, and the book provides a framework for statistical inference using local asymptotic normality (LAN). The approach is generalized for portfolio estimation, so that many important problems can be covered. This book can primarily be used as a reference by researchers from statistics, mathematics, finance, econometrics, and genomics. It can also be used as a textbook by senior undergraduate and graduate students in these fields.

Missing Data and Small-Area Estimation

Author : Nicholas T. Longford
Publisher : Springer Science & Business Media
ISBN 13 : 9781852337605
Total Pages : 384 pages
Book Rating : 4.3/5 (376 download)

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Book Synopsis Missing Data and Small-Area Estimation by : Nicholas T. Longford

Download or read book Missing Data and Small-Area Estimation written by Nicholas T. Longford and published by Springer Science & Business Media. This book was released on 2005-08-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book evolved from lectures, courses and workshops on missing data and small-area estimation that I presented during my tenure as the ?rst C- pion Fellow (2000–2002). For the Fellowship I proposed these two topics as areas in which the academic statistics could contribute to the development of government statistics, in exchange for access to the operational details and background that would inform the direction and sharpen the focus of a- demic research. After a few years of involvement, I have come to realise that the separation of ‘academic’ and ‘industrial’ statistics is not well suited to either party, and their integration is the key to progress in both branches. Most of the work on this monograph was done while I was a visiting l- turer at Massey University, Palmerston North, New Zealand. The hospitality and stimulating academic environment of their Institute of Information S- ence and Technology is gratefully acknowledged. I could not name all those who commented on my lecture notes and on the presentations themselves; apart from them, I want to thank the organisers and silent attendees of all the events, and, with a modicum of reluctance, the ‘grey ?gures’ who kept inquiring whether I was any nearer the completion of whatever stage I had been foolish enough to attach a date.

Proceedings of the Fourteenth International Conference on Management Science and Engineering Management

Author : Jiuping Xu
Publisher : Springer Nature
ISBN 13 : 3030498298
Total Pages : 856 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Proceedings of the Fourteenth International Conference on Management Science and Engineering Management by : Jiuping Xu

Download or read book Proceedings of the Fourteenth International Conference on Management Science and Engineering Management written by Jiuping Xu and published by Springer Nature. This book was released on 2020-06-22 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of the 14th International Conference on Management Science and Engineering Management (ICMSEM 2020). Held at the Academy of Studies of Moldova from July 30 to August 2, 2020, the conference provided a platform for researchers and practitioners in the field to share their ideas and experiences. Covering a wide range of topics, including hot management issues in engineering science, the book presents novel ideas and the latest research advances in the area of management science and engineering management. It includes both theoretical and practical studies of management science applied in computing methodology, highlighting advanced management concepts, and computing technologies for decision-making problems involving large, uncertain and unstructured data. The book also describes the changes and challenges relating to decision-making procedures at the dawn of the big data era, and discusses new technologies for analysis, capture, search, sharing, storage, transfer and visualization, and in the context of privacy violations, as well as advances in the integration of optimization, statistics and data mining. Given its scope, it will appeal to a wide readership, particularly those looking for new ideas and research directions.

Big and Complex Data Analysis

Author : S. Ejaz Ahmed
Publisher : Springer
ISBN 13 : 3319415735
Total Pages : 390 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Big and Complex Data Analysis by : S. Ejaz Ahmed

Download or read book Big and Complex Data Analysis written by S. Ejaz Ahmed and published by Springer. This book was released on 2017-03-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume conveys some of the surprises, puzzles and success stories in high-dimensional and complex data analysis and related fields. Its peer-reviewed contributions showcase recent advances in variable selection, estimation and prediction strategies for a host of useful models, as well as essential new developments in the field. The continued and rapid advancement of modern technology now allows scientists to collect data of increasingly unprecedented size and complexity. Examples include epigenomic data, genomic data, proteomic data, high-resolution image data, high-frequency financial data, functional and longitudinal data, and network data. Simultaneous variable selection and estimation is one of the key statistical problems involved in analyzing such big and complex data. The purpose of this book is to stimulate research and foster interaction between researchers in the area of high-dimensional data analysis. More concretely, its goals are to: 1) highlight and expand the breadth of existing methods in big data and high-dimensional data analysis and their potential for the advancement of both the mathematical and statistical sciences; 2) identify important directions for future research in the theory of regularization methods, in algorithmic development, and in methodologies for different application areas; and 3) facilitate collaboration between theoretical and subject-specific researchers.

Topics in Identification, Limited Dependent Variables, Partial Observability, Experimentation, and Flexible Modeling

Author : Ivan Jeliazkov
Publisher : Emerald Group Publishing
ISBN 13 : 1789732433
Total Pages : 281 pages
Book Rating : 4.7/5 (897 download)

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Book Synopsis Topics in Identification, Limited Dependent Variables, Partial Observability, Experimentation, and Flexible Modeling by : Ivan Jeliazkov

Download or read book Topics in Identification, Limited Dependent Variables, Partial Observability, Experimentation, and Flexible Modeling written by Ivan Jeliazkov and published by Emerald Group Publishing. This book was released on 2019-08-30 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: In honor of Dale J. Poirier, experienced editors Ivan Jeliazkov and Justin Tobias bring together a cast of expert contributors to explore the most up-to-date research on econometrics, including subjects such as panel data models, posterior simulation, and Bayesian models.

Implementing Models in Quantitative Finance: Methods and Cases

Author : Gianluca Fusai
Publisher : Springer Science & Business Media
ISBN 13 : 3540499598
Total Pages : 606 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Implementing Models in Quantitative Finance: Methods and Cases by : Gianluca Fusai

Download or read book Implementing Models in Quantitative Finance: Methods and Cases written by Gianluca Fusai and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts numerical methods in action for the purpose of solving practical problems in quantitative finance. The first part develops a toolkit in numerical methods for finance. The second part proposes twenty self-contained cases covering model simulation, asset pricing and hedging, risk management, statistical estimation and model calibration. Each case develops a detailed solution to a concrete problem arising in applied financial management and guides the user towards a computer implementation. The appendices contain "crash courses" in VBA and Matlab programming languages.

Linear Models

Author : Shayle R. Searle
Publisher : John Wiley & Sons
ISBN 13 : 1118952847
Total Pages : 686 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Linear Models by : Shayle R. Searle

Download or read book Linear Models written by Shayle R. Searle and published by John Wiley & Sons. This book was released on 2016-09-23 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an easy-to-understand guide to statistical linear models and its uses in data analysis This book defines a broad spectrum of statistical linear models that is useful in the analysis of data. Considerable rewriting was done to make the book more reader friendly than the first edition. Linear Models, Second Edition is written in such a way as to be self-contained for a person with a background in basic statistics, calculus and linear algebra. The text includes numerous applied illustrations, numerical examples, and exercises, now augmented with computer outputs in SAS and R. Also new to this edition is: • A greatly improved internal design and format • A short introductory chapter to ease understanding of the order in which topics are taken up • Discussion of additional topics including multiple comparisons and shrinkage estimators • Enhanced discussions of generalized inverses, the MINQUE, Bayes and Maximum Likelihood estimators for estimating variance components Furthermore, in this edition, the second author adds many pedagogical elements throughout the book. These include numbered examples, end-of-example and end-of-proof symbols, selected hints and solutions to exercises available on the book’s website, and references to “big data” in everyday life. Featuring a thorough update, Linear Models, Second Edition includes: • A new internal format, additional instructional pedagogy, selected hints and solutions to exercises, and several more real-life applications • Many examples using SAS and R with timely data sets • Over 400 examples and exercises throughout the book to reinforce understanding Linear Models, Second Edition is a textbook and a reference for upper-level undergraduate and beginning graduate-level courses on linear models, statisticians, engineers, and scientists who use multiple regression or analysis of variance in their work. SHAYLE R. SEARLE, PhD, was Professor Emeritus of Biometry at Cornell University. He was the author of the first edition of Linear Models, Linear Models for Unbalanced Data, and Generalized, Linear, and Mixed Models (with Charles E. McCulloch), all from Wiley. The first edition of Linear Models appears in the Wiley Classics Library. MARVIN H. J. GRUBER, PhD, is Professor Emeritus at Rochester Institute of Technology, School of Mathematical Sciences. Dr. Gruber has written a number of papers and has given numerous presentations at professional meetings during his tenure as a professor at RIT. His fields of interest include regression estimators and the improvement of their efficiency using shrinkage estimators. He has written and published two books on this topic. Another of his books, Matrix Algebra for Linear Models, also published by Wiley, provides good preparation for studying Linear Models. He is a member of the American Mathematical Society, the Institute of Mathematical Statistics and the American Statistical Association.

Recent Advances in Theory and Methods for the Analysis of High Dimensional and High Frequency Financial Data

Author : Norman R. Swanson
Publisher : MDPI
ISBN 13 : 303650852X
Total Pages : 196 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Recent Advances in Theory and Methods for the Analysis of High Dimensional and High Frequency Financial Data by : Norman R. Swanson

Download or read book Recent Advances in Theory and Methods for the Analysis of High Dimensional and High Frequency Financial Data written by Norman R. Swanson and published by MDPI. This book was released on 2021-08-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, considerable attention has been placed on the development and application of tools useful for the analysis of the high-dimensional and/or high-frequency datasets that now dominate the landscape. The purpose of this Special Issue is to collect both methodological and empirical papers that develop and utilize state-of-the-art econometric techniques for the analysis of such data.