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Estimation Of Mean Square Error Of Empirical Best Linear Unbiased Predictors Under A Random Error Variance Linear Model
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Download or read book Working paper written by J. Kleffe and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimation of Mean Square Error of Empirical Best Linear Unbiased Predictors Under a Random Error Variance Linear Model by : Jürgen Kleffe
Download or read book Estimation of Mean Square Error of Empirical Best Linear Unbiased Predictors Under a Random Error Variance Linear Model written by Jürgen Kleffe and published by . This book was released on 1991 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Small Area Estimation by : J. N. K. Rao
Download or read book Small Area Estimation written by J. N. K. Rao and published by John Wiley & Sons. This book was released on 2015-08-10 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "This pioneering work, in which Rao provides a comprehensive and up-to-date treatment of small area estimation, will become a classic...I believe that it has the potential to turn small area estimation...into a larger area of importance to both researchers and practitioners." —Journal of the American Statistical Association Written by two experts in the field, Small Area Estimation, Second Edition provides a comprehensive and up-to-date account of the methods and theory of small area estimation (SAE), particularly indirect estimation based on explicit small area linking models. The model-based approach to small area estimation offers several advantages including increased precision, the derivation of "optimal" estimates and associated measures of variability under an assumed model, and the validation of models from the sample data. Emphasizing real data throughout, the Second Edition maintains a self-contained account of crucial theoretical and methodological developments in the field of SAE. The new edition provides extensive accounts of new and updated research, which often involves complex theory to handle model misspecifications and other complexities. Including information on survey design issues and traditional methods employing indirect estimates based on implicit linking models, Small Area Estimation, Second Edition also features: Additional sections describing the use of R code data sets for readers to use when replicating applications Numerous examples of SAE applications throughout each chapter, including recent applications in U.S. Federal programs New topical coverage on extended design issues, synthetic estimation, further refinements and solutions to the Fay-Herriot area level model, basic unit level models, and spatial and time series models A discussion of the advantages and limitations of various SAE methods for model selection from data as well as comparisons of estimates derived from models to reliable values obtained from external sources, such as previous census or administrative data Small Area Estimation, Second Edition is an excellent reference for practicing statisticians and survey methodologists as well as practitioners interested in learning SAE methods. The Second Edition is also an ideal textbook for graduate-level courses in SAE and reliable small area statistics.
Download or read book Proceedings written by and published by . This book was released on 1994 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimation of Prediction Mean Squared Error in Linear Mixed Models by : Lyu Ziyang
Download or read book Estimation of Prediction Mean Squared Error in Linear Mixed Models written by Lyu Ziyang and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Best linear unbiased estimators (BLUEs) theta and predictors (BLUPs) of the fixed and random effects of mixed linear models are available when the true values of the variance components are known. When the true values theta are replaced by estimated values to produce estimated best linear unbiased predictors (EBLUPs), the mean squared errors (MSE) of the predictors of random effects increase in size. Henderson (1975) suggested using the naive estimator of the MSE of the EBLUP obtained by replacing theta by hat of theta in the expression of the MSE of the BLUP. However, this is an underestimate. In this thesis we will study three ways to estimate the MSE of the EBLUP. We describe how Kackar and Harville (1984) obtained an estimator to the MSE of EBLUP under the linear mixed model. We also study another estimator, which Prasad and Rao (1990) proposed, based on Kackar and Harville (1984). We apply both methods to two sample models and to see how they differ. We also describe Jiang et al. (2002) jackknife estimator and Lohr and Rao (2009) modified jackknife estimator. We report the results of a small simulation study to compare the different estimators.
Book Synopsis Survey Sampling Theory and Applications by : Raghunath Arnab
Download or read book Survey Sampling Theory and Applications written by Raghunath Arnab and published by Academic Press. This book was released on 2017-03-08 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students. - Covers a wide spectrum of topics on survey sampling and statistics - Serves as an ideal text for graduate students and researchers in survey sampling theory and applications - Contains material on recent developments in survey sampling not covered in other books - Illustrates theories using numerical examples and exercises
Book Synopsis Statistical Analysis of Measurement Error Models and Applications by : Philip J. Brown
Download or read book Statistical Analysis of Measurement Error Models and Applications written by Philip J. Brown and published by American Mathematical Soc.. This book was released on 1990 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement error models describe functional relationships among variables observed, subject to random errors of measurement. This book treats general aspects of the measurement problem and features a discussion of the history of measurement error models.
Book Synopsis Advances on Methodological and Applied Aspects of Probability and Statistics by : N. Balakrishnan
Download or read book Advances on Methodological and Applied Aspects of Probability and Statistics written by N. Balakrishnan and published by CRC Press. This book was released on 2004-03-01 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of two volumes that sets forth invited papers presented at the International Indian Statistical Association Conference. This volume emphasizes advancements in methodology and applications of probability and statistics. The chapters, representing the ideas of vanguard researchers on the topic, present several different subspecialties, including applied probability, models and applications, estimation and testing, robust inference, regression and design and sample size methodology. The text also fully describes the applications of these new ideas to industry, ecology, biology, health, economics and management. Researchers and graduate students in mathematical analysis, as well as probability and statistics professionals in industry, will learn much from this volume.
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.
Book Synopsis ICSA 2019 by : Farit Mochamad Afendi
Download or read book ICSA 2019 written by Farit Mochamad Afendi and published by European Alliance for Innovation. This book was released on 2019-08-02 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference serves as a means of presenting and discussing various research results among academics, researchers, and practitioners in the fields of statistics, analytics, computing, data science, and its application. Based on 110 papers that have been presented there are three main topics as the focus of the discussion, namely Statistical Modeling, Predictive Analytics, and Pattern Learning. The approach is in the form of a study to obtain a valid methodology for extracting, collecting, storing, analyzing, and visualizing data including those derived from big data. The application studies cover various fields such as agriculture, climate, energy, industry, business, social, and so on. The conference is expected to be able to provide solutions to various problems in various fields through statistical and analytical approaches.
Book Synopsis Statistical Theory and Method Abstracts by :
Download or read book Statistical Theory and Method Abstracts written by and published by . This book was released on 2001 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Survey Sampling by : Parimal Mukhopadhyay
Download or read book Topics in Survey Sampling written by Parimal Mukhopadhyay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to make a comprehensive review on some of the research topics in the area of survey sampling which has not been covered in any book yet. The proposed book aims at making a comprehensive review of applications of Bayes procedures, Empirical Bayes procedures and their ramifications (like linear Bayes estimation, restricted Bayes least square prediction, constrained Bayes estimation, Bayesian robustness) in making inference from a finite population sampling. Parimal Mukhopadhyay is Professor at the Indian Statistical Institute (ISI), Calcutta. He received his Ph.D. degree in Statistics from the University of Calcutta in 1977. He also served as a faculty member in the University of Ife, Nigeria, Moi University, Kenya, University of South Pacific, Fiji Islands and held visiting positions at University of Montreal, University of Windsor, Stockholm University, University of Western Australia, etc. He has to his credit more than fifty research papers in Survey Sampling, some co-authored, three text books on Statistics and three research monographs in Survey Sampling. He is a member of the Institute of Mathematical Statistics and an elected member of the International Statistical Institute.
Book Synopsis Journal of the American Statistical Association by :
Download or read book Journal of the American Statistical Association written by and published by . This book was released on 2003 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course on Small Area Estimation and Mixed Models by : Domingo Morales
Download or read book A Course on Small Area Estimation and Mixed Models written by Domingo Morales and published by Springer Nature. This book was released on 2021-03-12 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook explores small area estimation techniques, covers the underlying mathematical and statistical theory and offers hands-on support with their implementation. It presents the theory in a rigorous way and compares and contrasts various statistical methodologies, helping readers understand how to develop new methodologies for small area estimation. It also includes numerous sample applications of small area estimation techniques. The underlying R code is provided in the text and applied to four datasets that mimic data from labor markets and living conditions surveys, where the socioeconomic indicators include the small area estimation of total unemployment, unemployment rates, average annual household incomes and poverty indicators. Given its scope, the book will be useful for master and PhD students, and for official and other applied statisticians.
Book Synopsis Advanced Sampling Theory With Applications by : Sarjinder Singh
Download or read book Advanced Sampling Theory With Applications written by Sarjinder Singh and published by Springer Science & Business Media. This book was released on 2003 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive expose of basic and advanced sampling techniques along with their applications in the diverse fields of science and technology.
Download or read book Survey Methodology written by and published by . This book was released on 2008 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Estimation of the Mean Squared Error in Small Area Estimation and Related Topics by : En-Tzu Tang
Download or read book On Estimation of the Mean Squared Error in Small Area Estimation and Related Topics written by En-Tzu Tang and published by . This book was released on 2008 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: