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An Comparison Of The Jacknife And Bootstrap Estimators In Linear Models With Reference To Production Models Used By Sasol
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Book Synopsis The Jackknife, the Bootstrap, and Other Resampling Plans by : Bradley Efron
Download or read book The Jackknife, the Bootstrap, and Other Resampling Plans written by Bradley Efron and published by SIAM. This book was released on 1982-01-31 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph connects the jackknife, the bootstrap, and many other related ideas into a unified exposition.
Book Synopsis Bootstrap Methods by : Gerhard Dikta
Download or read book Bootstrap Methods written by Gerhard Dikta and published by Springer Nature. This book was released on 2021-08-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compact introduction to the bootstrap method. In addition to classical results on point estimation and test theory, multivariate linear regression models and generalized linear models are covered in detail. Special attention is given to the use of bootstrap procedures to perform goodness-of-fit tests to validate model or distributional assumptions. In some cases, new methods are presented here for the first time. The text is motivated by practical examples and the implementations of the corresponding algorithms are always given directly in R in a comprehensible form. Overall, R is given great importance throughout. Each chapter includes a section of exercises and, for the more mathematically inclined readers, concludes with rigorous proofs. The intended audience is graduate students who already have a prior knowledge of probability theory and mathematical statistics.
Book Synopsis Prediction and Improved Estimation in Linear Models by : John Bibby
Download or read book Prediction and Improved Estimation in Linear Models written by John Bibby and published by . This book was released on 1977 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Bootstrap by : Bradley Efron
Download or read book An Introduction to the Bootstrap written by Bradley Efron and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The accuracy of a sample mean; Random samples and probabilities; The empirical distribution function and the plug-in principle; Standard errors and estimated standard errors; The bootstrap estimate of standard error; Bootstrap standard errors: some examples; More complicated data structures; Regression models; Estimates of bias; The jackknife; Confidence intervals based on bootstrap "tables"; Confidence intervals based on bootstrap percentiles; Better bootstrap confidence intervals; Permutation tests; Hypothesis testing with the bootstrap; Cross-validation and other estimates of prediction error; Adaptive estimation and calibration; Assessing the error in bootstrap estimates; A geometrical representation for the bootstrap and jackknife; An overview of nonparametric and parametric inference; Furter topics in bootstrap confidence intervals; Efficient bootstrap computatios; Approximate likelihoods; Bootstrap bioequivalence; Discussion and further topics.
Book Synopsis Bootstrapping by : Christopher Z. Mooney
Download or read book Bootstrapping written by Christopher Z. Mooney and published by SAGE. This book was released on 1993-08-09 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is. . . clear and well-written. . . anyone with any interest in the basis of quantitative analysis simply must read this book. . . . well-written, with a wealth of explanation. . ." --Dougal Hutchison in Educational Research Using real data examples, this volume shows how to apply bootstrapping when the underlying sampling distribution of a statistic cannot be assumed normal, as well as when the sampling distribution has no analytic solution. In addition, it discusses the advantages and limitations of four bootstrap confidence interval methods--normal approximation, percentile, bias-corrected percentile, and percentile-t. The book concludes with a convenient summary of how to apply this computer-intensive methodology using various available software packages.
Book Synopsis Exploring the Limits of Bootstrap by : Raoul LePage
Download or read book Exploring the Limits of Bootstrap written by Raoul LePage and published by John Wiley & Sons. This book was released on 1992-04-16 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the application of bootstrap to problems that place unusual demands on the method. The bootstrap method, introduced by Bradley Efron in 1973, is a nonparametric technique for inferring the distribution of a statistic derived from a sample. Most of the papers were presented at a special meeting sponsored by the Institute of Mathematical Statistics and the Interface Foundation in May, 1990.
Book Synopsis An Introduction to Bootstrap Methods with Applications to R by : Michael R. Chernick
Download or read book An Introduction to Bootstrap Methods with Applications to R written by Michael R. Chernick and published by John Wiley & Sons. This book was released on 2014-08-21 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to bootstrap methods in the R programming environment Bootstrap methods provide a powerful approach to statistical data analysis, as they have more general applications than standard parametric methods. An Introduction to Bootstrap Methods with Applications to R explores the practicality of this approach and successfully utilizes R to illustrate applications for the bootstrap and other resampling methods. This book provides a modern introduction to bootstrap methods for readers who do not have an extensive background in advanced mathematics. Emphasis throughout is on the use of bootstrap methods as an exploratory tool, including its value in variable selection and other modeling environments. The authors begin with a description of bootstrap methods and its relationship to other resampling methods, along with an overview of the wide variety of applications of the approach. Subsequent chapters offer coverage of improved confidence set estimation, estimation of error rates in discriminant analysis, and applications to a wide variety of hypothesis testing and estimation problems, including pharmaceutical, genomics, and economics. To inform readers on the limitations of the method, the book also exhibits counterexamples to the consistency of bootstrap methods. An introduction to R programming provides the needed preparation to work with the numerous exercises and applications presented throughout the book. A related website houses the book's R subroutines, and an extensive listing of references provides resources for further study. Discussing the topic at a remarkably practical and accessible level, An Introduction to Bootstrap Methods with Applications to R is an excellent book for introductory courses on bootstrap and resampling methods at the upper-undergraduate and graduate levels. It also serves as an insightful reference for practitioners working with data in engineering, medicine, and the social sciences who would like to acquire a basic understanding of bootstrap methods.
Book Synopsis Least Squares Regressions with the Bootstrap by : Jonas Böhmer
Download or read book Least Squares Regressions with the Bootstrap written by Jonas Böhmer and published by GRIN Verlag. This book was released on 2009-09 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diploma Thesis from the year 2009 in the subject Statistics, grade: 1,6, University of Bonn (Statistische Abteilung der Rechts- und Staatswissenschaftlichen Fakult t), course: Diplomarbeit bei Prof.Dr. Alois Kneip, language: English, abstract: The statistical technique called bootstrap is usable with a lot of inferential problems and it is the main topic of this paper. Since the bootstrap provides material for a whole series of books it is essential to pick one special aspect of the bootstrap and investigate it in depth, otherwise the analysis would inevitably become too general. This aspect is the topic of regression. Hence, this paper will introduce the bootstrap and compare the performance of the new inference methods which it provides with some classical methods of judging a regression which were used in the years before the bootstrap. Therefore the remainder of this paper is as follows: First there will be a description of the basic model in which all of the following investigations will be done, chapter two. The next chapter will describe the different regression techniques which try to solve the model. The fourth chapter is going to show the behavior of these regression techniques in large samples, i.e. shows some classical methods of statistical inference. Following chapter five will give an introduction to the bootstrap which will be succeeded by a description of the bootstrap in regression problems, chapter six. The seventh chapter will show how inference is done with the help of the bootstrap. The eighth chapter is going to compare the performances of classical and bootstrap inference in regressions. Before the concluding remarks of chapter ten, there will be a practical application in chapter nine which tries to prove some observations of the preceeding chapters.
Book Synopsis Estimation of M-equation Linear Models Subject to a Constraint on the Endogenous Variables by : Charles Stockton Roehrig
Download or read book Estimation of M-equation Linear Models Subject to a Constraint on the Endogenous Variables written by Charles Stockton Roehrig and published by Routledge. This book was released on 2018-03-05 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1984. This book brings together a reasonably complete set of results regarding the use of Constraint Item estimation procedures under the assumption of accurate specification. The analysis covers the case of all explanatory variables being non-stochastic as well as the case of identified simultaneous equations, with error terms known and unknown. Particular emphasis is given to the derivation of criteria for choosing the Constraint Item. Part 1 looks at the best CI estimators and Part 2 examines equation by equation estimation, considering forecasting accuracy.
Book Synopsis A Family of Improved Estimators in Linear Regression Models with Errors Having Multivariate Student-t Distribution by : Radhey S. Singh
Download or read book A Family of Improved Estimators in Linear Regression Models with Errors Having Multivariate Student-t Distribution written by Radhey S. Singh and published by . This book was released on 1987 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Reduced Risk Estimation in Linear Models by : Erkki Liski
Download or read book On Reduced Risk Estimation in Linear Models written by Erkki Liski and published by . This book was released on 1979 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bootstrap Methods and Their Application by : A. C. Davison
Download or read book Bootstrap Methods and Their Application written by A. C. Davison and published by Cambridge University Press. This book was released on 1997-10-28 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disk contains the library functions and documentation for use with Splus for Windows.
Book Synopsis A Comparison of Estimators for Undersized Samples by : P. A. V. B. Swamy
Download or read book A Comparison of Estimators for Undersized Samples written by P. A. V. B. Swamy and published by . This book was released on 1979 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regression Estimators by : Marvin H. J. Gruber
Download or read book Regression Estimators written by Marvin H. J. Gruber and published by Academic Press. This book was released on 2014-05-10 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression Estimators: A Comparative Study presents, compares, and contrasts the development and the properties of the ridge type estimators that result from both Bayesian and non-Bayesian (frequentist) methods. The book is divided into four parts. The first part (Chapters I and II) discusses the need for alternatives to least square estimators, gives a historical survey of the literature and summarizes basic ideas in Matrix Theory and Statistical Decision Theory used throughout the book. The second part (Chapters III and IV) covers the estimators from both the Bayesian and from the frequentist points of view and explores the mathematical relationships between them. The third part (Chapters V-VIII) considers the efficiency of the estimators with and without averaging over a prior distribution. Part IV, the final two chapters IX and X, suggests applications of the methods and results of Chapters III-VII to Kaiman Filters and Analysis of Variance, two very important areas of application. Statisticians and workers in fields that use statistical methods who would like to know more about the analytical properties of ridge type estimators will find the book invaluable.
Book Synopsis Disturbances in the linear model, estimation and hypothesis testing by : C. Dubbelman
Download or read book Disturbances in the linear model, estimation and hypothesis testing written by C. Dubbelman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1. The general linear model All econometric research is based on a set of numerical data relating to certain economic quantities, and makes infer ences from the data about the ways in which these quanti ties are related (Malinvaud 1970, p. 3). The linear relation is frequently encountered in applied econometrics. Let y and x denote two economic quantities, then the linear relation between y and x is formalized by: where {31 and {32 are constants. When {31 and {32 are known numbers, the value of y can be calculated for every given value of x. Here y is the dependent variable and x is the explanatory variable. In practical situations {31 and {32 are unknown. We assume that a set of n observations on y and x is available. When plotting the ob served pairs (x l' YI)' (x ' Y2)' . . . , (x , Y n) into a diagram with x 2 n measured along the horizontal axis and y along the vertical axis it rarely occurs that all points lie on a straight line. Generally, no b 1 and b exist such that Yi = b + b x for i = 1,2, . . . ,n. Unless 2 l 2 i the diagram clearly suggests another type of relation, for instance quadratic or exponential, it is customary to adopt linearity in order to keep the analysis as simple as possible.
Book Synopsis Bootstrapping and Related Techniques by : Karl-Heinz Jöckel
Download or read book Bootstrapping and Related Techniques written by Karl-Heinz Jöckel and published by Springer. This book was released on 1992 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bootstrap Tests for Regression Models by : L. Godfrey
Download or read book Bootstrap Tests for Regression Models written by L. Godfrey and published by Springer. This book was released on 2009-07-29 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible discussion examining computationally-intensive techniques and bootstrap methods, providing ways to improve the finite-sample performance of well-known asymptotic tests for regression models. This book uses the linear regression model as a framework for introducing simulation-based tests to help perform econometric analyses.
