Efron, Bradley
Overview
Works:  168 works in 559 publications in 2 languages and 3,664 library holdings 

Genres:  History 
Roles:  Author, Thesis advisor, wpr, Editor, Speaker 
Classifications:  QA276.8, 519.544 
Publication Timeline
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Most widely held works about
Bradley Efron
 The science of Bradley Efron : selected papers by Bradley Efron( Book )
Most widely held works by
Bradley Efron
An introduction to the bootstrap by
Bradley Efron(
Book
)
36 editions published between 1993 and 2000 in English and held by 1,091 WorldCat member libraries worldwide
The accuracy of a simple mean  Random simples and probabilities  The empirical distribution function and the plugin 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  Crossvalidation 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  Further topics in bootstrap confidence intervals  Efficient bootstrap computations  Approximate likelihoods  Bootstrap bioequivalence  Discussion and further topics
36 editions published between 1993 and 2000 in English and held by 1,091 WorldCat member libraries worldwide
The accuracy of a simple mean  Random simples and probabilities  The empirical distribution function and the plugin 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  Crossvalidation 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  Further topics in bootstrap confidence intervals  Efficient bootstrap computations  Approximate likelihoods  Bootstrap bioequivalence  Discussion and further topics
The jackknife, the bootstrap, and other resampling plans by
Bradley Efron(
Book
)
48 editions published between 1980 and 1994 in English and Undetermined and held by 766 WorldCat member libraries worldwide
The jackknife and the bootstrap are nonparametric methods for assessing the errors in a statistical estimation problem. They provide several advantages over the traditional parametric approach: the methods are easy to describe and they apply to arbitrarily complicated situations; distribution assumptions, such as normality, are never made. This monograph connects the jackknife, the bootstrap, and many other related ideas such as crossvalidation, random subsampling, and balanced repeated replications into a unified exposition. The theoretical development is at an easy mathematical level and is supplemented by a large number of numerical examples. The methods described in this monograph form a useful set of tools for the applied statistician. They are particularly useful in problem areas where complicated data structures are common, for example, in censoring, missing data, and highly multivariate situations
48 editions published between 1980 and 1994 in English and Undetermined and held by 766 WorldCat member libraries worldwide
The jackknife and the bootstrap are nonparametric methods for assessing the errors in a statistical estimation problem. They provide several advantages over the traditional parametric approach: the methods are easy to describe and they apply to arbitrarily complicated situations; distribution assumptions, such as normality, are never made. This monograph connects the jackknife, the bootstrap, and many other related ideas such as crossvalidation, random subsampling, and balanced repeated replications into a unified exposition. The theoretical development is at an easy mathematical level and is supplemented by a large number of numerical examples. The methods described in this monograph form a useful set of tools for the applied statistician. They are particularly useful in problem areas where complicated data structures are common, for example, in censoring, missing data, and highly multivariate situations
Largescale inference : empirical Bayes methods for estimation, testing, and prediction by
Bradley Efron(
Book
)
26 editions published between 2010 and 2013 in English and held by 284 WorldCat member libraries worldwide
Bradley Efron explains how to perform thousands of simultaneous estimates and tests, as required by new scientific technology
26 editions published between 2010 and 2013 in English and held by 284 WorldCat member libraries worldwide
Bradley Efron explains how to perform thousands of simultaneous estimates and tests, as required by new scientific technology
Computer age statistical inference : algorithms, evidence, and data science by
Bradley Efron(
Book
)
9 editions published in 2016 in English and held by 126 WorldCat member libraries worldwide
The twentyfirst century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories  Bayesian, frequentist, Fisherian  individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.  Provided by publisher
9 editions published in 2016 in English and held by 126 WorldCat member libraries worldwide
The twentyfirst century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories  Bayesian, frequentist, Fisherian  individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.  Provided by publisher
Data analysis using Stein's estimator and its generalizations by
Bradley Efron(
Book
)
3 editions published between 1974 and 1975 in English and held by 62 WorldCat member libraries worldwide
3 editions published between 1974 and 1975 in English and held by 62 WorldCat member libraries worldwide
Multivariate empirical Bayes and estimation of covariance matrices by
Bradley Efron(
Book
)
4 editions published between 1970 and 1974 in English and held by 58 WorldCat member libraries worldwide
The problem of estimating a covariance matrix in the standard multivariate normal situation is considered. The loss function is one obtained naturally from the problem of estimating several normal mean vectors in an empirical Bayes Situation. Estimators which dominate any constant multiple of the sample covariance matrix are presented. These estimators work by shrinking the sample eigenvalues toward a central value, in much the same way as the JamesStein estimator for a mean vector shrinks the maximum likelihood estimators toward a common value
4 editions published between 1970 and 1974 in English and held by 58 WorldCat member libraries worldwide
The problem of estimating a covariance matrix in the standard multivariate normal situation is considered. The loss function is one obtained naturally from the problem of estimating several normal mean vectors in an empirical Bayes Situation. Estimators which dominate any constant multiple of the sample covariance matrix are presented. These estimators work by shrinking the sample eigenvalues toward a central value, in much the same way as the JamesStein estimator for a mean vector shrinks the maximum likelihood estimators toward a common value
Families of minimax estimators of the mean of a multivariate normal distribution by
Bradley Efron(
Book
)
4 editions published between 1970 and 1974 in English and held by 54 WorldCat member libraries worldwide
Ever since Charles Stein proved that for squared error loss the sample mean X of a multivariate normal distribution is an inadmissible estimator of its expectation theta, statisticians have searched for uniformly better (minimax) estimators with good properties. Stein has found an unbiased estimator for the risk function of an arbitrary estimator of theta, when the dispersion matrix sigma of X is known. The authors extend this very useful result to include unbiased estimates of the risk function in two cases where sigma must be estimated. This formula is used in the main theorem, to obtain more general conditions than previously published. Finally it is proven that the limited translation estimators, which are not orthogonally invariant, of Efron and Morris are minimax
4 editions published between 1970 and 1974 in English and held by 54 WorldCat member libraries worldwide
Ever since Charles Stein proved that for squared error loss the sample mean X of a multivariate normal distribution is an inadmissible estimator of its expectation theta, statisticians have searched for uniformly better (minimax) estimators with good properties. Stein has found an unbiased estimator for the risk function of an arbitrary estimator of theta, when the dispersion matrix sigma of X is known. The authors extend this very useful result to include unbiased estimates of the risk function in two cases where sigma must be estimated. This formula is used in the main theorem, to obtain more general conditions than previously published. Finally it is proven that the limited translation estimators, which are not orthogonally invariant, of Efron and Morris are minimax
Simultaneous estimation of parameters by
Bradley Efron(
Book
)
4 editions published between 1969 and 1972 in English and held by 50 WorldCat member libraries worldwide
The paper provides an elementary introduction to Stein's estimator and its relation to compound Bayes and empirical Bayes estimation methods. (Author)
4 editions published between 1969 and 1972 in English and held by 50 WorldCat member libraries worldwide
The paper provides an elementary introduction to Stein's estimator and its relation to compound Bayes and empirical Bayes estimation methods. (Author)
Limiting the risk of Bayes and empirical Bayes estimators, part II: The empirical Bayes case by
Bradley Efron(
Book
)
2 editions published in 1971 in English and held by 47 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 47 WorldCat member libraries worldwide
Le bootstrap et ses applications : discrimination & régression by
Bradley Efron(
Book
)
4 editions published between 1995 and 2001 in French and held by 20 WorldCat member libraries worldwide
4 editions published between 1995 and 2001 in French and held by 20 WorldCat member libraries worldwide
The science of Bradley Efron : selected papers by
Bradley Efron(
Book
)
6 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
6 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
Optimum evasion versus systematic search by
Bradley Efron(
Book
)
2 editions published in 1963 in English and held by 8 WorldCat member libraries worldwide
The solution of the following hide and seek game is presented: At each move Player I, the evader, is allowed to hide in one room, while Player II, the searcher, is allowed to search some given number of rooms. The restriction is made that Player II searches without repetition, that is, he is never allowed to return to a room he has previously searched. It is shown that if the payoff to Player I is any increasing function of the number of moves before capture, his best strategy is also never to return to a room in which he has previously hidden. A formula for the value of the game is presented
2 editions published in 1963 in English and held by 8 WorldCat member libraries worldwide
The solution of the following hide and seek game is presented: At each move Player I, the evader, is allowed to hide in one room, while Player II, the searcher, is allowed to search some given number of rooms. The restriction is made that Player II searches without repetition, that is, he is never allowed to return to a room he has previously searched. It is shown that if the payoff to Player I is any increasing function of the number of moves before capture, his best strategy is also never to return to a room in which he has previously hidden. A formula for the value of the game is presented
The convex hull of a random set of points by
Bradley Efron(
Book
)
3 editions published between 1964 and 1965 in English and held by 6 WorldCat member libraries worldwide
Various expectations concerning the convex hull of N independently and identically distributed random points in the plane or in space were evaluated. Integral expressions were given for the expected area, expected perimeter, expected probability content, and expected number of sides. These integrals were shown to be particularly simple when the underlying distribution is normal or uniform over a disk or sphere. (Author)
3 editions published between 1964 and 1965 in English and held by 6 WorldCat member libraries worldwide
Various expectations concerning the convex hull of N independently and identically distributed random points in the plane or in space were evaluated. Integral expressions were given for the expected area, expected perimeter, expected probability content, and expected number of sides. These integrals were shown to be particularly simple when the underlying distribution is normal or uniform over a disk or sphere. (Author)
The problem of regions by
Bradley Efron(
Book
)
5 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
5 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
The bootstrap method for assessing statistical accuracy by
Bradley Efron(
Book
)
5 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
This is an invited review of bootstrap methods. It begins with an exposition of the bootstrap estimate of standard error for onesample situations. Several examples, some involving quite complicated statistical procedures, are given. The bootstrap is then extended to other measures of statistical accuracy, like bias and prediction error, and to complicated data structures such as time series, censored data, and regression models. Several more examples are presented illustrating these ideas. The last third of the paper deals mainly with bootstrap confidence intervals. The paper ends with a FORTRAN program for bootstrap standard errors
5 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
This is an invited review of bootstrap methods. It begins with an exposition of the bootstrap estimate of standard error for onesample situations. Several examples, some involving quite complicated statistical procedures, are given. The bootstrap is then extended to other measures of statistical accuracy, like bias and prediction error, and to complicated data structures such as time series, censored data, and regression models. Several more examples are presented illustrating these ideas. The last third of the paper deals mainly with bootstrap confidence intervals. The paper ends with a FORTRAN program for bootstrap standard errors
Multivariate analysis in the computer age by
Bradley Efron(
Book
)
5 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
Computer intensive methods in statistics by
Stanford University(
Book
)
6 editions published between 1980 and 1983 in English and held by 4 WorldCat member libraries worldwide
6 editions published between 1980 and 1983 in English and held by 4 WorldCat member libraries worldwide
Jackknifeafterbootstrap standard errors and influence functions by
Bradley Efron(
Book
)
5 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
5 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
Bayes and likelihood calculations from confidence intervals by
Bradley Efron(
Book
)
6 editions published between 1991 and 1992 in English and held by 3 WorldCat member libraries worldwide
6 editions published between 1991 and 1992 in English and held by 3 WorldCat member libraries worldwide
Empirical Bayes methods for combining likelihoods by
Bradley Efron(
Book
)
5 editions published in 1994 in English and held by 3 WorldCat member libraries worldwide
5 editions published in 1994 in English and held by 3 WorldCat member libraries worldwide
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Related Identities
 Tibshirani, Robert Thesis advisor Author
 Morris, Carl N.
 Rand Corporation
 Hastie, Trevor Other Thesis advisor
 Stanford University Department of Statistics
 Morris, Carl
 National Science Foundation (U.S.)
 Stanford University Division of Biostatistics
 United States Public Health Service
 Society for Industrial and Applied Mathematics
Useful Links
Associated Subjects
Bayesian statistical decision theory Bootstrap (Statistics) Efron, Bradley Error analysis (Mathematics) Estimation theory Game theory Jackknife (Statistics) Machine learningStatistical methods Mathematical statistics Mathematical statisticsData processing Mathematics Multivariate analysis Parameter estimation Probabilities Random sets Resampling (Statistics) Sampling (Statistics) Statistical decision Statistics
Alternative Names
Bradley Efron Amerikaans bioinformaticus
Bradley Efron statisticien américain
Bradley Efron statistico statunitense
Bradley Efron USamerikanischer Statistiker und Professor der Stanford University
Èfron, B.
Efron, B. 1938
Efron Brad
Efron, Brad 1938
Эфрон, Брэдли
برادلي إيفرون
بردلی افرون
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