Introduction à lapproche bootstrap - Irène Buvat









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Introduction à l'approche bootstrap - Irène Buvat

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214445Introduction à lapproche bootstrap - Irène Buvat

Package 'bootstrap"

October 12, 2022

Version2019.6

Date2019-06-15

TitleFunctions for the Book ``An Introduction to the Bootstrap"" AuthorS original, from StatLib, by Rob Tibshirani. R port by

Friedrich Leisch.

MaintainerScott Kostyshak

Dependsstats, R (>= 2.10.0)

LazyDataTRUE

DescriptionSoftware (bootstrap, cross-validation, jackknife) and data for the book ``An Introduction to the Bootstrap"" by B. Efron and R. Tibshirani, 1993, Chapman and Hall. This package is primarily provided for projects already based on it, and for support of the book. New projects should preferentially use the recommended package ``boot"".

LicenseBSD_3_clause + file LICENSE

URLhttps://gitlab.com/scottkosty/bootstrap

BugReportshttps://gitlab.com/scottkosty/bootstrap/issues

NeedsCompilationyes

RepositoryCRAN

Date/Publication2019-06-17 09:40:08 UTC

Rtopics documented:

abcnon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 abcpar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 bcanon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 bootpred . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 bootstrap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 boott . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 cell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 cholost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1

2abcnon

crossval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 diabetes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 hormone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 jackknife . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 law82 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 lutenhorm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 mouse.c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 mouse.t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
patch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Rainfall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
scor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
spatial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
stamp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
tooth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Index28abcnonNonparametric ABC Confidence LimitsDescription See Efron and Tibshirani (1993) for details on this function. Usage abcnon(x, tt, epsilon=0.001, alpha=c(0.025, 0.05, 0.1, 0.16, 0.84, 0.9, 0.95, 0.975))

Arguments

xthe data. Must be either a vector, or a matrix whose rows are the observations ttfunction defining the parameter in the resampling formtt(p,x), wherepis the vector of proportions andxis the data epsilonoptional argument specifying step size for finite difference calculations alphaoptional argument specifying confidence levels desired Value list with following components limitsThe estimated confidence points, from the ABC and standard normal methods statslist consisting oft0=observed value oftt,sighat=infinitesimal jackknife esti- mate of standard error oftt,bhat=estimated bias constantslist consisting ofa=acceleration constant,z0=bias adjustment,cq=curvature component abcpar3 tt.infapproximate influence components oftt ppmatrix whose rows are the resampling points in the least favourable family. The abc confidence points are the functionttevaluated at these points callThe deparsed call

References

Efron, B, and DiCiccio, T. (1992) More accurate confidence intervals in exponential families.

Biometrika 79, pages 231-245.

Efron, B. and Tibshirani, R. (1993) An Introduction to the Bootstrap. Chapman and Hall, New

York, London.

Examples

# compute abc intervals for the mean x <- rnorm(10) theta <- function(p,x) {sum(p*x)/sum(p)} results <- abcnon(x, theta) # compute abc intervals for the correlation x <- matrix(rnorm(20),ncol=2) theta <- function(p, x) x1m <- sum(p * x[, 1])/sum(p) x2m <- sum(p * x[, 2])/sum(p) num <- sum(p * (x[, 1] - x1m) * (x[, 2] - x2m)) den <- sqrt(sum(p * (x[, 1] - x1m)^2) *

Package 'bootstrap"

October 12, 2022

Version2019.6

Date2019-06-15

TitleFunctions for the Book ``An Introduction to the Bootstrap"" AuthorS original, from StatLib, by Rob Tibshirani. R port by

Friedrich Leisch.

MaintainerScott Kostyshak

Dependsstats, R (>= 2.10.0)

LazyDataTRUE

DescriptionSoftware (bootstrap, cross-validation, jackknife) and data for the book ``An Introduction to the Bootstrap"" by B. Efron and R. Tibshirani, 1993, Chapman and Hall. This package is primarily provided for projects already based on it, and for support of the book. New projects should preferentially use the recommended package ``boot"".

LicenseBSD_3_clause + file LICENSE

URLhttps://gitlab.com/scottkosty/bootstrap

BugReportshttps://gitlab.com/scottkosty/bootstrap/issues

NeedsCompilationyes

RepositoryCRAN

Date/Publication2019-06-17 09:40:08 UTC

Rtopics documented:

abcnon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 abcpar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 bcanon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 bootpred . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 bootstrap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 boott . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 cell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 cholost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1

2abcnon

crossval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 diabetes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 hormone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 jackknife . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 law82 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 lutenhorm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 mouse.c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 mouse.t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
patch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Rainfall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
scor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
spatial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
stamp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
tooth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Index28abcnonNonparametric ABC Confidence LimitsDescription See Efron and Tibshirani (1993) for details on this function. Usage abcnon(x, tt, epsilon=0.001, alpha=c(0.025, 0.05, 0.1, 0.16, 0.84, 0.9, 0.95, 0.975))

Arguments

xthe data. Must be either a vector, or a matrix whose rows are the observations ttfunction defining the parameter in the resampling formtt(p,x), wherepis the vector of proportions andxis the data epsilonoptional argument specifying step size for finite difference calculations alphaoptional argument specifying confidence levels desired Value list with following components limitsThe estimated confidence points, from the ABC and standard normal methods statslist consisting oft0=observed value oftt,sighat=infinitesimal jackknife esti- mate of standard error oftt,bhat=estimated bias constantslist consisting ofa=acceleration constant,z0=bias adjustment,cq=curvature component abcpar3 tt.infapproximate influence components oftt ppmatrix whose rows are the resampling points in the least favourable family. The abc confidence points are the functionttevaluated at these points callThe deparsed call

References

Efron, B, and DiCiccio, T. (1992) More accurate confidence intervals in exponential families.

Biometrika 79, pages 231-245.

Efron, B. and Tibshirani, R. (1993) An Introduction to the Bootstrap. Chapman and Hall, New

York, London.

Examples

# compute abc intervals for the mean x <- rnorm(10) theta <- function(p,x) {sum(p*x)/sum(p)} results <- abcnon(x, theta) # compute abc intervals for the correlation x <- matrix(rnorm(20),ncol=2) theta <- function(p, x) x1m <- sum(p * x[, 1])/sum(p) x2m <- sum(p * x[, 2])/sum(p) num <- sum(p * (x[, 1] - x1m) * (x[, 2] - x2m)) den <- sqrt(sum(p * (x[, 1] - x1m)^2) *