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Package: rlmDataDriven | ||
Type: Package | ||
Title: Robust Regression with Data Driven Tuning Parameter | ||
Version: 0.1.0 | ||
Version: 0.2.0 | ||
Author: You-Gan Wang | ||
Maintainer: The package maintainer <you-gan.wang@qut.edu.au> | ||
Imports: stats, MASS | ||
Description: Data driven approach for robust regression estimation. | ||
See Wang et al. (2007), <doi:10.1198/106186007X180156>. | ||
Imports: stats, MASS, tseries | ||
Description: Data driven approach for robust regression estimation in homoscedastic and heteroscedastic context. See Wang et al. (2007), <doi:10.1198/106186007X180156> regarding homoscedastic framework. | ||
License: GPL (>= 2.0) | ||
Encoding: UTF-8 | ||
LazyData: true | ||
RoxygenNote: 6.1.0 | ||
NeedsCompilation: no | ||
Packaged: 2018-08-10 04:37:08 UTC; wangy | ||
Packaged: 2019-02-13 04:45:42 UTC; liquetwe | ||
Repository: CRAN | ||
Date/Publication: 2018-09-17 15:10:03 UTC | ||
Date/Publication: 2019-02-13 06:50:04 UTC |
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3f3e1c776ddd3574b88183e68b2d686a *DESCRIPTION | ||
e684857efafa7b194d6d0459581b4b22 *NAMESPACE | ||
2bae9720c36a6d5ea17f668691892b0f *R/DD-internal.R | ||
8db8b586ba39d089c62d7346ca292afc *DESCRIPTION | ||
83af3ef5dc9d34f8c8636e908f2db9af *NAMESPACE | ||
a856d9caba372bc66122240d916e9754 *R/DD-internal.R | ||
2801b315c3d0a5a1cb7b2af36ff8b95a *R/rlmDD.R | ||
98b0f6d67265eb93b6cdda6045faffc5 *R/rlmDD_het.R | ||
611920c4014bf0220079dab79a9f8d38 *R/whm.R | ||
86db0b2c4c3a8a7f44ae40bbaf3ab29e *data/plasma.RData | ||
4f1e7315c723f966f354edb580e1ef61 *man/DD-internal.Rd | ||
1cbee3fec615e7b13578f68d8ffc1f75 *man/DD-internal.Rd | ||
887918ce9fb1ef10e70d2bcaff33e50e *man/plasma.Rd | ||
b09ddfb1b3755e554a3d4070a3dca96a *man/rlmDD.Rd | ||
ba7fcd8d357187f8d5fc09425658376f *man/rlmDD.Rd | ||
0ed97475764a9ede18e52152941f939a *man/rlmDD_het.Rd | ||
505e7f3a60fe4534f1195efd8c708c34 *man/whm.Rd |
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exportPattern("^[[:alpha:]]+") | ||
importFrom("utils", "data") | ||
importFrom("utils", "data", "setTxtProgressBar", "txtProgressBar") | ||
importFrom("MASS","rlm") | ||
importFrom("MASS","psi.huber") | ||
importFrom("MASS","psi.bisquare") | ||
importFrom("stats", "lm", "median") | ||
importFrom("graphics", "axis", "legend") | ||
importFrom("stats", "mad") | ||
importFrom("stats", "mad", "pacf", "uniroot", "var") | ||
import("tseries") | ||
export(eff,ESL_O) | ||
export(rho.h,psi.Huber,dpsi.Huber) | ||
export(rho.b,psi.Tukey,dpsi.Tukey) | ||
export(rho.e,psi.Exp,dpsi.Exp) | ||
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export(chi,create_lag) | ||
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##huber's function | ||
psi.Huber<-function(r,c) | ||
{ | ||
newr<-pmin(c,pmax(r,-c)) | ||
newr | ||
} | ||
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##derivative of huber's function | ||
dpsi.Huber<-function(r,c) | ||
{ | ||
newr<-as.numeric(abs(r)<=c) | ||
newr | ||
} | ||
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##bisquare's function | ||
psi.Tukey<-function(r,c) | ||
{ | ||
r<-pmin(c,pmax(r,-c)) | ||
newr<-r*(1-(r/c)^2)^2 | ||
newr | ||
} | ||
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##derivative of bisquare's function | ||
dpsi.Tukey<-function(r,c) | ||
{ | ||
r<-pmin(c,pmax(r,-c)) | ||
newr<-(1-(r/c)^2)*(1-5*(r/c)^2) | ||
newr | ||
} | ||
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##modified huber's function | ||
psi.Exp<-function(r,c) | ||
{ | ||
newr<-r*exp(-(r/c)^2) | ||
newr | ||
} | ||
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##derivative of modified huber's function | ||
dpsi.Exp<-function(r,c) | ||
{ | ||
newr<-(1-(2*r^2)/c^2)*exp(-(r/c)^2) | ||
newr | ||
} | ||
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##find the most efficient tuning constant | ||
eff<-function(r,method,plot) | ||
{ | ||
nn<- length(r) | ||
if (method =="Huber") | ||
{ | ||
tau<-(1:30)/10 | ||
new<-unlist(lapply(tau,FUN=function(x){(sum(dpsi.Huber(r,x)))^2/(nn*sum(psi.Huber(r,x)^2))})) | ||
} | ||
else if (method=="Bisquare") | ||
{ | ||
tau<-(15.48:59.48)/10 | ||
new<-unlist(lapply(tau,FUN=function(x){(sum(dpsi.Tukey(r,x)))^2/(nn*sum(psi.Tukey(r,x)^2))})) | ||
} | ||
else if (method=="Exponential") | ||
{ | ||
tau<-(5:100)/10 | ||
new<-unlist(lapply(tau,FUN=function(x){(sum(dpsi.Exp(r,x)))^2/(nn*sum(psi.Exp(r,x)^2))})) | ||
} | ||
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if (plot =="Y") | ||
{ | ||
plot(new, type="o", xaxt = "n", xlab="Tunning parameter", | ||
ylab="Efficiency",ylim=c(0,max(new)*1.3)) | ||
axis(1, at=seq_along(tau), labels=tau) | ||
if (method =="Exponential") { | ||
legend(length(tau)*0.8,max(new)*1.3,c("Exp"),bty = "n") | ||
} else { | ||
legend(length(tau)*0.8,max(new)*1.3,c(method),bty = "n") | ||
} | ||
} | ||
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xx<- order(new) | ||
return(tau[xx[length(tau)]]) | ||
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} | ||
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rho.h<-function(u,c){ | ||
phi<-0; | ||
x1<-(abs(u)<=c) | ||
phi<-x1* (u^2/2) + (1-x1)*(abs(u)*c-c^2/2) | ||
phi | ||
} | ||
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rho.b<-function(u,c){ | ||
phi<-0; | ||
x1<-(abs(u)<=c) | ||
phi<-x1*(1-(1-(u/c)^2)^3) + (1-x1) | ||
phi | ||
} | ||
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rho.e<-function(u,c){ | ||
1-exp(-(u/c)^2) | ||
} | ||
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ESL_O<-function(x,xx,y,beta,newc,maxit=500, toler=1e-6) | ||
{ | ||
it=0;delta=1; | ||
while (delta>toler && it<maxit){ | ||
it<-it+1; | ||
beta0<-beta; | ||
w<-0; | ||
e<-y-x%*%beta0; | ||
S_n<-max(mad(e),1e-6) | ||
u<-e/S_n | ||
for(i in seq_along(u)){ | ||
w[i]<-exp(-(u[i]/newc)^2); | ||
} | ||
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W<-diag(w); | ||
#beta<-solve(t(x)%*%W%*%x)%*%t(x)%*%W%*%y; | ||
rlm1<-rlm(y~xx,psi=psi.huber,weights=w,k=newc) | ||
beta<-rlm1$coef | ||
r2<-summary(lm(y~xx,weights=w))$r.squared | ||
delta<-sqrt(sum((beta-beta0)^2)); | ||
} | ||
list(esti=rlm1, Std.Error=summary(rlm1)$coef[,2], weights=w, tunning=newc, R2=r2) | ||
} | ||
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##huber's function | ||
psi.Huber<-function(r,c) | ||
{ | ||
newr<-pmin(c,pmax(r,-c)) | ||
newr | ||
} | ||
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##derivative of huber's function | ||
dpsi.Huber<-function(r,c) | ||
{ | ||
newr<-as.numeric(abs(r)<=c) | ||
newr | ||
} | ||
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##bisquare's function | ||
psi.Tukey<-function(r,c) | ||
{ | ||
r<-pmin(c,pmax(r,-c)) | ||
newr<-r*(1-(r/c)^2)^2 | ||
newr | ||
} | ||
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##derivative of bisquare's function | ||
dpsi.Tukey<-function(r,c) | ||
{ | ||
r<-pmin(c,pmax(r,-c)) | ||
newr<-(1-(r/c)^2)*(1-5*(r/c)^2) | ||
newr | ||
} | ||
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##modified huber's function | ||
psi.Exp<-function(r,c) | ||
{ | ||
newr<-r*exp(-(r/c)^2) | ||
newr | ||
} | ||
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##derivative of modified huber's function | ||
dpsi.Exp<-function(r,c) | ||
{ | ||
newr<-(1-(2*r^2)/c^2)*exp(-(r/c)^2) | ||
newr | ||
} | ||
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##find the most efficient tuning constant | ||
eff<-function(r,method,plot) | ||
{ | ||
nn<- length(r) | ||
if (method =="Huber") | ||
{ | ||
tau<-(1:30)/10 | ||
new<-unlist(lapply(tau,FUN=function(x){(sum(dpsi.Huber(r,x)))^2/(nn*sum(psi.Huber(r,x)^2))})) | ||
} | ||
else if (method=="Bisquare") | ||
{ | ||
tau<-(15.48:59.48)/10 | ||
new<-unlist(lapply(tau,FUN=function(x){(sum(dpsi.Tukey(r,x)))^2/(nn*sum(psi.Tukey(r,x)^2))})) | ||
} | ||
else if (method=="Exponential") | ||
{ | ||
tau<-(5:100)/10 | ||
new<-unlist(lapply(tau,FUN=function(x){(sum(dpsi.Exp(r,x)))^2/(nn*sum(psi.Exp(r,x)^2))})) | ||
} | ||
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if (plot =="Y") | ||
{ | ||
plot(new, type="o", xaxt = "n", xlab="Tunning parameter", | ||
ylab="Efficiency",ylim=c(0,max(new)*1.3)) | ||
axis(1, at=seq_along(tau), labels=tau) | ||
if (method =="Exponential") { | ||
legend(length(tau)*0.8,max(new)*1.3,c("Exp"),bty = "n") | ||
} else { | ||
legend(length(tau)*0.8,max(new)*1.3,c(method),bty = "n") | ||
} | ||
} | ||
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xx<- order(new) | ||
return(tau[xx[length(tau)]]) | ||
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} | ||
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rho.h<-function(u,c){ | ||
phi<-0; | ||
x1<-(abs(u)<=c) | ||
phi<-x1* (u^2/2) + (1-x1)*(abs(u)*c-c^2/2) | ||
phi | ||
} | ||
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rho.b<-function(u,c){ | ||
phi<-0; | ||
x1<-(abs(u)<=c) | ||
phi<-x1*(1-(1-(u/c)^2)^3) + (1-x1) | ||
phi | ||
} | ||
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rho.e<-function(u,c){ | ||
1-exp(-(u/c)^2) | ||
} | ||
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ESL_O<-function(x,xx,y,beta,newc,maxit=500, toler=1e-6) | ||
{ | ||
it=0;delta=1; | ||
while (delta>toler && it<maxit){ | ||
it<-it+1; | ||
beta0<-beta; | ||
w<-0; | ||
e<-y-x%*%beta0; | ||
S_n<-max(mad(e),1e-6) | ||
u<-e/S_n | ||
for(i in seq_along(u)){ | ||
w[i]<-exp(-(u[i]/newc)^2); | ||
} | ||
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W<-diag(w); | ||
#beta<-solve(t(x)%*%W%*%x)%*%t(x)%*%W%*%y; | ||
rlm1<-rlm(y~xx,psi=psi.huber,weights=w,k=newc) | ||
beta<-rlm1$coef | ||
r2<-summary(lm(y~xx,weights=w))$r.squared | ||
delta<-sqrt(sum((beta-beta0)^2)); | ||
} | ||
list(esti=rlm1, Std.Error=summary(rlm1)$coef[,2], weights=w, tunning=newc, R2=r2) | ||
} | ||
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chi<- function(obj){ | ||
pmin(obj^2/1.041^2,1)-0.5 | ||
} | ||
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create_lag <- function(vec, n.lag){ | ||
list.lag<-list() | ||
for(i in 1: n.lag){ | ||
lagged.vec <- c(rep(NA,i),vec)[1:length(vec)] | ||
list.lag[[paste0("lag", i)]] <- lagged.vec | ||
} | ||
return(list.lag) | ||
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} | ||
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