NR {cenROC}

The normal reference bandwidth selection for weighted data

Description

This function computes the data-driven bandwidth for smoothing the ROC (or distribution) function using the NR method of Beyene and El Ghouch (2020). This is an extension of the classical (unweighted) normal reference bandwith selection method to the case of weighted data.

Usage

NR(X, wt, ktype = "normal")

Arguments

X

The numeric data vector.

wt

The non-negative weight vector.

ktype

A character string giving the type kernel to be used: "normal", "epanechnikov", "biweight", or "triweight". By default, the "normal" kernel is used.

Details

See Beyene and El Ghouch (2020) for details.

Value

Returns the computed value for the bandwith parameter.

Author(s)

Kassu Mehari Beyene and Anouar El Ghouch

References

Beyene, K. M. and El Ghouch A. (2020). Smoothed time-dependent receiver operating characteristic curve for right censored survival data. Statistics in Medicine. 39: 3373– 3396.

Examples

library(cenROC)

X <- rnorm(100) # random data vector
wt <- runif(100) # weight vector

## Normal reference bandwidth selection
NR(X = X, wt = wt)$bw