npcdisthat: Conditional Distribution Hat Operator

In np: Nonparametric Kernel Smoothing Methods for Mixed Data Types

Conditional Distribution Hat Operator

Description

Constructs the conditional distribution hat operator associated with npcdist bandwidth objects. The returned operator maps a right-hand side y to H y; with y = 1 this reproduces the fitted conditional distribution function.

Usage

npcdisthat(bws,
           txdat = stop("training data 'txdat' missing"),
           tydat = stop("training data 'tydat' missing"),
           exdat,
           eydat,
           y = NULL,
           output = c("matrix", "apply"))

Arguments

Data, Bandwidth Inputs And Formula Interface

These arguments identify the fitted bandwidth object, training data, and evaluation data.

bws	A fitted conditional distribution bandwidth object of class "condbandwidth".
exdat	Optional evaluation conditioning data. If omitted, the operator is built on the training conditioning data.
eydat	Optional evaluation response data. If omitted, the operator is built on the training response data.
txdat	Training conditioning data used to construct the operator.
tydat	Training response data used to construct the operator.

Operator Output

These arguments control whether the operator is returned as a matrix or applied directly.

output	Either "matrix" for the hat matrix or "apply" for direct application to y.
y	Optional right-hand side vector or matrix with one row per training observation.

Details

For output = "matrix", the return value is a matrix with class c("npcdisthat", "matrix") and attributes storing the bandwidth object, training data, evaluation data, and call metadata.

For output = "apply", the function returns H y directly. Matrix right-hand sides are applied column-wise.

This helper is intended for object-fed repeated evaluation once a bandwidth object has already been constructed. It does not perform bandwidth selection.

Value

Either a hat matrix of class "npcdisthat" or the applied result H y, depending on output.

Examples

## Not run: 
data(cps71)
tx <- data.frame(age = cps71$age)
ty <- data.frame(logwage = cps71$logwage)

bw <- npcdistbw(xdat = tx, ydat = ty, bwtype = "fixed",
                bandwidth.compute = FALSE, bws = c(1.0, 1.0))

H <- npcdisthat(bws = bw, txdat = tx, tydat = ty)
dist.hat <- npcdisthat(bws = bw, txdat = tx, tydat = ty,
                       y = rep(1, nrow(tx)),
                       output = "apply")
dist.core <- fitted(npcdist(bws = bw, txdat = tx, tydat = ty))

head(cbind(dist.core, dist.hat), n = 2L)

## End(Not run)

np documentation built on May 3, 2026, 1:07 a.m.