intervals: intervals

In adlift: An Adaptive Lifting Scheme Algorithm

intervals

Description

This function constructs the intervals around the grid values to be used as scaling integrals during the transform

Usage

intervals(X, initboundhandl)

Arguments

X	The vector of gridpoints.
initboundhandl	the interval construction at the boundary. Takes the value "reflect" for intervals symmetric about the endpoints or "stop" if the endpoint intervals are limited to the edges of the dataset, i.e. the intervals end at the first and last gridpoints respectively.

Details

The function constructs the intervals by sorting the observed gridpoints. The endpoints of the intervals are found as the midpoints between consecutive (sorted) gridpoints. In this way the intervals are not necessarily centered around the gridpoints. The first and last intervals are then modified according to initboundhandl (see above). These intervals represent the support of the initial scaling functions associated to each gridpoint.

Value

intervals	a vector of length (length(X)+1) with the X values of the endpoints of the intervals (including the edges).
order	order(X) (the sorted observation order).

Author(s)

Matt Nunes ([e-mail]), Marina Knight

See Also

lengthintervals

Examples

x2<-runif(50)
x2
#
intervals(x2,"reflect")
#
#check that the gridpoints are between the interval vector entries...
#

adlift documentation built on April 11, 2025, 6:14 p.m.