phi_jk: Evaluate scaling functions phi_{j,k}(z) = 2^{j/2}phi(2^j z -...

In qdfauction: Nonparametric Quantile Density Estimation and Structural Analysis of First-Price Auctions

Evaluate scaling functions \phi_{j,k}(z) = 2^{j/2}\phi(2^j z - k)

Description

Evaluate scaling functions \phi_{j,k}(z) = 2^{j/2}\phi(2^j z - k)

Usage

phi_jk(z, j, k, filter = "db3", levels = 10L)

Arguments

z	numeric vector of arguments.
j	resolution level.
k	integer vector of shifts. For a single 'k' a vector is returned; otherwise a matrix 'length(z)' by 'length(k)'.
filter	see [wavelet_filter()].
levels	dyadic resolution of the table (default 10, i.e. 1024 points per unit interval).

Value

numeric vector or matrix of values.

Examples

z <- seq(0, 1, by = 0.01)
plot(z, phi_jk(z, 3, 2), type = "l")

qdfauction documentation built on Nov. 10, 2026, 5:07 p.m.