kappa4IntApprox: Sample arc length statistic.

In mtloots/alR: Arc Lengths of Statistical Functions

Description

The arc length over a specified interval is calculated for use in non-linear estimation.

Usage

kappa4IntApprox(x, y, q1, q2, quantile)

kappa4IntApprox2(x, y, q1, q2, quantile)

Arguments

x	Numeric vector of independent outcomes.
y	Numeric vector of dependent outcomes y=F(x).
q1, q2	Quantiles (between 0 and 1) over which the arc length segment is to be computed.
quantile	Logical, TRUE/FALSE, whether q1 and q2 are quantiles, or actual points in the domain.

Value

kappa4IntApprox: The resultant arc length.

kappa4IntApprox2: A vector having length equal to that of the vector of lower quantile bounds, containing the discrete arc length segments over the specified intervals.

Examples

x <- rnorm(100)
y <- pnorm(x)
kappa4IntApprox(x, y, 0.025, 0.975, TRUE)
kappa4IntApprox(x, y, -1.96, 1.96, FALSE)

kappa4IntApprox2(x, y, c(0.025, 0.5), c(0.5, 0.975), TRUE)
kappa4IntApprox2(x, y, c(-1.96, 0), c(0, 1.96), FALSE)

mtloots/alR documentation built on May 23, 2019, 8:18 a.m.