ecd (version 0.9.2.4)

ecld.solve: Analytic solution for \(y(x)\) in lambda distribution

Description

Analytic solution for \(y(x)\) if available. \(ecld.laplace_B\) is a utility function for the slopes of a skew Laplace distribution at lambda=2: \(B^+\) and \(B^-\) with \(B^0/2=B^{+}+B^{-}\). If sigma is provided, B notation is expanded for IMGF where \(B^{+}_{\sigma} B^{-}_{\sigma} = \exp(\mu_D)\). SGED is supported.

Usage

ecld.solve(a, b, ...)
ecld.laplace_B(beta, sgn = 0, sigma = 0)
ecld.solve_quartic(a, b, ...)
ecld.solve_by_poly(a, b, ...)
ecld.solve_isomorphic(a, b, ...)

Arguments

a

an object of ecld class

b

a vector of \(x\) values

...

Not used. Only here to match the generic signature.

beta

the skew parameter

sgn

sign of \(-1, 0, +1\)

sigma

the scale parameter, optional

Value

A vector for \(y(x)\)

Examples

# NOT RUN {
ld <- ecld(sigma=0.01*ecd.mp1)
x <- seq(-0.1, 0.1, by=0.01)
ecld.solve(ld,x)
# }