EZ.SGB: Expectations of Z under the SGB distribution

In SGB: Simplicial Generalized Beta Regression

Expectations of Z under the SGB distribution

Description

Expectations under Lebesgue and Aitchison measures for the transformed composition Z= C((U/scale)^{shape1}) and C(Z^{1/shape1}), where C(.) is the closure operation.

Usage

EZ.SGB(D, x)

Arguments

x	vector of parameters (shape1,coefi,shape2) where shape1 is the overall shape, coefi is the vector of regression coefficients (see initpar.SGB) and shape2 the vector of D Dirichlet shape parameters
D	number of parts

Value

A matrix with 4 rows and D columns giving on each row the expectation of parts

EZ	E(Z), expectation under the (ordinary) Lebesgue measure,
EAZ	E_A(Z), expectation under the Aitchison measure,
EZa	E(Z^{1/shape1}), expectation under the (ordinary) Lebesgue measure,
EAZa	E_A(Z^{1/shape1}), expectation under the Aitchison measure.

See Also

zval

Examples

set.seed(1234)
x <- c(2,rnorm(4,0,1),1.8,3.1,4.0) 
D <- 3
EZ.SGB(D,x)

SGB documentation built on May 29, 2024, 4 a.m.