GetDeltaPi {Delta}

Calculate Delta and Pi parameters function

Description

This function provide an estimation of Pi and Delta for each category. To do so, it is needed to solve the non-linear equation of B, given by the function GetB.

Usage

GetDeltaPi(mx, dtp, tol = 1e-12, maxits = 1000, original.mx = TRUE)

Arguments

mx

Matrix. Modified matrix to have a solution. Usually GetMx$M1 for k>2 and GetMx$M2 in case of k = 2.

dtp

String. Type of delta problem.

tol

Double number. Indicate the precision of the numeric method to calculate B. Expected to be 1e-6 <= tol <= 1e-15.Default is 1e-12.

maxits

Whole number. Indicate the maximum number of iterations of the numeric method to calculate B. Expected to be 100 <= maxits <= 5000. Default is 1000.

original.mx

Boolean. Indicate if the dtp parameter correspond to the current mx parameter. By default TRUE.

Details

In some type of problems, the solution is on the borderline, and in those situation we may have not solutions at all, only one or infinity of them.

Examples

GetDeltaPi(mx = matrix(c(1,0,0,0,2,0,0,0,3),3,3), dtp = "DN0", tol = 1e-12, maxits = 1000)
GetDeltaPi(mx = matrix(c(1.5,2.5,0.5,3.5,4.5,0.5,0.5,0.5,1.5),3,3), dtp = "DN2", 
           tol = 1e-12, maxits = 1000, original.mx = FALSE)