composite_plt function

Composite coefficients after power-law transformation

Coefficients of a power-law transformed composite distribution

composite_plt(dist, coeff, a = 1, b = 1, inv = FALSE)

Arguments

• dist: character vector denoting the distribution of the first-, second- (and third) component respectively. If only two components are provided, the distribution reduces to the two-component distribution.
• coeff: named numeric vector holding the coefficients of the first-, second- (and third) component, predeced by coeff1., coeff2. (and coeff3.), respectively. Coefficients for the last component do not have to be provided for the two-component distribution and will be disregarded.
• a, b: constant and power of power-law transformation, defaults to 1 and 1 respectively.
• inv: logical indicating whether coefficients of the outcome variable of the power-law transformation should be returned (FALSE) or whether coefficients of the input variable being power-law transformed should be returned (TRUE). Defaults to FALSE.

Returns

Returns a named list containing

• coefficients: Named vector of coefficients

Comparing probabilites of power-law transformed transformed variables dist <- c("invpareto", "lnorm", "pareto") coeff <- c(coeff2.meanlog = -0.5, coeff2.sdlog = 0.5, coeff3.k = 1.5, coeff1.k = 1.5)

pcomposite(3,dist=dist,coeff=coeff) newcoeff = composite_plt(dist=dist,coeff=coeff,a=5,b=7)$coefficients pcomposite(5*3^7,dist=dist,coeff=newcoeff)

pcomposite(5*0.9^3,dist=dist,coeff=coeff) newcoeff = composite_plt(dist=dist,coeff=coeff,a=5,b=3,inv=TRUE)$coefficients pcomposite(0.9,dist=dist,coeff=newcoeff)