ipptoolbox (version 1.2)

bpafromprobs: Obtain BPAs from statistical properties

Description

Various functions to obtain conservative BPA estimates from statistical properties such as mean, variance, ...

Usage

dsminmeanmax(intervalnumber, min, mean, max)
dsminmodemax(intervalnumber, min, mode, max)
dsmeanvar(intervalnumber, mean, var)

Arguments

intervalnumber

Number of focal elements of the discretization

min

Minimum of the BPA

mean

Mean of the BPA

mode

Mode of the BPA

max

Maximum of the BPA

var

Variance of the BPA

Value

BPA with intervalnumber focal elements bounding all possible distributions with the given parameters.

Details

dsminmeanmax

generates a BPA from min, mean and max.

dsminmodemax

generates a BPA from min, mode and max.

dsmeanvar

generates a BPA from mean and variance.

A set of functions to obtain a BPA that bounds all CDFs with given statistical properties (mean, variance...). These functions are especially useful for quantification of expert estimates. dsminmeanmax generates a BPA from min, mean and max, dsminmodemax from min, mode and max and dsmeanvar from mean and variance. It is necessary to provide an amount of focal elements to be generated (discretization accuracy).

The example generates 3 BPAs. The first bounds all distributions with min=10, mode=60 and max=100. The second all with min=10, mean=30 and max=100. The third all with mean=30 and var=5.

Examples

# NOT RUN {
pmin=10
pmean=30
pmode=60
pmax=100
pvar=5
y1=dsminmodemax(100,pmin,pmode,pmax)
dscdf(y1);

y2=dsminmeanmax(100,pmin,pmean,pmax)
dscdf(y2);

y3=dsmeanvar(100,pmean,pvar)
dscdf(y3)
# }