ReferenceMeasureCartesianProduct: Compute a cartesian Product of measures

In DistributionalDDA: Distributional Data Analysis in Bayes Spaces

Compute a cartesian Product of measures

Description

Compute a cartesian Product of measures

Usage

ReferenceMeasureCartesianProduct(..., nSamples = 1e+05)

Arguments

...	the measures, possibly named
nSamples	the (maximum) number of samples to be used to represent the measure in the fixed sample for Monte Carlo integrations.

Value

A ReferenceMeasureCartesianProduct, which is essentially a list of the measures, in an object of that class, that acts like a ReferenceMeasure for the Cartesian Product of the supports of the individual measures.

The product measure corresponds gives a any product set the measure of the that corresponds to the product of the individual measures. In case of a probablity distribution, that would be the measure representing an independent distribution, with the initial measures as marginal distributions. This concept is used to establish a reference measure for multivariate BayesSpaces which can also contain non independent measures.

See Also

Other Cartesian: BayesSpaceBasis.BayesSpaceCartesianProduct(), BayesSpaceBasisCartesianProduct(), BayesSpaceCartesianProduct(), SupportCartesianProduct(), cartesianProduct(), getBayesSpace.ReferenceMeasureCartesianProduct(), getCartesianFactors(), subBasisIndices()

Examples

 RMCP3 = ReferenceMeasureCartesianProduct(A=StdReferenceMeasureN01,
                                          B=StdReferenceMeasureUnif01,
                                          C=ReferenceMeasureDiscrete(c("A","B","C"),c(0.2,0.3,0.5))
                                           )

DistributionalDDA documentation built on Oct. 20, 2026, 5:06 p.m.