distr6 (version 1.3.0)

pdfPNorm: Probability Density Function P-Norm

Description

The p-norm of the pdf evaluated between given limits or over the whole support.

Usage

pdfPNorm(object, p = 2, lower = NULL, upper = NULL)

Arguments

object

Distribution.

p

p-norm to calculate.

lower

lower limit for integration, default is infimum.

upper

upper limit for integration, default is supremum.

Value

Given p-norm of pdf evaluated between limits as a numeric.

R6 Usage

$pdfPNorm(p = 2, lower = NULL, upper = NULL)

Details

The p-norm of the pdf is defined by $$({\int }_a^b|f_X{|}^{p}d\mu {)}^{1/p}$$ where X is the distribution, $f_X$ is the pdf and a,b are the limits of integration.

Returns NULL if distribution is not continuous.

Can only be used after decorating with ExoticStatistics.

See Also

ExoticStatistics and decorate