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distr6 (version 1.3.2)

cdfPNorm: Cumulative Distribution Function P-Norm

Description

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

Usage

cdfPNorm(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 cdf evaluated between limits as a numeric.

R6 Usage

$cdfPNorm(object, p = 2, lower = NULL, upper = NULL)

Details

The p-norm of the cdf is defined by $$(\int_a^b |F_X|^p d\mu)^{1/p}$$ where X is the distribution, \(F_X\) is the cdf 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