Kernel: Abstract Kernel Class

Description Value Super class Public fields Methods

Description

Abstract class that cannot be constructed directly.

Value

Returns error. Abstract classes cannot be constructed directly.

Super class

distr6::Distribution -> Kernel

Public fields

package

Deprecated, use $packages instead.

packages

Packages required to be installed in order to construct the distribution.

Methods

Public methods

Inherited methods

Method new()

Creates a new instance of this R6 class.

Usage
Kernel$new(decorators = NULL, support = Interval$new(-1, 1))
Arguments
decorators

(character())
Decorators to add to the distribution during construction.

support

[set6::Set]
Support of the distribution.


Method mode()

Calculates the mode of the distribution.

Usage
Kernel$mode(which = "all")
Arguments
which

(character(1) | numeric(1)
Ignored if distribution is unimodal. Otherwise "all" returns all modes, otherwise specifies which mode to return.


Method mean()

Calculates the mean (expectation) of the distribution.

Usage
Kernel$mean(...)
Arguments
...

Unused.


Method median()

Calculates the median of the distribution.

Usage
Kernel$median()

Method pdfSquared2Norm()

The squared 2-norm of the pdf is defined by

\int_a^b (f_X(u))^2 du

where X is the Distribution, f_X is its pdf and a, b are the distribution support limits.

Usage
Kernel$pdfSquared2Norm(x = 0, upper = Inf)
Arguments
x

(numeric(1))
Amount to shift the result.

upper

(numeric(1))
Upper limit of the integral.


Method cdfSquared2Norm()

The squared 2-norm of the cdf is defined by

\int_a^b (F_X(u))^2 du

where X is the Distribution, F_X is its pdf and a, b are the distribution support limits.

Usage
Kernel$cdfSquared2Norm(x = 0, upper = Inf)
Arguments
x

(numeric(1))
Amount to shift the result.

upper

(numeric(1))
Upper limit of the integral.


Method skewness()

The skewness of a distribution is defined by the third standardised moment,

sk_X = E_X[((x - μ)/σ)^3]

where E_X is the expectation of distribution X, μ is the mean of the distribution and σ is the standard deviation of the distribution.

Usage
Kernel$skewness(...)
Arguments
...

Unused.


Method clone()

The objects of this class are cloneable with this method.

Usage
Kernel$clone(deep = FALSE)
Arguments
deep

Whether to make a deep clone.


distr6 documentation built on Oct. 7, 2021, 1:09 a.m.