distr6 (version 1.6.0)

Convolution: Distribution Convolution Wrapper

Description

Calculates the convolution of two distribution via numerical calculations.

Usage

# S3 method for Distribution
+(x, y)
# S3 method for Distribution
-(x, y)

Arguments

x, y

Distribution

Value

Returns an R6 object of class Convolution.

Super classes

distr6::Distribution -> distr6::DistributionWrapper -> Convolution

Methods

Public methods

• Convolution$new()

• Convolution$clone()

• distr6::Distribution$cdf()

• distr6::Distribution$correlation()

• distr6::Distribution$getParameterValue()

• distr6::Distribution$iqr()

• distr6::Distribution$liesInSupport()

• distr6::Distribution$liesInType()

• distr6::Distribution$median()

• distr6::Distribution$parameters()

• distr6::Distribution$pdf()

• distr6::Distribution$prec()

• distr6::Distribution$print()

• distr6::Distribution$quantile()

• distr6::Distribution$rand()

• distr6::Distribution$setParameterValue()

• distr6::Distribution$stdev()

• distr6::Distribution$strprint()

• distr6::Distribution$summary()

• distr6::Distribution$workingSupport()

• distr6::DistributionWrapper$wrappedModels()

Method new()

Creates a new instance of this R6 class.

Usage

Convolution$new(dist1, dist2, add = TRUE)

Arguments

dist1

([Distribution]) First Distribution in convolution, i.e. dist1 <U+00B1> dist2.

dist2

([Distribution]) Second Distribution in convolution, i.e. dist1 <U+00B1> dist2.

add

(logical(1)) If TRUE (default) then adds the distributions together, otherwise substracts.

Method clone()

The objects of this class are cloneable with this method.

Usage

Convolution$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Details

The convolution of two probability distributions $X$, $Y$ is the sum $$Z=X+Y$$ which has a pmf, $$P(Z=z)=\sum _{x}P(X=x)P(Y=z-x)$$ with an integration analogue for continuous distributions.

Currently distr6 supports the addition of discrete and continuous probability distributions, but only subtraction of continuous distributions.

See Also

Other wrappers: DistributionWrapper, HuberizedDistribution, MixtureDistribution, ProductDistribution, TruncatedDistribution, VectorDistribution

Examples

# NOT RUN {
binom <- Bernoulli$new() + Bernoulli$new()
binom$pdf(2)
Binomial$new(size = 2)$pdf(2)
norm <- Normal$new(mean = 3) - Normal$new(mean = 2)
norm$pdf(1)
Normal$new(mean = 1, var = 2)$pdf(1)
# }