ProductDistribution: Product Distribution

Description

A wrapper for creating the joint distribution of multiple independent probability distributions.

Value

Returns an R6 object of class ProductDistribution.

Constructor

ProductDistribution$new(distlist, name = NULL, short_name = NULL, description = NULL)

Constructor Arguments

Argument	Type	Details
`distlist`	list	List of distributions.
`name`	list	Optional new name for distribution.
`short_name`	list	Optional new short_name for distribution.
`description`	list	Optional new description for distribution.

Public Variables

Variable	Return
`name`	Name of distribution.
`short_name`	Id of distribution.
`description`	Brief description of distribution.

Public Methods

Accessor Methods	Link
`wrappedModels(model = NULL)`	`wrappedModels`
`decorators()`	`decorators`
`traits()`	`traits`
`valueSupport()`	`valueSupport`
`variateForm()`	`variateForm`
`type()`	`type`
`properties()`	`properties`
`support()`	`support`
`symmetry()`	`symmetry`
`sup()`	`sup`
`inf()`	`inf`
`dmax()`	`dmax`
`dmin()`	`dmin`
`skewnessType()`	`skewnessType`
`kurtosisType()`	`kurtosisType`



d/p/q/r Methods	Link
`pdf(x1, ..., log = FALSE, simplify = TRUE)`	`pdf`
`cdf(x1, ..., lower.tail = TRUE, log.p = FALSE, simplify = TRUE)`	`cdf`
`quantile(p, ..., lower.tail = TRUE, log.p = FALSE, simplify = TRUE)`	`quantile.Distribution`
`rand(n, simplify = TRUE)`	`rand`



Statistical Methods	Link
`prec()`	`prec`
`stdev()`	`stdev`
`median()`	`median.Distribution`
`iqr()`	`iqr`
`cor()`	`cor`



Parameter Methods	Link
`parameters(id)`	`parameters`
`getParameterValue(id, error = "warn")`	`getParameterValue`
`setParameterValue(..., lst = NULL, error = "warn")`	`setParameterValue`



Validation Methods	Link
`liesInSupport(x, all = TRUE, bound = FALSE)`	`liesInSupport`
`liesInType(x, all = TRUE, bound = FALSE)`	`liesInType`



Representation Methods	Link
`strprint()`	`strprint`
`print()`	`print`
`summary(full = T)`	`summary.Distribution`
`plot()`	Coming Soon.
`qqplot()`	Coming Soon.

Details

Exploits the following relationships of independent distributions $$f_P(X1 = x1,...,XN = xN) = f_{X1}(x1) * ... * f_{XN}(xn)$$ $$F_P(X1 = x1,...,XN = xN) = F_{X1}(x1) * ... * F_{XN}(xn)$$ where $f_P$/$F_P$ is the pdf/cdf of the joint (product) distribution $P$ and $X1,...,XN$ are independent distributions.

ProductDistribution inherits all methods from Distribution and DistributionWrapper.

Examples

Run this code

# NOT RUN {
prodBin <- ProductDistribution$new(list(Binomial$new(prob = 0.5, size = 10),
                                   Binomial$new(prob = 0.5, size = 20)))
prodBin$pdf(x1 = 2, x2 =3)
prodBin$cdf(x1 = 5, x2 = 10)
prodBin$rand(10)

# }

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