ExoticStatistics: Exotic Statistical Methods for Distributions

Description

This decorator adds methods for more complex statistical methods including p-norms, survival and hazard functions and anti-derivatives.

Value

Returns a decorated R6 object inheriting from class SDistribution with the methods listed below added to the SDistribution methods.

Constructor

ExoticStatistics$new(distribution)

Constructor Arguments

Argument	Type	Details
`distribution`	distribution	Distribution to decorate.

Added Methods

Method	Name	Link
`survival(x1, log = FALSE)`	Survival function	`survival`
`hazard(x1, log = FALSE)`	Hazard function	`hazard`
`cumHazard(x1, log = FALSE)`	Cumulative hazard function	`cumHazard`
`cdfAntiDeriv(lower = NULL, upper = NULL))`	Anti-derivative of cdf	`cdfAntiDeriv`
`survivalAntiDeriv(lower = NULL, upper = NULL)`	Anti-derivative of survival function	`survivalAntiDeriv`
`cdfPNorm(p = 2, lower = NULL, upper = NULL)`	P-norm of cdf	`cdfPNorm`
`pdfPNorm(p = 2, lower = NULL, upper = NULL)`	P-norm of pdf	`pdfPNorm`
`survivalPNorm(p = 2, lower = NULL, upper = NULL)`	P-norm of survival function	`survivalPNorm`

Details

Decorator objects add functionality to the given Distribution object by copying methods in the decorator environment to the chosen Distribution environment. See the 'Added Methods' section below to find details of the methods that are added to the Distribution. Methods already present in the distribution are not overwritten by the decorator.

Use decorate to decorate a Distribution.

Methods in this decorator may use numerical approximations and therefore better results may be available from analytic computations.

Examples

Run this code

# NOT RUN {
x = Exponential$new()
decorate(x, ExoticStatistics)
x$survival(1)

x = Exponential$new(decorators = ExoticStatistics)
x$survival(4)

# }

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