SumOfBernsteinFunctions-class: Class for sums of two Bernstein functions

In hsloot/rmo: A package for the Marshall-Olkin distribution

Class for sums of two Bernstein functions

Description

Bernstein functions are stable under addition, i.e. if \psi_1 and \psi_2 are two Bernstein functions, then

x \mapsto \psi_1(x) + \psi_2(x) , x>0,

is also a Bernstein function.

Slots

first

The first summand (derived from BernsteinFunction).

second

The second summand (derived from BernsteinFunction).

See Also

calcIterativeDifference(), calcShockArrivalIntensities(), calcExShockArrivalIntensities(), calcExShockSizeArrivalIntensities(), calcMDCMGeneratorMatrix(), rextmo(), rpextmo()

Other Bernstein function classes: AlphaStableBernsteinFunction-class, BernsteinFunction-class, CompleteBernsteinFunction-class, CompositeScaledBernsteinFunction-class, ConstantBernsteinFunction-class, ConvexCombinationOfBernsteinFunctions-class, ExponentialBernsteinFunction-class, GammaBernsteinFunction-class, InverseGaussianBernsteinFunction-class, LevyBernsteinFunction-class, LinearBernsteinFunction-class, ParetoBernsteinFunction-class, PoissonBernsteinFunction-class, ScaledBernsteinFunction-class

Other Bernstein function transformer classes: CompositeScaledBernsteinFunction-class, ConvexCombinationOfBernsteinFunctions-class, ScaledBernsteinFunction-class

Examples

# Create an object of class SumOfBernsteinFunctions
SumOfBernsteinFunctions()
SumOfBernsteinFunctions(
  first = LinearBernsteinFunction(scale = 0.2),
  second = AlphaStableBernsteinFunction(alpha = 0.5)
)

hsloot/rmo documentation built on May 1, 2024, 4:28 a.m.