Class for sums of two Bernstein functions

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()
#> An object of class "SumOfBernsteinFunctions"
#> 	 (invalid or not initialized)
SumOfBernsteinFunctions(
  first = LinearBernsteinFunction(scale = 0.2),
  second = AlphaStableBernsteinFunction(alpha = 0.5)
)
#> An object of class "SumOfBernsteinFunctions"
#> - first:
#> 	An object of class "LinearBernsteinFunction"
#> 	- scale: 0.2
#> - second:
#> 	An object of class "AlphaStableBernsteinFunction"
#> 	- alpha: 0.5