Comments (1)
The Pareto distribution is not part of standard R. While the sampling is straightforward, the evaluation of the Laplace transform is not that simple. It requires evaluation the incomplete gamma function for negative coefficients. This is not possible with pgamma
.
- We could use the implementation of GSL, see https://www.gnu.org/software/gsl/doc/html/specfunc.html.
- We could use numerical integration from R/Boost/GSL.
- We could make the implementation of the Laplace transform (for calculating an estimation for the CPP capacity) non-mandatory.
- We could reimplement the LFM such that CPP history is not stored.
I tend to favor the last option.
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Related Issues (20)
- [FEAT] Bernstein function should have properties for `calcIterativeDifference` calculation
- [FEAT] Improve Bernstein Function representation HOT 1
- [FEAT] Implement binary operators for Bernstein function arithmetics
- [FEAT] Introduce `ConvexCombinationOfBernsteinFunctions` class
- [BUG] Numerical integration issues for extreme parameters HOT 1
- [REFACTOR] remove Bernstein function fuzzing from tests
- [FEAT] Calculate entries of Markovian intensity matrix directly
- [REFACTOR] Parametrization of the exchangeable Markov model
- [REFACTOR] Remove `lambda` parameter from `PoissonBernsteinFunction`
- [FEATURE] Add composition scaling class for Bernstein Functions
- [FEATURE] Add S4 methods to create `intensities`, `ex_intensities` and `qmatrix`
- [FEATURE] Allow pass-through of `integrate` arguments
- [BUG] Wrong implementation of validity methods HOT 1
- [BUG] Methods that use stats::integrate should check whether integration was successful HOT 1
- [FEAT] Implement `show` for `BernsteinFunction`-classes
- [FEAT] Modified Arnold model for the exchangeable subclass
- [BUG] `uniform_int_distribution` does not implement the C++ standard
- [REFACTOR] Rename sampling routines and classes HOT 1
- [REFACTOR] Introduce high-level sampling methods and make specific methods internal HOT 1
- [FEAT] Implement a `mdcm_expt_distribution`
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