Package jline.api.moment
package jline.api.moment
Moment conversion algorithms for discrete distributions.
This package provides the one-to-one conversions between the moment families of a discrete random variable N: power (raw) moments, factorial moments, upward-factorial moments, binomial moments, negative-binomial moments and central moments. The conversions are driven by the combinatorial triangles of the Stirling numbers of the first and second kind, the Stirling cycle numbers and the Lah numbers.
Reference: A. Heindl and A. van de Liefvoort. Moment conversions for discrete distributions. PMCCS, 2003.
- Since:
- LINE 2.0
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ClassesClassDescriptionBinomial moments from factorial moments.Binomial moments from negative-binomial moments.Binomial transform of a sequence.Inverse binomial transform of a sequence.Central moments from power (raw) moments.Factorial moments from binomial moments.Factorial moments from power (raw) moments.Factorial moments from upward-factorial moments.Triangle of the Lah numbers.Negative-binomial moments from binomial moments.Negative-binomial moments from upward-factorial moments.Power (raw) moments from central moments.Power (raw) moments from factorial moments.Power (raw) moments from upward-factorial moments.Triangle of the signed Stirling numbers of the first kind.Triangle of the Stirling numbers of the second kind.Triangle of the Stirling cycle numbers.Upward-factorial moments from factorial moments.Upward-factorial moments from negative-binomial moments.Upward-factorial moments from power (raw) moments.