LINE Solver (C++)
Templated C++ port of the LINE queueing solver
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Moment conversions (moment)

Conversions between the moment families of a random variable – raw, central, factorial, binomial, cumulant and survival – together with the triangular transform tables and the multivariate cases. More...

Collaboration diagram for Moment conversions (moment):

Files

file  include/line/api/moment/moment_apply.h
 Shared helper applying a triangular moment-transform table.
file  include/line/api/moment/moment_binomial_from_factorial.h
 Binomial moments from falling-factorial moments.
file  include/line/api/moment/moment_binomial_from_negbinomial.h
 Binomial moments from negative-binomial moments.
file  include/line/api/moment/moment_binotrans.h
 Binomial transform with alternating signs.
file  include/line/api/moment/moment_binotransinv.h
 Inverse binomial transform.
file  include/line/api/moment/moment_central_from_raw.h
 Central moments from raw moments.
file  include/line/api/moment/moment_cumulant.h
 Cumulants from raw moments and the inverse, plus the factorial-cumulant pair.
file  include/line/api/moment/moment_factorial_from_binomial.h
 Falling-factorial moments from binomial moments.
file  include/line/api/moment/moment_factorial_from_raw.h
 Factorial moments from raw moments, via the signed Stirling table.
file  include/line/api/moment/moment_factorial_from_upfactorial.h
 Falling-factorial moments from rising-factorial moments, via the Lah numbers.
file  include/line/api/moment/moment_housematrix.h
 Conversion matrix of one edge of the house of moments.
file  include/line/api/moment/moment_joint.h
 Joint moment conversions on the house of moments.
file  include/line/api/moment/moment_lah.h
 Unsigned Lah numbers.
file  include/line/api/moment/moment_negbinomial_from_binomial.h
 Negative-binomial moments from binomial moments.
file  include/line/api/moment/moment_negbinomial_from_upfactorial.h
 Negative-binomial moments from rising-factorial moments.
file  include/line/api/moment/moment_raw_from_central.h
 Raw moments from central moments and the mean.
file  include/line/api/moment/moment_raw_from_factorial.h
 Raw moments from factorial moments, via the Stirling table of the second kind.
file  include/line/api/moment/moment_raw_from_upfactorial.h
 Raw moments from rising-factorial moments.
file  include/line/api/moment/moment_stirling1.h
 Signed Stirling numbers of the first kind.
file  include/line/api/moment/moment_stirling2.h
 Stirling numbers of the second kind.
file  include/line/api/moment/moment_stirlingcycle.h
 Unsigned Stirling numbers of the first kind (cycle numbers), orders 0..n.
file  include/line/api/moment/moment_tail.h
 Binomial moments from tail moments and the inverse.
file  include/line/api/moment/moment_tensor.h
 Joint moment arrays and the mode products used by every joint conversion.
file  include/line/api/moment/moment_upfactorial_from_factorial.h
 Rising-factorial moments from falling-factorial moments, via the Lah numbers.
file  include/line/api/moment/moment_upfactorial_from_negbinomial.h
 Rising-factorial moments from negative-binomial moments.
file  include/line/api/moment/moment_upfactorial_from_raw.h
 Rising-factorial moments from raw moments, via the cycle numbers.

Detailed Description

Conversions between the moment families of a random variable – raw, central, factorial, binomial, cumulant and survival – together with the triangular transform tables and the multivariate cases.