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moment_joint_upfactorial_from_raw.m
1function fp = moment_joint_upfactorial_from_raw(m)
2% fp = moment_joint_upfactorial_from_raw(m)
3%
4% Converts joint power (raw) moments into the joint upward-factorial moments
5% f+_(i_1,...,i_d) = E[prod_j N_j(N_j+1)...(N_j+i_j-1)], by the Stirling
6% cycle numbers along every dimension.
7%
8% Input:
9% m: array of size (n_1+1)x...x(n_d+1) holding the joint raw
10% moments, element (i_1+1,...,i_d+1) being the moment of
11% multi-order (i_1,...,i_d) and element 1 being 1
12%
13% Output:
14% fp: array of the same size holding the joint upward-factorial moments
15%
16% Reference:
17% A. Heindl and A. van de Liefvoort. Moment conversions for discrete
18% distributions. PMCCS, 2003.
19
20fp = moment_jointtrans(m, 'upfactorial_from_raw');
21end