kStatistics (version 1.0)

mpCart: Pairing two multisets

Description

Given two multisets, generates a new multiset whose elements are the pairing of the corresponding ones in the input multisets.

Usage

mpCart( M1,M2 )

Arguments

M1

list of arrays

M2

list of arrays

Value

list

list with the paired multiset

Details

Two lists of two arrays are given in input: the multiset is in the first array, in the second there is a multiplicative factor (for example its multiplicity if the multiset is a subdivision). The function generates a new multiset whose elements are the pairing of the corresponding ones in two input multisets with a multiplicative factor which is just the product of the corresponding multiplicative factors.

References

E. Di Nardo, G. Guarino, D. Senato (2008) An unifying framework for k-statistics, polykays and their generalizations. Bernoulli. Vol. 14(2), 440-468. (download from http://www.elviradinardo.it/lavori1.html)

E. Di Nardo, G. Guarino, D. Senato (2008) Symbolic computation of moments of sampling distributions. Comp. Stat. Data Analysis Vol. 52(11), 4909-4922, (download from http://www.elviradinardo.it/lavori1.html)

E. Di Nardo, G. Guarino, D. Senato (2009) A new method for fast computing unbiased estimators of cumulants. Statistics and Computing, Vol. 19, 155-165. (download from http://www.elviradinardo.it/lavori1.html)

See Also

pCart

Examples

# NOT RUN {
A <- list(  list( list(c(1),c(2) ),c(-1)), list(list(c(3)),c(1))  )
# where -1 is the multiplicative factor of the first array and 1 is the 
# multiplicative factor of the second array
B<-list( list(c(5),c(7)))
# where 7 is the multiplicative factor of the first array  
mpCart(A,B) 
# generates [[[1],[2],[5]], -7] , [[[3],[5]], 7]

A <- list( list( list( c(1,0),c(1,0) ), c(-1)),  list( list( c(2,0)), c(1) ))
B <- list( list( list( c(1,0)), c(1)) )  
mpCart(A,B)
# generates  [[[1,0],[1,0],[1,0]], -1], [[[2,0],[1,0]],1]
# }