pCart: Cartesian product

In kStatistics: Unbiased Estimators for Cumulant Products and Faa Di Bruno's Formula

Cartesian product

Description

The function returns the cartesian product between vectors.

Usage

pCart( L ) 

Arguments

L	vectors in a list

Details

The pCart function pairs any element of the first vector with any element of the second vector, iteratively, if there are more than two vectors in input. Repetitions are allowed. See examples.

Value

list	the list with the cartesian product

Note

Called by the nPS function in the kStatistics package.

Author(s)

Elvira Di Nardo [e-mail],
Giuseppe Guarino [e-mail]

References

D. E. Knuth (1998) The Art of Computer Programming. (3rd ed.) Addison Wesley.

See Also

mpCart

Examples

A <- c(1,2)
B <- c(3,4,5) 
# Return the cartesian product [[1,3],[1,4],[1,5],[2,3],[2,4],[2,5]]
pCart( list( A, B) ) 
 

L1<-list( c(1,1), c(2)) 
L2<-list( c(5,5), c(7) )
# Return the cartesian product [[1,1],[5,5]], [[1,1],[7]], [[2],[5,5]], [[2],[7]]
# and assign the result to L3
L3<-pCart ( list(L1, L2) )
 
# Return the cartesian product between L3 and [7].
# The result is [[1,1],[5,5],[7]], [[1,1],[7],[7]], [[2],[5,5],[7]], [[2],[7],[7]]
pCart ( list(L3, c(7)) ) 

kStatistics documentation built on June 8, 2022, 5:05 p.m.