mCoeff: Extraction of a number from a list

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

Extraction of a number from a list

Description

Given a list containing vectors paired with numbers, the function returns the number paired with the vector matching the one passed in input.

Usage

mCoeff( v=NULL,L=NULL ) 

Arguments

v	vector to be searched in the list
L	two-dimensional list: in the first there is a vector and in the second a number

Details

The input variable L of the mCoeff function is a list containing vectors and numbers. The input variable v of the mCoeff function is one of vectors contained in the list. The function searches the vector v in the list and returns the number which is paired with v in the list. This function is useful in the construction of k-statistics but also to manage monomials and their coefficients.

Value

float

the number paired with the input vector

Note

Called by the nPS, nKM and nPM functions in the kStatistics package.

Author(s)

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

References

E. Di Nardo, G. Guarino, D. Senato (2008) An unifying framework for k-statistics, polykays and their generalizations. Bernoulli. 14(2), 440-468. (download from https://arxiv.org/pdf/math/0607623.pdf)

See Also

mkmSet, countP, nStirling2, intPart, ff

Examples

# Run mkmSet(c(3)) to get the list L1 = [[1,1,1],1], [[1,2],3], [[3],1]
L1 <- mkmSet(c(3))   

# Return the number 3, which is the number paired with [1,2] in L1
mCoeff( c(1,2), L1)  
 

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