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kStatistics (version 2.0)

Unbiased Estimators for Cumulant Products

Description

Tools for estimate (joint) cumulants and products of (joint) cumulants of a given population distribution using (multivariate) k-statistics and (multivariate) polykays, unbiased estimators with minimum variance. Tools for generating univariate and multivariate Faa di Bruno's formula and related polynomials, such as Bell polynomials, generalized complete Bell polynomials, partition polynomials, generalized partition polynomials. For more details see Di Nardo E., Guarino G., Senato D. (2009) , .

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Version

Install

install.packages('kStatistics')

Monthly Downloads

616

Version

2.0

License

GPL

Maintainer

Giuseppe Guarino

Last Published

July 24th, 2020

Functions in kStatistics (2.0)

ff

Falling factorial
cum2mom

Cumulants in terms of moments
e_GCBellPol

Evaluation of Generalized Complete Bell Polynomial
MFB

Faa di Bruno's formula
GCBellPol

Generalized Complete Bell Polynomial
Set2expr

converts a vector into a string
MFB2Set

Convert the output of the MFB function to a vector
BellPol

Bell polynomials
countP

Multiplicity of a subdivision
powS

Power sums
mCoeff

Multiplicity in a multiset
e_MFB

Evaluation of Faa di Bruno's formula
intPart

Integer partitions
kStatistics-package

kStatistics
list2Set

List To Set
mkT

Scomposition of a vector of non-negative integers
gpPart

General partition polynomial
pCart

Cartesian product
pPoly

Product of Polynomials
nKM

Multivariate K-Statistics
mpCart

Pairing two multisets
m2Set

Multiset To Set
pPart

Partition polynomial
mkmSet

Subdivisions of a Multiset
nKS

Simple K-Statistics
nPM

Multivariate Polykays
nPerm

Complete enumeration of all possible permutations
mom2cum

Moments in terms of cumulants
nPS

Simple Polykays
umSet

Disjoint union of multisets
list2m

List To Multiset
nStirling2

Stirling number of second kind
nPolyk

K-Statistics Master function