dmm: Calculate the probability of a permutation in a MM

In PerMallows: Permutations and Mallows Distributions

Calculate the probability of a permutation in a MM

Description

Calculate the probability of a permutation sigma in a MM of center sigma0, dispersion parameter theta and under the specified distance

Usage

dmm(
  perm,
  sigma0 = identity.permutation(length(perm)),
  theta,
  dist.name = "kendall"
)

Arguments

perm	permutation whose probability is asked for
sigma0	optional central permuation of the MM, by default the identity
theta	dispersion parameter of the MM
dist.name	optional name of the distance used in the MM. One of: kendall (default), cayley, hamming, ulam

Value

The probability of sigma in the given MM

Examples

data <- matrix(c(1,2,3, 4,1,4,3,2,1,2,4,3), nrow = 3, ncol = 4, byrow = TRUE)
sig<-c(1,2,3,4)
log.prob <- apply(data,MARGIN=1,FUN=function(x){log(dmm(x,sig, 1,"cayley"))})
sum(log.prob)
dmm(c(1,3,2,4), theta=0.1)
dmm(c(1,3,2,4), theta=0.1, dist.name="cayley")
dmm(c(1,3,2,4), theta=0.1, dist.name="hamming")
dmm(c(1,3,2,4), theta=0.1, dist.name="ulam")

PerMallows documentation built on April 3, 2025, 11:09 p.m.