PerMallows (version 1.14)

lgmm.theta: MLE for theta - Generalized Mallows Model

Description

Compute the MLE for the dispersion parameter (theta) given a sample of n permutations and a central permutation

Usage

lgmm.theta(
  data,
  sigma_0 = identity.permutation(dim(data)[2]),
  dist.name = "kendall"
)

Value

The MLE for the dispersion parameter

Arguments

data

the matrix with the permutations to estimate

sigma_0

optional the initial guess for the consensus permutation. If not given it is assumed to be the identity permutation

dist.name

optional name of the distance used by the GMM. One of: kendall (default), cayley, hamming

Examples

data <- matrix(c(1,2,3,4, 1,4,3,2, 1,2,4,3), nrow = 3, ncol = 4, byrow = TRUE)
lgmm.theta(data, dist.name="kendall")
lgmm.theta(data, dist.name="cayley")
lgmm.theta(data, dist.name="cayley", sigma_0=c(1,4,3,2))
lgmm.theta(data, dist.name="hamming")