fabMix (version 5.1)

compute_sufficient_statistics_given_mu: Compute sufficient statistics given mu

Description

Compute sufficient statistics given \(y\), \(z\) and \(\mu\).

Usage

compute_sufficient_statistics_given_mu(y, z, K, x_data,mu)

Value

A list with six entries of sufficient statistics.

cluster_size

Integer vector of length \(K\)

sx

\(K\times p\) array

sy

\(K\times q\) array

sxx

Not used

syy

\(K\times q \times q\) array

sxy

\(K\times p \times q\) array

Arguments

y

\(n\times q\) matrix of factors

z

Allocation vector

K

Number of components

x_data

\(n\times p\) matrix with observed data

mu

\(K\times p\) matrix with marignal means per component

Author

Panagiotis Papastamoulis

Examples

        data(waveDataset1500)
        x_data <- as.matrix(waveDataset1500[ 1:20, -1]) # data
        z <-  waveDataset1500[ 1:20, 1] # class
        p <- dim(x_data)[2]
        n <- dim(x_data)[1]
        q <- 2
        K <- length(table(z))           # 3 classes
        # give some arbitrary values to the parameters:
        set.seed(1)
        mu <- array( runif(K * p), dim = c(K,p) )
	y <- array(rnorm(n = q*n), dim = c(n,q))
	# compute sufficient stats 
	suf_stat <- compute_sufficient_statistics_given_mu(y = y, 
	 z = z, K = K, x_data = x_data, mu = mu)