FM {ZIGP}R Documentation

Fisher Information

Description

'FM' calculates the (Expected) Fisher Information matrix.

Usage

FM(beta, alpha, gamma, X, W, Z, Offset = NULL)

Arguments

beta regression parameters for mean of length p
alpha regression parameters for overdispersion of length r
gamma regression parameters for zero inflation of length q
X design matrix of dim (n x p) for mean modelling.
W design matrix of dim (n x r) for overdispersion modelling.
Z design matrix of dim (n x q) for zero inflation modelling.
Offset exposure for individual observation lengths. Defaults to a vector of 1. The offset MUST NOT be in 'log' scale.

Details

n has to be defined as the number of observations.

Examples

X <- matrix(c(1:3,4,3,5),3,2)
W <- c(3,-4,-1)
Z <- rep(1,3)
n <- 3
beta  <- c(5,-2)
alpha <- 3.4
gamma <- -10
FM(beta, alpha, gamma, X, W, Z)
#              [,1]          [,2]         [,3]          [,4]
#[1,]  1.469180e+03  2.412237e+03 6.249334e-03 -8.400641e-11
#[2,]  2.412237e+03  3.965799e+03 1.040260e-02 -3.360257e-10
#[3,]  6.249334e-03  1.040260e-02 2.101615e-03  2.520099e-10
#[4,] -8.400641e-11 -3.360257e-10 2.520099e-10  9.079162e-05

[Package ZIGP version 3.3 Index]