gamma_off {SIMICO}

d^2/d_gamma_ldgamma_m

Description

Calculates the [off-diagonal] Information matrix term for I_gamma gamma with respect to outcome l and outcome m.

Usage

gamma_off(l, m, HL_array, HR_array,
   tpos_all, obs_all, temp_beta, A_i,
   no_l_all, no_two_all, gMat, a1, a2, k, d)

Arguments

l

Index of first outcome of interest.

m

Index of second outcome of interest.

HL_array

n x k matrix containing all the hazard values for the left times.

HR_array

n x k matrix containing all the hazard values for the right times.

tpos_all

n x k matrix containing a indictor for whether that time is left-censored or not.

obs_all

n x k matrix containing a indictor for whether that time is right-censored or not.

temp_beta

Vector of fitted coefficients.

A_i

Product of apply_diffs across all outcomes k summed over all quadrature nodes d.

no_l_all

n x (k - 1) matrix containing the product of apply_diffs across all outcomes k excluding the current outcome l.

no_two_all

n x (k - 2) matrix containing the product of apply_diffs across all outcomes k excluding the outcomes l and m.

gMat

n x q matrix of genetic information.

a1

First shape parameter of beta parameter.

a2

Second shape parameter of beta parameter.

k

Total number of outcomes.

d

Number of quadrature nodes.

Value

The output is a matrix containing the component of the information matrix of the gamma parameter for outcomes l and m.