gammatheta: d^2/d_gamma_kdtheta_k

In SIMICO: Set-Based Inference for Multiple Interval-Censored Outcomes

d^2/d_gamma_kdtheta_k

Description

Calculates the Information matrix term of I_eta gamma for outcome k.

Usage

gammatheta(l, HL_array, HR_array, tpos_all, obs_all, apply_diffs,
   temp_beta, A_i, xDats, no_l_all, gMat, a1, a2, d)

Arguments

l	Index of first 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.
apply_diffs	Matrix containing the differences between survival functions of the left and right time intervals.
temp_beta	vector of fitted coefficients.
A_i	Product of apply_diffs across all outcomes k summed over all quadrature nodes d.
xDats	List of design matrices for all outcomes.
no_l_all	n x (k - 1) matrix containing the product of apply_diffs across all outcomes k excluding the current outcome l.
gMat	n x q matrix of genetic information.
a1	First shape parameter of beta parameter.
a2	Second shape parameter of beta parameter.
d	Number of quadrature nodes.

Value

The output is a matrix containing the component of the information matrix of the gamma and theta parameters for outcome l.

SIMICO documentation built on Nov. 26, 2022, 1:06 a.m.