ss_fd {SIMICO}

d/d_sigma^2

Description

Calculates the first derivative term with respect to sigma^2.

Usage

ss_fd(l, phen, HL_array, HR_array, tpos_all, obs_all,
   apply_diffs, temp_beta, A_i, no_l_all, k, d)

Arguments

l

Index of first outcome of interest.

phen

List containing all the left and right design matrices.

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.

no_l_all

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

k

Total number of outcomes.

d

Number of quadrature nodes.

Value

The output is a single value for the first derivative with respect to sigma.