derivatives

matrix with value from previous iteration

Gamma

the coefficient matrix for the fixed variables,

Dmat

a U by U incidence matrix with elements; I(i,j)=1 if state j can be
accessed from state i in one step and 0 otherwise

the variable values for a given observation

refA

This function is used calculate the derivative values (first and second derivatives
 for Newton-Raphson method) and loglikelihood when updating A

Fit the reduced-rank multinomial logistic regression model for Markov
chains developed by Wang, Abner, Fardo, Schmitt, Jicha, Eldik and Kryscio
(2021)<doi:10.1002/sim.8923> in R. It combines the ideas of multinomial
logistic regression in Markov chains and reduced-rank. It is very useful in
a study where multi-states model is assumed and each transition among the
states is controlled by a series of covariates. The key advantage is to
reduce the number of parameters to be estimated. The final coefficients for
all the covariates and the p-values for the interested covariates will be
reported. The p-values for the whole coefficient matrix can be calculated by
two bootstrap methods.

derivatives: derivatives

Description

Usage

Arguments

Value