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LMest (version 2.4.5)

recursions: Recursions used by est_lm_basic

Description

Implementation of the recursions to compute manifest probability of the responses and posterior distribution of the latent states (internal function).

Usage

recursions(S, R, yv, Psi, piv, Pi, k, lth, matr, Bm, Cm, bv, mod)

Arguments

S

matrix of distinct response configurations

R

matrix of missing response configurations

yv

corresponding vector of frequencies

Psi

matrix of conditional response probabilties

piv

initial probability vector

Pi

transition probability matrices

k

number of latent states

lth

internal argument

matr

internal argument

Bm

internal argument

Cm

internal argument

bv

internal argument

mod

model on the transition probabilities (0 for time-heter., 1 for time-homog., from 2 to (TT-1) partial homog. of that order)

Value

lk

log-likelihood

sc

score vector

F1

internal argument

F2

internal argument

F1d

internal argument

F2d

internal argument

References

Baum, L. E., Petrie, T., Soules, G., and Weiss, N. (1970). A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains. Annals of Mathematical Statistics, 41, 164-171.