Skip to content

Commit

Permalink
added Delattre and Kuhn entries in the production pipeline
Browse files Browse the repository at this point in the history
  • Loading branch information
jchiquet committed Nov 17, 2023
1 parent deb60a5 commit 9287fc5
Showing 1 changed file with 15 additions and 0 deletions.
15 changes: 15 additions & 0 deletions _bibliography/in_production.bib
Original file line number Diff line number Diff line change
@@ -0,0 +1,15 @@
@article{delattre_fim,
bibtex_show = {true},
author = {Delattre, Maud and Kuhn, Estelle},
title = {{Computing an empirical Fisher information matrix estimate in latent variable models through stochastic approximation}},
journal = {Computo},
year = 2023,
abstract = {The Fisher information matrix (FIM) is a key quantity in statistics. However its exact computation is often not trivial. In particular in many latent variable models, it is intricated due to the presence of unobserved variables. Several methods have been proposed to approximate the FIM when it can not be evaluated analytically. Different estimates have been considered, in particular moment estimates. However some of them require to compute second derivatives of the complete data log-likelihood which leads to some disadvantages. In this paper, we focus on the empirical Fisher information matrix defined as an empirical estimate of the covariance matrix of the score, which only requires to compute the first derivatives of the log-likelihood. Our contribution consists in presenting a new numerical method to evaluate this empirical Fisher information matrix in latent variable model when the proposed estimate can not be directly analytically evaluated. We propose a stochastic approximation estimation algorithm to compute this estimate as a by-product of the parameter estimate. We evaluate the finite sample size properties of the proposed estimate and the convergence properties of the estimation algorithm through simulation studies.},
doi = {10.57750/r5gx-jk62},
repository = {published-202311-delattre-fim},
type = {{Research article}},
language = {R},
domain = {Statistics},
keywords = {Model-based standard error, moment estimate, Fisher identity, stochastic approximation algorithm},
issn = {2824-7795},
}

0 comments on commit 9287fc5

Please sign in to comment.