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An efficient estimation of the GLMM with correlated random effects
Högskolan Dalarna, Akademin Industri och samhälle, Statistik.ORCID-id: 0000-0002-3183-3756
2008 (Engelska)Ingår i: COMPSTAT'2008: International Conference on Computational Statistics / [ed] Moudud, Alam, Porto-Portugal, 2008Konferensbidrag, Publicerat paper (Övrigt vetenskapligt)
Abstract [en]

This paper presents a two-step pseudo likelihood estimation technique for the generalized linear mixed models (GLMM) with random effects being correlated (possibly between subjects). Due to the use of the two-step estimation technique the proposed algorithm outperforms the conventional pseudo likelihood algorithms, e.g. Wolfinger and O’Connell (1993), in terms of computational time. Moreover, it does not require any reparametarisation of the model such as Lindstrom and Bates (1989). Multivariate Taylor’s approximation has been used to approximate the intractable integrals in the likelihood function of the GLMM. Based on the analytical expression for the estimator of the covariance matrix of the random effects, a condition has been presented as to when such a covariance matrix can be estimated through the estimates of the random effects. An application of the estimation technique with a binary response variable is presented using a real data set on credit defaults.

Ort, förlag, år, upplaga, sidor
Porto-Portugal, 2008.
Nyckelord [en]
Laplace approximation, PQL, defaults correlation.
Identifikatorer
URN: urn:nbn:se:du-3402OAI: oai:dalea.du.se:3402DiVA, id: diva2:521858
Konferens
COMPSTAT'2008: International Conference on Computational Statistics , Porto-Portugal, Monday 25th of August, 2008
Tillgänglig från: 2008-09-04 Skapad: 2008-09-04 Senast uppdaterad: 2015-12-11Bibliografiskt granskad

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