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Les modèles non linéaires à effets mixtes - Isped

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Convergence of SAEM<br />

Delyon, Lavielle et Moulines (1999)<br />

For exponential models, the sequence (θ k ) converges almost surely<br />

toward a stationary point ̂θ g of the observed likelihood g under very<br />

general conditions.<br />

Some weak hypothesis ensure the convergence to a (local) maximum of<br />

the likelihood<br />

Practical drawbacks:<br />

Convergence depends on the initial guess.<br />

Sminaire ”Statistique et Sant Publique”, Bordeaux - 8 novembre 2005, p.27

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