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Les modèles non linéaires à effets mixtes - Isped

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A Simulated Annealing version of SAEM<br />

Conditional distribution of φ:<br />

Temperature parameter T :<br />

p Φ|Y ( φ |y; θ) = C(y; θ)e −U(φ,y;θ)<br />

p (T )<br />

Φ|Y ( φ |y; θ) = C T (y; θ)e − U(φ,y;θ)<br />

T<br />

Choose a decreasing Temperature sequence (T k ) that converges to 1.<br />

Then, at iteration k of SAEM,<br />

Simulation: draw the <strong>non</strong> observed data φ k with the conditional<br />

distribution p (T k)<br />

Φ|Y ( · |y; θ k−1)<br />

Sminaire ”Statistique et Sant Publique”, Bordeaux - 8 novembre 2005, p.28

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