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arxiv: physics/0605149 · v2 · submitted 2006-05-17 · ⚛️ physics.data-an · cond-mat.stat-mech· physics.soc-ph· q-fin.ST

Optimal approximations of power-laws with exponentials

classification ⚛️ physics.data-an cond-mat.stat-mechphysics.soc-phq-fin.ST
keywords exponentialsapplicationsapproximateapproximationsaveragesdiscussedexplicitfinite
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We propose an explicit recursive method to approximate a power-law with a finite sum of weighted exponentials. Applications to moving averages with long memory are discussed in relationship with stochastic volatility models.

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