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arxiv: 1901.01026 · v2 · pith:75MN2ROZnew · submitted 2019-01-04 · 🧮 math.ST · math.PR· stat.TH

On central limit theorems for power variations of the solution to the stochastic heat equation

classification 🧮 math.ST math.PRstat.TH
keywords centralequationheatlimitpowersolutionstochasticvariations
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We consider the stochastic heat equation whose solution is observed discretely in space and time. An asymptotic analysis of power variations is presented including the proof of a central limit theorem. It generalizes the theory from arXiv:1710.03519 in several directions.

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