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arxiv: 1610.03694 · v1 · pith:D7VMEBOQnew · submitted 2016-10-12 · 🧮 math.ST · stat.TH

Local asymptotic normality property for fractional Gaussian noise under high-frequency observations

classification 🧮 math.ST stat.TH
keywords asymptoticfractionalgaussianhigh-frequencylocalnoisenon-diagonalnormality
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Local Asymptotic Normality (LAN) property for fractional Gaussian noise under high-frequency observations is proved with a non-diagonal rate matrix depending on the parameter to be estimated. In contrast to the LAN families in the literature, non-diagonal rate matrices are inevitable.

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