Local asymptotic normality for normal inverse Gaussian Lévy processes with high-frequency sampling
نویسندگان
چکیده
منابع مشابه
Local asymptotic normality for normal inverse Gaussian Lévy processes with high-frequency sampling
We prove the local asymptotic normality for the full parameters of the normal inverse Gaussian Lévy process X, when we observe high-frequency data X∆n , X2∆n , . . . , Xn∆n with sampling mesh ∆n → 0 and the terminal sampling time n∆n → ∞. The rate of convergence turns out to be ( √ n∆n, √ n∆n, √ n, √ n) for the dominating parameter (α, β, δ, μ), where α stands for the heaviness of the tails, β ...
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ژورنال
عنوان ژورنال: ESAIM: Probability and Statistics
سال: 2012
ISSN: 1292-8100,1262-3318
DOI: 10.1051/ps/2011101