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Efficiency of the empirical distribution for ergodic diffusion

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Publication:1380402
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DOI10.2307/3318459zbMath0910.62079OpenAlexW2043827583MaRDI QIDQ1380402

Yury A. Kutoyants

Publication date: 4 March 1998

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1175882218


zbMATH Keywords

ergodic diffusion processempirical distributionminimax bound


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05)


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On confidence intervals for distribution function and density of ergodic diffusion process ⋮ Empirical‐process‐based specification tests for diffusion models ⋮ Semiparametric estimation of a functional of the drift coefficient of a dynamical system with small noise ⋮ Asymptotically distribution-free tests for the volatility function of a diffusion ⋮ Moment estimation for ergodic diffusion processes ⋮ Efficiency of a Class of Unbiased Estimators for the Invariant Distribution Function of a Diffusion Process ⋮ Donsker theorems for diffusions: necessary and sufficient conditions ⋮ Asymptotic equivalence of estimating a Poisson intensity and a positive diffusion drift



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