Adaptive estimation for affine stochastic delay differential equations
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Publication:1767483
DOI10.3150/bj/1110228243zbMath1059.62089OpenAlexW2149727377MaRDI QIDQ1767483
Publication date: 11 March 2005
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3150/bj/1110228243
Density estimation (62G07) Non-Markovian processes: estimation (62M09) Markov processes: estimation; hidden Markov models (62M05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of functional analysis in probability theory and statistics (46N30)
Related Items (5)
Statistical inference for discrete-time samples from affine stochastic delay differential equations ⋮ Parameter estimation for rough differential equations ⋮ Parameter estimation for the stochastic SIS epidemic model ⋮ Stability of highly nonlinear hybrid stochastic integro-differential delay equations ⋮ Nonlinear estimation for linear inverse problems with error in the operator
Cites Work
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- Minimax theory of image reconstruction
- Parametric estimation of a diffusion process with delays
- Introduction to functional differential equations
- Wavelets on the interval and fast wavelet transforms
- Exponential families of stochastic processes
- Wavelets, approximation, and statistical applications
- Thresholding estimators for linear inverse problems and deconvolutions
- Adaptive estimation in diffusion processes.
- Minimax estimation of the noise level and of the deconvolution density in a semiparametric convolution model
- Oracle inequalities for inverse problems
- Sharp adaptation for inverse problems with random noise
- Minimax rates of nonparametric drift estimation in affine stochastic delay differential equations
- On stationary solutions of delay differential equations driven by a Lévy process.
- Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
- Asymptotic inference for a linear stochastic differential equation with time delay
- Deviation probability bound for martingales with applications to statistical estimation
- Qualitative behaviour of stochastic delay equations with a bounded memory
- Hyperbolic State Space Decomposition for a Linear Stochastic Delay Equation
- Wavelet decomposition approaches to statistical inverse problems
- Time to Build and Aggregate Fluctuations
- Langevins stochastic differential equation extended by a time-delayed term
- Complete Models with Stochastic Volatility
- Ideal spatial adaptation by wavelet shrinkage
- On inverse problems with unknown operators
- Adaptive Wavelet Galerkin Methods for Linear Inverse Problems
- ESTIMATING THE DELAY TIME IN AFFINE STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
- Adaptive estimation for inverse problems with noisy operators
- Thresholding algorithms, maxisets and well-concentrated bases
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