Nonparametric inference on Lévy measures of compound Poisson-driven Ornstein-Uhlenbeck processes under macroscopic discrete observations
DOI10.1214/19-EJS1584zbMath1426.62244arXiv1803.08671OpenAlexW2963213993MaRDI QIDQ2316609
Publication date: 6 August 2019
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.08671
spectral estimationnonparametric inferencehigh-dimensional central limit theoremcompound Poisson-driven Ornstein-Uhlenbeck processmacroscopic observations
Processes with independent increments; Lévy processes (60G51) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric tolerance and confidence regions (62G15) Inference from stochastic processes and spectral analysis (62M15) Markov processes: estimation; hidden Markov models (62M05)
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Cites Work
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- Statistical inference for time-changed Lévy processes via Mellin transform approach
- Empirical and multiplier bootstraps for suprema of empirical processes of increasing complexity, and related Gaussian couplings
- Nonparametric inference on Lévy measures and copulas
- Sieve-based confidence intervals and bands for Lévy densities
- Gaussian approximation of suprema of empirical processes
- On infinitely divisible distributions with polynomially decaying characteristic functions
- Anti-concentration and honest, adaptive confidence bands
- Quantile estimation for Lévy measures
- Sup-norm convergence rates for Lévy density estimation
- Nonparametric tests for detecting breaks in the jump behaviour of a time-continuous process
- Uniform confidence bands for functions estimated nonparametrically with instrumental variables
- Weak convergence of the empirical truncated distribution function of the Lévy measure of an Itō semimartingale
- Spectral estimation of the Lévy density in partially observed affine models
- Estimation for Lévy processes from high frequency data within a long time interval
- Nonparametric estimation for Lévy processes from low-frequency observations
- On the local asymptotic behavior of the likelihood function for Meixner Lévy processes under high-frequency sampling
- Statistical inference for time-changed Lévy processes via composite characteristic function estimation
- Efficient nonparametric inference for discretely observed compound Poisson processes
- Strong consistency and rates for deconvolution of multivariate densities of stationary processes
- Nonparametric estimation for a class of Lévy processes
- Nonparametric inference for Lévy-driven Ornstein-Uhlenbeck processes
- Nonparametric estimation of Mark's distribution of an exponential shot-noise process
- Nonparametric estimation for pure jump Lévy processes based on high frequency data
- Multivariate regression estimation with errors-in-variables: Asymptotic normality for mixing processes
- Asymptotic normality for deconvolution estimators of multivariate densities of stationary processes
- On a gamma series expansion for the time-dependent probability of collective ruin
- On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process
- Decompounding: an estimation problem for Poisson random sums.
- A Lévy-driven rainfall model with applications to futures pricing
- Efficient estimation of stable Lévy process with symmetric jumps
- Low-frequency estimation of continuous-time moving average Lévy processes
- A Donsker theorem for Lévy measures
- Uniform confidence bands in deconvolution with unknown error distribution
- Nonparametric estimation of compound distributions with applications in insurance
- Nonlinear time series. Nonparametric and parametric methods
- Approximate self-weighted LAD estimation of discretely observed ergodic Ornstein-Uhlenbeck processes
- Statistical inference across time scales
- Nonparametric adaptive estimation for pure jump Lévy processes
- Least squares estimator for Ornstein-Uhlenbeck processes driven by \(\alpha \)-stable motions
- On convergence rates of suprema
- Bootstrap confidence bands for spectral estimation of Lévy densities under high-frequency observations
- Adaptive procedure for Fourier estimators: application to deconvolution and decompounding
- Comparison and anti-concentration bounds for maxima of Gaussian random vectors
- Density estimation for compound Poisson processes from discrete data
- Nonparametric inference for discretely sampled Lévy processes
- Adaptive nonparametric estimation for Lévy processes observed at low frequency
- Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors
- When is it no longer possible to estimate a compound Poisson process?
- Calibration of self-decomposable Lévy models
- Efficient maximum likelihood estimation for Lévy-driven Ornstein-Uhlenbeck processes
- Inference on the Lévy measure in case of noisy observations
- A kernel type nonparametric density estimator for decompounding
- High-frequency Donsker theorems for Lévy measures
- On hitting times for compound Poisson dams with exponential jumps and linear release rate
- Estimation and Calibration of Lévy Models via Fourier Methods
- Parametric Estimation of Lévy Processes
- Central Limit Theorems for the Non-Parametric Estimation of Time-Changed Lévy Models
- Multivariate probability density deconvolution for stationary random processes
- Density Estimation of Lévy Measures for Discretely Observed Diffusion Processes with Jumps
- Nonparametric estimation of time-changed Lévy models under high-frequency data
- Nonparametric estimation of the characteristic triplet of a discretely observed Lévy process
- Mixing Conditions for Markov Chains
- Real Analysis and Probability
- Nonparametric regression with infinite order flat-top kernels
- Non-Parametric Confidence Bands in Deconvolution Density Estimation
- Local asymptotic normality for normal inverse Gaussian Lévy processes with high-frequency sampling
- Estimation for Nonnegative Lévy-Driven Ornstein-Uhlenbeck Processes
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