Empirical spectral processes for stationary state space models
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Publication:2105074
DOI10.1016/j.spa.2022.10.008OpenAlexW4307568372MaRDI QIDQ2105074
Celeste Mayer, Vicky Fasen-Hartmann
Publication date: 8 December 2022
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12589
goodness of fit teststate space modelCramér-von Mises testempirical spectral processGrenander-Rosenblatt testMCARMA process
Processes with independent increments; Lévy processes (60G51) Asymptotic properties of nonparametric inference (62G20) Inference from stochastic processes and spectral analysis (62M15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Functional limit theorems; invariance principles (60F17)
Cites Work
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- Multivariate CARMA processes, continuous-time state space models and complete regularity of the innovations of the sampled processes
- Probability in Banach spaces. Isoperimetry and processes
- Empirical spectral processes for locally stationary time series
- Weak convergence of the function-indexed integrated periodogram for infinite variance processes
- Goodness of fit tests for spectral distributions
- Multivariate CARMA processes
- Empirical spectral processes and their applications to time series analysis
- Spectral representations of infinitely divisible processes
- Time series: theory and methods.
- Uniform convergence of the empirical spectral distribution function
- The integrated periodogram for stable processes
- The integrated periodogram for long-memory processes with finite or infinite variance
- The periodogram at the Fourier frequencies
- On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process
- Continuous time ARMA processes: discrete time representation and likelihood evaluation
- Weak convergence and empirical processes. With applications to statistics
- Whittle estimation for continuous-time stationary state space models with finite second moments
- Statistical inference of spectral estimation for continuous-time MA processes with finite second moments
- Estimation and information in stationary time series
- Uniform limit theorems for the integrated periodogram of weakly dependent time series and their applications to Whittle's estimate
- Normal Inverse Gaussian Distributions and Stochastic Volatility Modelling
- Existence and Convergence of Probability Measures in Banach Spaces
- Convergence of stochastic processes