A minimal contrast estimator for the linear fractional stable motion
DOI10.1007/s11203-020-09216-2zbMath1454.60052arXiv1911.04341OpenAlexW3033951322MaRDI QIDQ2194054
Mark Podolskij, Mathias Mørck Ljungdahl
Publication date: 25 August 2020
Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04341
bootstrapLévy processesself-similaritylimit theoremssubsamplingparametric estimationlow frequencylinear fractional processes
Infinitely divisible distributions; stable distributions (60E07) Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Fractional processes, including fractional Brownian motion (60G22) Stationary stochastic processes (60G10)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Estimation of the linear fractional stable motion
- Linear fractional stable motion: A wavelet estimator of the \(\alpha\) parameter
- Estimation of the global regularity of a multifractional Brownian motion
- Power variation for a class of stationary increments Lévy driven moving averages
- Efficient parameter estimation for self-similar processes
- On weak convergence of integral functionals of stochastic processes with applications to processes taking paths in \(L^ E_ p\)
- Ergodic properties of stationary stable processes
- Quadratic variations and estimation of the local Hölder index of a Gaussian process
- Central limit theorems for partial sums of bounded functionals of infinite-variance moving averages
- Estimation of the Hurst and the stability indices of a \(H\)-self-similar stable process
- On roughness indices for fractional fields
- Local asymptotic normality property for fractional Gaussian noise under high-frequency observations
- Estimation of the self-similarity parameter in linear fractional stable motion.
- The structure of self-similar stable mixed moving averages
- On the structure of stationary stable processes
- Nonparametric estimation of the local Hurst function of multifractional Gaussian processes
- A note on parametric estimation of Lévy moving average processes
- On limit theory for functionals of stationary increments Lévy driven moving averages
- Scaling properties of the empirical structure function of linear fractional stable motion and estimation of its parameters
- Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation
- Asymptotic estimates of multi-dimensional stable densities and their applications
- Some Measurability Results for Extrema of Random Functions Over Random Sets
- A Limited Memory Algorithm for Bound Constrained Optimization
- Fractional Brownian Motions, Fractional Noises and Applications
- [https://portal.mardi4nfdi.de/wiki/Publication:5578526 Gaussian Quadratures for the Integrals � ∞ 0 exp(-x 2 )f(x)dx and � b 0 exp(-x 2 )f(x)dx]
- A Simplex Method for Function Minimization
- SIMULATION METHODS FOR LINEAR FRACTIONAL STABLE MOTION AND FARIMA USING THE FAST FOURIER TRANSFORM
- Cramèr-Rao bounds for fractional Brownian motions
This page was built for publication: A minimal contrast estimator for the linear fractional stable motion