Limit theorems for nondegenerate \(U\)-statistics of continuous semimartingales
DOI10.1214/13-AAP983zbMath1308.60051arXiv1210.0358OpenAlexW2067407326MaRDI QIDQ473167
Christian Schmidt, Johanna F. Ziegel, Mark Podolskij
Publication date: 21 November 2014
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.0358
semimartingalesmathematical financestable functional central limit theorem, \(U\)-statisticsuniform convergence in probability
Applications of statistics to actuarial sciences and financial mathematics (62P05) Central limit and other weak theorems (60F05) Non-Markovian processes: estimation (62M09) Strong limit theorems (60F15) Generalizations of martingales (60G48) Financial applications of other theories (91G80) Stochastic integrals (60H05) Functional limit theorems; invariance principles (60F17)
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Cites Work
- Testing the parametric form of the volatility in continuous time diffusion models -- a stochastic process approach
- Deriving the asymptotic distribution of \(U\)- and \(V\)-statistics of dependent data using weighted empirical processes
- Asymptotic properties of \(U\)-processes under long-range dependence
- Discretization of processes.
- Limit theorems for bivariate Appell polynomials. I: Central limit theorems
- The empirical process of some long-range dependent sequences with an application to U-statistics
- A note on the central limit theorem for bipower variation of general functions
- Limit theorems for moving averages of discretized processes plus noise
- Bivariate symmetric statistics of long-range dependent observations
- On mixing and stability of limit theorems
- Consistency of the Takens estimator for the correlation dimension
- On weighted \(U\)-statistics for stationary processes.
- Asymptotic properties of realized power variations and related functionals of semimartingales
- Limit theorems for functionals of mixing processes with applications to $U$-statistics and dimension estimation
- Estimation of Integrated Volatility in Continuous-Time Financial Models with Applications to Goodness-of-Fit Testing
- On U-statistics and v. mise? statistics for weakly dependent processes
- Non‐Parametric Change‐Point Tests for Long‐Range Dependent Data
- A Class of Statistics with Asymptotically Normal Distribution
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