Nonparametric density estimation for linear processes with infinite variance
DOI10.1007/s10463-007-0149-xzbMath1332.62123OpenAlexW2100560579MaRDI QIDQ730761
Publication date: 30 September 2009
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: http://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/16959/070econDP05-13.pdf
kernel density estimatordomain of attractionlinear processesstable distributionmartingale central limit theoremnoncentral limit theorem
Infinitely divisible distributions; stable distributions (60E07) Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)
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- Convergence rates in density estimation for data from infinite-order moving average processes
- Asymptotic normality of regression estimators with long memory errors
- On central and non-central limit theorems in density estimation for sequences of long-range dependence
- Mixing: Properties and examples
- Kernel density estimation for linear processes: Asymptotic normality and optimal bandwidth derivation
- Limit theorems for functionals of moving averages
- Central limit theorems for partial sums of bounded functionals of infinite-variance moving averages
- On the asymptotic distributions of partial sums of functionals of infinite-variance moving averages
- Asymptotic theory of statistical inference for time series
- Stable limits of empirical processes of moving averages with infinite variance.
- Stable limits of sums of bounded functions of long memory moving averages with finite variance
- On the asymptotic expansion of the empirical process of long-memory moving averages
- Nonlinear time series. Nonparametric and parametric methods
- Asymptotics of empirical processes of long memory moving averages with infinite variance.
- Nonparametric regression under dependent errors with infinite variance
- Density estimation under long-range dependence
- Pointwise convergence rates and central limit theorems for kernel density estimators in linear processes
- NON‐PARAMETRIC ESTIMATION WITH STRONGLY DEPENDENT MULTIVARIATE TIME SERIES
- Kernel density estimation for linear processes
- Nonparametric density estimation for a long-range dependent linear process