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Weakly dependent functional data (Q973886)

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Language	Label	Description	Also known as
English	Weakly dependent functional data	scientific article

Statements

scholarly article

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Weakly dependent functional data (English)

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The Annals of Statistics

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publication date

26 May 2010

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full work available at URL

https://arxiv.org/abs/1010.0792

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zbMATH Keywords

asymptotics

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change points

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eigenfunctions

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functional principal components

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functional time series

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long-run variance

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weak dependence

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Siegfried Hörmann

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Piotr S. Kokoszka

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Non-strong mixing autoregressive processes

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Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation

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Wavelet methods for continuous-time prediction using Hilbert-valued autoregressive processes

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Break detection in the covariance structure of multivariate time series models

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Common functional principal components

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Asymptotic results for the empirical process of stationary sequences

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Almost sure convergence of the Bartlett estimator

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On discriminating between long-range dependence and changes in mean

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Autoregressive Forecasting of Some Functional Climatic Variations

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Linear processes in function spaces. Theory and applications

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Inference and Prediction in Large Dimensions

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Prediction in functional linear regression

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Testing Hypotheses in the Functional Linear Model

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Diagnostics for functional regression via residual processes

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Linear functional regression: The case of fixed design and functional response

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Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference

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Mixing: Properties and examples

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A new weak dependence condition and applications to moment inequalities

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Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation

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STATIONARY ARCH MODELS: DEPENDENCE STRUCTURE AND CENTRAL LIMIT THEOREM

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Rescaled variance and related tests for long memory in volatility and levels

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Classes of linear operators. Vol. I

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On Properties of Functional Principal Components Analysis

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Augmented GARCH sequences: Dependence structure and asymptotics

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Some Limit Theorems for Stationary Processes

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Curve forecasting by functional autoregression

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K-Sample Analogues of the Kolmogorov-Smirnov and Cramer-V. Mises Tests

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On rates of convergence in functional linear regression

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The historical functional linear model

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Functional Additive Models

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Generalized functional linear models

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Almost sure invariance principles for partial sums of weakly dependent random variables

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Current developments in time series modelling

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Functional data analysis.

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Functional Principal Component Regression and Functional Partial Least Squares

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Smoothing Parameter Selection for a Class of Semiparametric Linear Models

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Functional Generalized Linear Models with Images as Predictors

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A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION

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Nonlinear system theory: Another look at dependence

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Strong invariance principles for dependent random variables

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Penalized Spline Models for Functional Principal Component Analysis

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Functional linear regression analysis for longitudinal data

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Functional Data Analysis for Sparse Longitudinal Data

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Identifiers

zbMATH Open document ID

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10.1214/09-AOS768

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:973886

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