Estimation of the autocovariance function with missing observations

Details Estimation of the autocovariance function with missing observations Estimation of the autocovariance function with missing observations

2010-04-21

arxiv.org/abs/1004.3717v1

Statistics

Methodology

16 pages

Scientific paper

We propose a novel estimator of the autocorrelation function in presence of missing observations. We establish the consistency, the asymptotic normality, and we derive deviation bounds for various classes of weakly dependent stationary time series, including causal or non causal models. In addition, we introduce a modified version periodogram defined from these autocorrelation estimators and derive asymptotic distribution of linear functionals of this estimator.

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