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Activity Number: 65 - Forecasting and Time Series Estimation
Type: Contributed
Date/Time: Monday, August 3, 2020 : 10:00 AM to 2:00 PM
Sponsor: Business and Economic Statistics Section
Abstract #311160
Title: Efficient Non-Parametric Spectral Density Estimation with Randomly Censored Data
Author(s): Jiaju Wu* and Sam Efromovich
Companies: University of Texas at Dallas and University of Texas at Dallas
Keywords: Spectral Density; Time Series; Right Censoring; Survival Analysis; Non-parametric
Abstract:

Spectral Density estimation is a well known problem for a directly observed time series. The literature on spectral density estimation for a right-censored time series is next to none. A data-driven spectral density estimator for a right censored time series is suggested. This estimator adapts to unknown smoothness of the spectral density and unknown distribution of a censored random variable. Asymptotic upper bound of the mean integrated squared error (MISE) of the proposed estimator is obtained. The estimator is studied via simulated examples.


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