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Estimation of second-order properties from jittered time series

Robinson, Peter and Thomson, P J (1996) Estimation of second-order properties from jittered time series. Annals of the Institute of Statistical Mathematics, 48 (1). pp. 29-48. ISSN 0020-3157

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Identification Number: 10.1007/BF00049287


This paper considers spectral and autocovariance estimation for a zero-mean, band-limited, stationary process that has been sampled at time points jittered from a regular, equi-interval, sampling scheme. The case of interest is where the sampling scheme is near regular so that the jitter standard deviation is small compared to the sampling interval. Such situations occur with many time series collected in the physical sciences including, in particular, oceanographic profiles. Spectral estimation procedures are developed for the case of independent jitter and autocovariance estimation procedures for both independent and dependent jitter. These are typically modifications of general estimation procedures proposed elsewhere, but tailored to the particular jittered sampling scheme considered. The theoretical properties of these estimators are developed and their relative efficiencies compared. The properties of the jittered sampling point process are also developed. These lead to a better understanding, in this situation, of more general techniques available for processes sampled by stationary point processes.

Item Type: Article
Official URL:
Additional Information: © 1996 Institute of Statistical Mathematics
Divisions: Economics
Subjects: H Social Sciences > HA Statistics
H Social Sciences > HB Economic Theory
JEL classification: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C13 - Estimation
Date Deposited: 27 Apr 2007
Last Modified: 20 Feb 2021 03:19

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