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An Introduction to Applications of Wavelet Benchmarking with Seasonal Adjustment

Published version
Peer-reviewed

Type

Article

Change log

Authors

Sayal, Homesh 
Aston, John AD 
Elliott, Duncan 
Ombao, Hernando 

Abstract

jats:titleSummary</jats:title> jats:pBefore adjustment, low and high frequency data sets from national accounts are frequently inconsistent. Benchmarking is the procedure used by economic agencies to make such data sets consistent. It typically involves adjusting the high frequency time series (e.g. quarterly data) so that they become consistent with the lower frequency version (e.g. annual data). Various methods have been developed to approach this problem of inconsistency between data sets. The paper introduces a new statistical procedure, namely wavelet benchmarking. Wavelet properties allow high and low frequency processes to be jointly analysed and we show that benchmarking can be formulated and approached succinctly in the wavelet domain. Furthermore the time and frequency localization properties of wavelets are ideal for handling more complicated benchmarking problems. The versatility of the procedure is demonstrated by using simulation studies where we provide evidence showing that it substantially outperforms currently used methods. Finally, we apply this novel method of wavelet benchmarking to official data from the UK's Office for National Statistics.</jats:p>

Description

Keywords

benchmarking, seasonal adjustment, structural time series, thresholding, wavelets

Journal Title

Journal of the Royal Statistical Society Series A: Statistics in Society

Conference Name

Journal ISSN

0964-1998
1467-985X

Volume Title

Publisher

Oxford University Press (OUP)
Sponsorship
Engineering and Physical Sciences Research Council (EP/K021672/2)
Engineering and Physical Sciences Research Council (EP/N031938/1)
Engineering and Physical Sciences Research Council (EP/N014588/1)
Engineering and Physical Sciences Research Council