2001
DOI: 10.1111/1467-842x.00187
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Applications: The Surrogate Henderson Filters in X‐11

Abstract: This paper explains the surrogate Henderson filters that are used in the X-11 variant of the Census Method II seasonal adjustment program to obtain trends at the ends of time series. It describes a prediction interpretation for these surrogate filters, justifies an approximation to the filters, proposed by Kenny & Durbin (1982), and proposes a further interpretation of the results. The starting point for the paper is unpublished work by Musgrave (1964aMusgrave ( , 1964b. His work has continuing relevance to cu… Show more

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Cited by 28 publications
(29 citation statements)
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“…This class generalizes the well-known Musgrave's asymmetric approximation of the Henderson filters [Musgrave (1964), see also Doherty (2001), Gray and Thomson (2002) and Quenneville, Ladiray and Lefrancois (2003)], which is implemented in the seasonal adjustment filter X-11, developed by the US Census Bureau [see Findley et al (1998) and Ladiray and Quenneville (2001)]. The class of filters depends on the properties of the true underlying signal, namely, its level, slope, curvature and so forth, which can be estimated from the data.…”
mentioning
confidence: 68%
See 1 more Smart Citation
“…This class generalizes the well-known Musgrave's asymmetric approximation of the Henderson filters [Musgrave (1964), see also Doherty (2001), Gray and Thomson (2002) and Quenneville, Ladiray and Lefrancois (2003)], which is implemented in the seasonal adjustment filter X-11, developed by the US Census Bureau [see Findley et al (1998) and Ladiray and Quenneville (2001)]. The class of filters depends on the properties of the true underlying signal, namely, its level, slope, curvature and so forth, which can be estimated from the data.…”
mentioning
confidence: 68%
“…As a result, the usual expression for v [i] , the ith element of the vector v, as presented in Doherty (2001), Findley et al (1998) and Ladiray and Quenneville (2001), in terms of the elements of the vector w = {w [j] , j = 1, . .…”
Section: Replacing Into the Expression For V Yieldsmentioning
confidence: 99%
“…The logic of that method has been uncovered by Doherty (2001), who has referenced the unpublished papers of Musgrave (1964aMusgrave ( , 1964b and of Laniel (1986) (see also Gray and Thomson (2002) for a discourse on the end-of-sample problem).…”
Section: A Classical Econometric Filtermentioning
confidence: 99%
“…Doherty (2001) has given an account of the origin of these filters and of the theory that lies behind them. Gray and Thomson (2002) have provided an exhaustive treatment of the theory of end-of-sample filters.…”
Section: Now Observe Thatmentioning
confidence: 99%