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1 out of 20 possible scenarios: how to perform temporal disaggregation of annual sector accounts data Dario Buono Eurostat, Unit B1: Methodology and corporate architecture Filippo Gregorini Eurostat, Unit C1: National accounts methodology.


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1 out of 20 possible scenarios: how to perform temporal disaggregation of annual sector accounts data

Dario Buono

Eurostat, Unit B1: Methodology and corporate architecture

Filippo Gregorini

Eurostat, Unit C1: National accounts methodology. Sector accounts. Financial indicators

Enrico Infante

Eurostat, Unit C1: National accounts methodology. Sector accounts. Financial indicators Università degli studi di Napoli Federico II, Dipartimento di scienze economiche e statistiche

NTTS, Brussels 11th March 2015

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Eurostat

Summary

  • Introduction
  • Methods
  • Results
  • Conclusions

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Introduction

  • Sector accounts data are to be provided by Member States on

both annual and quarterly bases

  • Member States whose contribution to the EU GDP is below 1%

("small") have to provide only a partial matrix for quarterly data

  • In such cases only annual data are available, but quarterly

estimates for "small" countries are needed for the production of quarterly data for the aggregates (EA, EU)

  • The aim of this paper is to build an empirical application to

estimate missing quarterly series for the 5 "small" EU countries to produce EU28 aggregates

  • The whole exercise is performed with JDemetra+ 2.0.0

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Methods

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  • Accounting and temporal constraints
  • Mathematical methods:
  • Denton (1971)
  • Regression based methods:
  • Chow-Lin (1971) – AR(1)
  • Fernández (1981) – Random Walk
  • Litterman (1983) – Random Walk Markov
  • Many other methods are available, as Di Fonzo and Marini (2012),

which takes into account both the two constraints

  • Timing constraints
  • The exercise is to be performed during the production round, where

the time constraint is really important

Soft Watch at the Moment of First Explosion, Dali (1954)

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Which method does what: possible scenarios

Temporal constraint (temporal disaggregation) Accounting constraint (benchmarking)

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Denton modified Cholette-Dagum-Bee Cholette modified Naïve Denton Chow-Lin (Fernández, Litterman) Wei-Stram DiFonzo-Marini

X

EU28 AGGREGATE

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Methods

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Target series: Quarterly EU28 aggregate

A B C

Quarterly EU28 figures, assuming the missing 5 countries behave like the other 23 countries Quarterly figures for each of the 5 missing countries Quarterly figures for the 5 missing countries aggregated "EU5"

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Methods

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Target series: Quarterly EU28 aggregate

A

Quarterly EU28 figures, assuming the missing 5 countries behave like the other 23 countries Quarterly EU23 data of the same variable

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Methods

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Target series: Quarterly EU28 aggregate

B

Quarterly figures for each of the 5 missing countries Related available quarterly data for each missing county (e.g. GDI)

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Methods

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Target series: Quarterly EU28 aggregate

C

Quarterly figures for the 5 missing countries aggregated "EU5"

  • Quarterly EU23 data
  • Seasonal component of EU23 data
  • Trend and irregular component of EU23 data
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Results

  • The series showed here is the compensation of employees paid by

non-financial corporations (S11_D1PAY)

  • For this specific transaction, the weight of the 5 missing countries

among the total EU is 2.04%. In general the weight is between 1.5% and 3%

  • The exercise has been performed by using approach "A"
  • In the charts only the extrapolated "EU5" figures are presented, in
  • rder to better show the differences between the different

methods

  • The Denton and the Chow-Lin approaches are compared with the

naïve method (dividing the annual figures by 4)

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Results

  • Although the differences between Denton and Chow-Lin methods

are small, the latter will allow us to look at goodness of fit statistics

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Conclusions

  • Our exercise shows that with up-to-date software, different

approaches are fast and easily replicable, and therefore useful for production purposes

  • Chow-Lin (and similar) statistical model is as fast as

mathematical models to be displayed but also has the key advantage of being a statistical method, so that its regression analysis enable to measure the goodness of fit of the estimates

  • JDemetra+ is an user-friendly tool which allows the users to

modify the specifications according to specific needs in a quick and easy way

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Thank you for your attention!

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