Arbeitspapier

Outlier robust small area estimation under spatial correlation

Modern systems of official statistics require the estimation and publication of business statistics for disaggregated domains, for example, industry domains and geographical regions. Outlier robust methods have proven to be useful for small area estimation. Recently proposed outlier robust modelbased small area methods assume, however, uncorrelated random effects. Spatial dependencies, resulting from similar industry domains or geographic regions, often occur. In this paper we propose outlier robust small area methodology that allows for the presence of spatial correlation in the data. In particular, we present a robust predictive methodology that incorporates the potential spatial impact from other areas (domains) on the small area (domain) of interest. We further propose two parametric bootstrap methods for estimating the mean-squared error. Simulations indicate that the proposed methodology may lead to efficiency gains. The paper concludes with an illustrative application by using business data for estimating average labour costs in Italian provinces.

Language
Englisch

Bibliographic citation
Series: Diskussionsbeiträge ; No. 2015/8

Classification
Wirtschaft
Subject
bias correction
projective and predictive estimators
spatial correlation
business surveys

Event
Geistige Schöpfung
(who)
Schmid, Timo
Tzavidis, Nikos
Münnich, Ralf
Chambers, Ray
Event
Veröffentlichung
(who)
Freie Universität Berlin, Fachbereich Wirtschaftswissenschaft
(where)
Berlin
(when)
2015

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Schmid, Timo
  • Tzavidis, Nikos
  • Münnich, Ralf
  • Chambers, Ray
  • Freie Universität Berlin, Fachbereich Wirtschaftswissenschaft

Time of origin

  • 2015

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