Indirect inference and small sample bias — Some recent results

Meenagh, David ORCID: https://orcid.org/0000-0002-9930-7947, Minford, Anthony ORCID: https://orcid.org/0000-0003-2499-935X and Xu, Yongdeng ORCID: https://orcid.org/0000-0001-8275-1585 2024. Indirect inference and small sample bias — Some recent results. Open Economies Review 35 , pp. 245-259. 10.1007/s11079-023-09731-8

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Abstract

Macroeconomic researchers use a variety of estimators to parameterise their models empirically. One such is FIML; another is indirect inference (II). One form of indirect inference is ‘informal’ whereby data features are ‘targeted’ by the model — i.e. parameters are chosen so that model-simulated features replicate the data features closely. Monte Carlo experiments show that in the small samples prevalent in macro data, both FIML informal II produce high bias, while formal II, in which the joint probability of the data- generated auxiliary model is maximised under the model simulated distribution, produces low bias. They also show that FII gets this low bias from its high power in rejecting misspecified models, which comes in turn from the fact that this distribution is restricted by the model-specified parameters, so sharply distinguishing it from rival misspecified models.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Professional Services > Advanced Research Computing @ Cardiff (ARCCA) Schools > Business (Including Economics)
Subjects:	H Social Sciences > HA Statistics H Social Sciences > HB Economic Theory
Publisher:	Springer
ISSN:	0923-7992
Date of First Compliant Deposit:	29 September 2023
Date of Acceptance:	31 July 2023
Last Modified:	28 Feb 2025 17:02
URI:	https://orca.cardiff.ac.uk/id/eprint/162171

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