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Modified-likelihood estimation of the β-model

Abstract : We consider point estimation and inference based on modifications of the profile likelihood in models for dyadic interactions between agents featuring n agent-specific parameters. This setup covers the b-model of network formation and generalizations thereof. The maximum-likelihood estimator of such models has bias and standard deviation of O(n−1) and so is asymptotically biased. Estimation based on modified likelihoods leads to estimators that are asymptotically unbiased and likelihood-ratio tests that exhibit correct size. We apply the modifications to versions of the b-model for network formation and of the Bradley-Terry model for paired comparisons.
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Preprints, Working Papers, ...
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Submitted on : Thursday, October 21, 2021 - 9:46:44 PM
Last modification on : Monday, March 21, 2022 - 2:47:48 PM
Long-term archiving on: : Saturday, January 22, 2022 - 9:23:57 PM


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Koen Jochmans. Modified-likelihood estimation of the β-model. 2016. ⟨hal-03393203⟩



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