Pitfalls of estimating the marginal likelihood using the modified harmonic mean
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Chan, Joshua C. C.
Grant, Angelia L.
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Crawford School of Public Policy, The Australian National University
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The modified harmonic mean is widely used for estimating the marginal likelihood. We investigate the empirical performance of two versions of this estimator: one based on the observed-data likelihood and the other on the complete-data likelihood. Through an empirical example using US and UK inflation, we show that the version based on the complete-data likelihood has a substantial finite sample bias and tends to select the wrong model, whereas the version based on the observed-data likelihood works well.
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Centre for Applied Macroeconomic Analysis Working Papers
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