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math.ST2022★ 3 cited
On the Tightness of the Laplace Approximation for Statistical Inference
Blair Bilodeau, Yanbo Tang, Alex Stringer
Laplace's method is used to approximate intractable integrals in a statistical problems. The relative error rate of the approximation is not worse than . We provide th…
stat.ME2022
A Note on Monte Carlo Integration in High Dimensions
Yanbo Tang
Monte Carlo integration is a commonly used technique to compute intractable integrals and is typically thought to perform poorly for very high-dimensional integrals. To show that t…
stat.ME2022
Asymptotic Behaviour of the Modified Likelihood Root
Yanbo Tang, Nancy Reid
We examine the normal approximation of the modified likelihood root, an inferential tool from higher-order asymptotic theory, for the linear exponential and location-scale family.…