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Forskningsartikel2008

On Bayesian consistency

Xing Yang, Ranneby Bo

Sammanfattning

We establish a sufficient condition ensuring strong Hellinger consistency of posterior distributions. We also prove a strong Hellinger consistency theorem for the pseudoposterior distributions based on the likelihood ratio with power 0 < alpha < 1, which are introduced by Walker and Hjort (2001). Our result is an extension of their theorem for alpha = 1/2

Nyckelord

Hellinger consistency; posterior distribution; nonparametric model

Publicerad i

Research report (Centre of Biostochastics)
2008, nummer: 9, sidor: 1-14
Utgivare: Centre of Biostochastics, SLU