Sankhya: The Indian Journal of Statistics

2003, Volume 65, Pt. 2, 464-481

Consistency Of Dykstra-Laud Priors


L. DR\u{A}GHICI, University of Miami, USA and R.V. RAMAMOORTHI, Michigan State University, USA

SUMMARY: We consider priors on increasing hazard rates induced by processes with independent increments and increasing sample paths. These generalize a construction of the Dykstra-Laud prior. We establish the $L^1$-support and then describe a class of distributions for which weak and $L^1$ consistency of the posterior hold.

AMS (1991) subject classification. 62G20, 62G99.

Key words and phrases. Posterior consistency, hazard rate.

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