Two-point priors and minimax estimation of a bounded parameter under convex loss

Volume 32 / 2005

Agata Boratyńska Applicationes Mathematicae 32 (2005), 145-153 MSC: Primary 62C10, 62C20; Secondary 62F15. DOI: 10.4064/am32-2-3


The problem of minimax estimation of a parameter ${\theta }$ when ${\theta }$ is restricted to a finite interval $[{\theta }_0,{\theta }_0+m]$ is studied. The case of a convex loss function is considered. Sufficient conditions for existence of a minimax estimator which is a Bayes estimator with respect to a prior concentrated in two points ${\theta }_0$ and ${\theta }_0+m$ are obtained. An example is presented.


  • Agata BoratyńskaInstitute of Econometrics
    Warsaw School of Economics
    Al. Niepodleg/lości 162
    02-554 Warszawa, Poland

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