Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inference for a constrained parameter in presence of an uncertain
  constraint   We describe a hierarchical Bayesian approach for inference about a parameter
$\theta$ lower-bounded by $\alpha$ with uncertain $\alpha$, derive some basic
identities for posterior analysis about $(\theta,\alpha)$, and provide
illustrations for normal and Poisson models. For the normal case with unknown
mean $\theta$ and known variance $\sigma^2$, we obtain Bayes estimators of
$\theta$ that take values on $\mathbb{R}$, but that are equally adapted to a
lower-bound constraint in being minimax under squared error loss for the
constrained problem.

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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: econ