Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotonized smooth estimators of a monotone baseline hazard in the Cox
  model   We consider two isotonic smooth estimators for a monotone baseline hazard in
the Cox model, a maximum smooth likelihood estimator and a Grenander-type
estimator based on the smoothed Breslow estimator for the cumulative baseline
hazard. We show that they are both asymptotically normal at rate
$n^{m/(2m+1)}$, where $m\geq 2$ denotes the level of smoothness considered, and
we relate their limit behavior to kernel smoothed isotonic estimators studied
in Lopuha\"a and Musta (2016). It turns out that the Grenander-type estimator
is asymptotically equivalent to the kernel smoothed isotonic estimators, while
the maximum smoothed likelihood estimator exhibits the same asymptotic variance
but a different bias. Finally, we present numerical results on pointwise
confidence intervals that illustrate the comparable behavior of the two
methods.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn