Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape constrained nonparametric estimators of the baseline distribution
  in Cox proportional hazards model   We investigate nonparametric estimation of a monotone baseline hazard and a
decreasing baseline density within the Cox model. Two estimators of a
nondecreasing baseline hazard function are proposed. We derive the
nonparametric maximum likelihood estimator and consider a Grenander type
estimator, defined as the left-hand slope of the greatest convex minorant of
the Breslow estimator. We demonstrate that the two estimators are strong
consistent and asymptotically equivalent and derive their common limit
distribution at a fixed point. Both estimators of a nonincreasing baseline
hazard and their asymptotic properties are acquired in a similar manner.
Furthermore, we introduce a Grenander type estimator for a nonincreasing
baseline density, defined as the left-hand slope of the least concave majorant
of an estimator of the baseline cumulative distribution function, derived from
the Breslow estimator. We show that this estimator is strong consistent and
derive its asymptotic distribution at a fixed point.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs