Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On upper bounds on expectations of gOSs based on DFR and DFRA
  distributions   We focus on the problem of establishing the optimal upper bounds on
generalized order statistics which are based on the underlying cdf belonging to
the family of distributions with decreasing failure rate and decreasing failure
rate on the average. This issue has been previously considered by Bieniek
[Projection bounds on expectations of generalized order statistics from DFR and
DFRA families, Statistics, 2006; 40: 339--351], who established upper
nonnegative mean-variance bounds with use of the projections of the
compositions of density functions of the uniform generalized order statistic
and the exponential distribution function onto the properly chosen convex
cones. In this paper we obtain possibly negative upper bounds, by improving the
zero bounds obtained by Bieniek for some particular cases of gOSs. We express
the bounds in the scale units generated by the central absolute moments of
arbitrary orders. We also describe the attainability conditions.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: comp-gas