Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing Exponentiality Based on R\'enyi Entropy With Progressively
  Type-II Censored Data   We express the joint R\'enyi entropy of progressively censored order
statistics in terms of an incomplete integral of the hazard function, and
provide a simple estimate of the joint R\'enyi entropy of progressively Type-II
censored data. Then we establish a goodness of fit test statistic based on the
R\'enyi Kullback-Leibler information with the progressively Type-II censored
data, and compare its performance with the leading test statistic. A Monte
Carlo simulation study shows that the proposed test statistic shows better
powers than the leading test statistic against the alternatives with monotone
increasing, monotone decreasing and nonmonotone hazard functions.

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The categories of this paper are: math
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
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The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom