Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic orders and measures of skewness and dispersion based on
  expectiles   Recently, expectile-based measures of skewness akin to well-known
quantile-based skewness measures have been introduced, and it has been shown
that these measures possess quite promising properties (Eberl and Klar, 2021,
2020). However, it remained unanswered whether they preserve the convex
transformation order of van Zwet, which is sometimes seen as a basic
requirement for a measure of skewness. It is one of the aims of the present
work to answer this question in the affirmative. These measures of skewness are
scaled using interexpectile distances. We introduce orders of variability based
on these quantities and show that the so-called weak expectile dispersive order
is equivalent to the dilation order. Further, we analyze the statistical
properties of empirical interexpectile ranges in some detail.

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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs