Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On choosing and bounding probability metrics   When studying convergence of measures, an important issue is the choice of
probability metric. In this review, we provide a summary and some new results
concerning bounds among ten important probability metrics/distances that are
used by statisticians and probabilists. We focus on these metrics because they
are either well-known, commonly used, or admit practical bounding techniques.
We summarize these relationships in a handy reference diagram, and also give
examples to show how rates of convergence can depend on the metric chosen.

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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th