Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate quantiles and multivariate L-moments   Univariate L-moments are expressed as projections of the quantile function
onto an orthogonal basis of polynomials in $L_2([0;1],\mathbb{R})$. We present
multivariate versions of L-moments expressed as collections of orthogonal
projections of a multivariate quantile function on a basis of multivariate
polynomials in $L_2([0;1]^d,\mathbb{R})$. We propose to consider quantile
functions defined as transport from the uniform distribution on $[0;1]^d$ onto
the distribution of interest. In particular, we present the quantiles defined
by the transport of Rosenblatt and the optimal transport and the properties of
the subsequent L-moments.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex