Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimizing the CDF Path Length: A Novel Perspective on Uniformity and
  Uncertainty of Bounded Distributions   An index of uniformity is developed as an alternative to the maximum-entropy
principle for selecting continuous, differentiable probability distributions
$\mathcal{P}$ subject to constraints $C$. The uniformity index developed in
this paper is motivated by the observation that among all differentiable
probability distributions defined on a finite interval $[a,b] \in \mathbb{R}$,
it is the uniform probability distribution that minimizes the path length of
the associated cumulative distribution function $F_{\mathcal{P}}$ on $[a,b]$.
This intuition is extended to situations where there are constraints on the
allowable probability distributions. In particular, constraints on the first
and second raw moments of a distribution are discussed in detail, including the
analytical form of the solutions and numerical studies of particular examples.
The resulting "shortest path" distributions are found to be decidedly more
heavy-tailed than the associated maximum-entropy distributions, suggesting that
entropy and "CDF path length" measure two different aspects of uncertainty for
bounded distributions.

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The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc