Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Some Asymptotic Properties and an Almost Sure Approximation of the
  Normalized Inverse-Gaussian Process   In this paper, we present some asymptotic properties of the normalized
inverse-Gaussian process. In particular, when the concentration parameter is
large, we establish an analogue of the empirical functional central limit
theorem, the strong law of large numbers and the Glivenko-Cantelli theorem for
the normalized inverse-Gaussian process and its corresponding quantile process.
We also derive a finite sum-representation that converges almost surely to the
Ferguson and Klass representation of the normalized inverse-Gaussian process.
This almost sure approximation can be used to simulate efficiently the
normalized inverse-Gaussian process.

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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph