Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A half-normal distribution scheme for generating functions   We present a general theorem on the structure of bivariate generating
functions which gives sufficient conditions such that the limiting probability
distribution is a half-normal distribution. If $X$ is a normally distributed
random variable with zero mean, then $|X|$ obeys a half-normal distribution. In
the second part, we apply our result to prove three natural appearances in the
domain of lattice paths: the number of returns to zero, the height, and the
sign changes are under zero drift distributed according to a half-normal
distribution. This extends known results to a general step set. Finally, our
result also gives a new proof of Banach's matchbox problem.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc