Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A method for calculating quantile function and its further use for data
  fitting   This paper introduces a polynomial transformation model based on Weibull
distribution, whereby the analytical representation of the quantile function
for many probability distributions can be obtained. Firstly, the target random
variable $x$ with specified distribution is expressed as a polynomial of a
Weibull random variable $z$, the coefficients are conveniently determined by
the percentile matching method. Then, substituting $z$ with its quantile
function $z=\lambda [-ln(1-u)]^{1/k}$ gives the analytical expression of the
quantile function of $x$. Furthermore, using the probability weighted moments
matching method, this polynomial transformation model can be used for data
fitting. Through numerical experiment, it makes evident that the proposed model
is capable of handling some distributions close to binomial which are difficult
for the extant approaches, and the quantile functions of various distributions
are accurately approximated within the probit range $[10^{-4},1-10^{-4}]$.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg