Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accurate inference for a one parameter distribution based on the mean of
  a transformed sample   A great deal of inference in statistics is based on making the approximation
that a statistic is normally distributed. The error in doing so is generally
$O(n^{-1/2})$ and can be very considerable when the distribution is heavily
biased or skew. This note shows how one may reduce this error to
$O(n^{-(j+1)/2})$, where $j$ is a given integer. The case considered is when
the statistic is the mean of the sample values from a continuous one-parameter
distribution, after the sample has undergone an initial transformation.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con