Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Valid confidence intervals for $\mu , \sigma $ when there is only one
  observation available   Portnoy (2019) considered the problem of constructing an optimal confidence
interval for the mean based on a single observation $\, X \sim {\cal{N}}(\mu ,
\, \sigma^2) \,$. Here we extend this result to obtaining 1-sample confidence
intervals for $\, \sigma \,$ and to cases of symmetric unimodal distributions
and of distributions with compact support. Finally, we extend the multivariate
result in Portnoy (2019) to allow a sample of size $\, m \,$ from a
multivariate normal distribution where $m$ may be less than the dimension.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an