Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact expressions for the weights used in least-squares regression
  estimation for the log-logistic and Weibull distribution   Estimation for the log-logistic and Weibull distributions can be performed by
using the equations used for probability plotting. The equations leads to
highly heteroscedastic regression. Exact expressions for the variances of the
residuals are derived which can be used to perform weighted regression. In
large samples maximum likelihood performs best, but it is shown that in smaller
samples the weighted regression outperforms maximum likelihood estimation with
respect to bias and mean square error.

11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex