Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beta and Kumaraswamy distributions as non-nested hypotheses in the
  modeling of continuous bounded data   Nowadays, beta and Kumaraswamy distributions are the most popular models to
fit continuous bounded data. These models present some characteristics in
common and to select one of them in a practical situation can be of great
interest. With this in mind, in this paper we propose a method of selection
between the beta and Kumaraswamy distributions. We use the logarithm of the
likelihood ratio statistic (denoted by $T_n$, where $n$ is the sample size) and
obtain its asymptotic distribution under the hypotheses $H_{\mathcal B}$ and
$H_{\mathcal K}$, where $H_{\mathcal B}$ ($H_{\mathcal K}$) denotes that the
data come from the beta (Kumaraswamy) distribution. Since both models has the
same number of parameters, based on the Akaike criterion, we choose the model
that has the greater log-likelihood value. We here propose to use the
probability of correct selection (given by $P(T_n>0)$ or $P(T_n<0)$ depending
on the null hypothesis) instead of only to observe the maximized log-likelihood
values. We obtain an approximation for the probability of correct selection
under the hypotheses $H_{\mathcal B}$ and $H_{\mathcal K}$ and select the model
that maximizes it. A simulation study is presented in order to evaluate the
accuracy of the approximated probabilities of correct selection. We illustrate
our method of selection in two applications to real data sets involving
proportions.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con