Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projected likelihood contrasts for testing homogeneity in finite mixture
  models with nuisance parameters   This paper develops a test for homogeneity in finite mixture models where the
mixing proportions are known a priori (taken to be 0.5) and a common nuisance
parameter is present. Statistical tests based on the notion of Projected
Likelihood Contrasts (PLC) are considered. The PLC is a slight modification of
the usual likelihood ratio statistic or the Wilk's $\Lambda$ and is similar in
spirit to the Rao's score test. Theoretical investigations have been carried
out to understand the large sample statistical properties of these tests.
Simulation studies have been carried out to understand the behavior of the null
distribution of the PLC statistic in the case of Gaussian mixtures with unknown
means (common variance as nuisance parameter) and unknown variances (common
mean as nuisance parameter). The results are in conformity with the theoretical
results obtained. Power functions of these tests have been evaluated based on
simulations from Gaussian mixtures.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph