Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A method to deconvolve stellar rotational velocities II   Knowing the distribution of stellar rotational velocities is essential for
the understanding stellar evolution. Because we measure the projected
rotational speed vsini, we need to solve an ill-posed problem given by a
Fredholm integral of the first kind to recover the true rotational velocity
distribution. After discretization of the Fredholm integral, we apply the
Tikhonov regularization method to obtain directly the probability distribution
function for stellar rotational velocities. We propose a simple and
straightforward procedure to determine the Tikhonov parameter. We applied Monte
Carlo simulations to prove that Tikhonov method is a consistent estimator and
asymptotically unbiased. This method is applied to a sample of cluster stars.
We obtain confidences intervals using bootstrap method. Our results are in good
agreement with the one obtained using the Lucy method, in recovering the
probability density distribution of rotational velocities. Furthermore, Lucy
estimation lies inside our confidence interval. Tikhonov regularization is a
very robust method that deconvolve the rotational velocity probability density
function from a sample of vsini data straightforward without needing any
convergence criteria.

23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph