Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit Form of Coefficients in any MA(2) Process   We shall show that for {\it any} $MA(2)$ process (apart from those with
coefficients $\theta_1,\theta_2 $ lying on certain line-segments) there is {\it
one and only one invertible} $MA(2)$ process with the {\it same}
autocovariances $\gamma_0,\gamma_1,\gamma_2$. It is this invertible version
which computer-packages fit, regardless, even if data came from a
non-invertible $MA(2)$ process. This has consequences for prediction from a
fitted process, inasmuch as such prediction would seem to be inappropriate. We
express the coefficients $\theta_1,\theta_2 $ of the invertible version in
terms of $\gamma_0,\gamma_1,\gamma_2$ explicitly using analytical reasoning,
following a graphical approach of Sbrana (2012) which indicates this result
within the invertibility region. We also express $(\theta_1,\theta_2)$ in the
non-invertibility region.

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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: cs