Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic normality of total least squares estimator in a multivariate
  errors-in-variables model $AX=B$   We consider a multivariate functional measurement error model $AX\approx B$.
The errors in $[A,B]$ are uncorrelated, row-wise independent, and have equal
(unknown) variances. We study the total least squares estimator of $X$, which,
in the case of normal errors, coincides with the maximum likelihood one. We
give conditions for asymptotic normality of the estimator when the number of
rows in $A$ is increasing. Under mild assumptions, the covariance structure of
the limit Gaussian random matrix is nonsingular. For normal errors, the results
can be used to construct an asymptotic confidence interval for a linear
functional of $X$.

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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
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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: eess
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The categories of this paper are: nucl-ex