Goodness-of-fit test in a multivariate errors-in-variables model AX=B

Autor: Alexander Kukush, Yaroslav Tsaregorodtsev
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Modern Stochastics: Theory and Applications, Vol 3, Iss 4, Pp 287-302 (2016)
Druh dokumentu: article
ISSN: 2351-6046
2351-6054
DOI: 10.15559/16-VMSTA67
Popis: We consider a multivariable functional errors-in-variables model $AX\approx B$, where the data matrices A and B are observed with errors, and a matrix parameter X is to be estimated. A goodness-of-fit test is constructed based on the total least squares estimator. The proposed test is asymptotically chi-squared under null hypothesis. The power of the test under local alternatives is discussed.
Databáze: Directory of Open Access Journals