ASYMPTOTIC TESTS FOR MEAN LOCATION ON MAN IFOLDS

Authors
HENDRIKS H LANDSMAN Z
Citation
H. Hendriks et Z. Landsman, ASYMPTOTIC TESTS FOR MEAN LOCATION ON MAN IFOLDS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(8), 1996, pp. 773-778
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
8
Year of publication
1996
Pages
773 - 778
Database
ISI
SICI code
0764-4442(1996)322:8<773:ATFMLO>2.0.ZU;2-G
Abstract
Using the results in our previous investigation [6] we construct tests for hypotheses about the mean location of a probability distribution on a compact submanifold of Euclidean space. We will consider the situ ations where population covariance matrix is supposed to be either kno wn or unknown. We study the asymptotic distribution of the testing sta tistic. We also indicate confidence regions for the mean location.