31,228 research outputs found
Asymptotic properties of a goodness-of-fit test based on maximum correlations
We study the efficiency properties of the goodness-of-fit test based on the Qn statistic
introduced in Fortiana and Grané (2003) using the concepts of Bahadur asymptotic relative
efficiency and Bahadur asymptotic optimality. We compare the test based on this statistic with
those based on the Kolmogorov-Smirnov, the Cramér-von Mises and the Anderson-Darling
statistics. We also describe the distribution families for which the test based on Qn is
asymptotically optimal in the Bahadur sense and, as an application, we use this test to detect the
presence of hidden periodicities in a stationary time series
Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)
We consider manifolds of oriented flags SO(n)/SO(2)xSO(n-3) (n>=4) as 4- and
6-symmetric spaces and indicate characteristic conditions for invariant
Riemannian metrics under which the canonical f-structures on these homogeneous
-spaces belong to the classes Kill f, NKf and G_1f of generalized
Hermitian geometry.Comment: 15 page
- …