Spherical regression with errors in variables (Q1118940)

Suppose \(u_ 1,...,u_ n\), \(v_ 1,...,v_ n\) are random points on the sphere such that for unknown points \(\xi_ 1,...,\xi_ n\) and unknown rotation \(A_ 0\), the distribution of \(u_ i\) depends only on \(u^ t_ i\xi_ i\) and that of \(v_ i\) on \(v^ t_ iA_ 0\xi_ i\). This paper provides asymptotic tests and confidence regions for \(A_ 0\) and for its axis of rotation. Results are given in arbitrary dimension.