Suppose u₁, ⋯, uₙ, v₁, ⋯, vₙ are random points on the sphere such that for unknown points ξ₁, ⋯, ξₙ and unknown rotation A₀, the distribution of uᵢ depends only on uᵗᵢξᵢ and that of vᵢ on vᵗᵢA₀ξᵢ. This paper provides asymptotic tests and confidence regions for A₀ and for its axis of rotation. Results are given in arbitrary dimension.
No takes yet. Share an insight, caveat, or question.
Ted Chang (1989) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: