On parameter estimation for $N(\mu ,{\sigma }^2{I}_3)$ based on projected data into ${\mathbb{S}}^2$

Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari

We consider the projected normal distribution, with isotropic variance, on the 2-sphere using intrinsic statistics. We show that in this case, the expectation commutes with the pro…