Work

On parameter estimation for N(μ,σ2I3) based on projected data into S2

Year: 2025

Type: article

Abstract: The projected normal distribution, with isotropic variance, on the 2-sphere is considered using intrinsic statistics. It is shown that in this case, the expectation commutes with the projection, and that the covariance of the normal variable has a 1-1 correspondence with the intrinsic covariance of the projected normal distribution. This allows us to estimate, after the model identification, the parameters of the underlying normal distribution that generates the data.

Source: Modern Stochastics Theory and Applications

DOI: 10.15559/25-vmsta279

Authors: Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari

Institutions: Uppsala University, Aalto University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411388027

FWCI: 0.836

Cites: 20

Cited by: 1

Related to: 10