On parameter estimation for based on projected data into
Pub. online: 17 June 2025
Type: Research Article
Open Access
Open Access
Received
6 November 2024
6 November 2024
Revised
12 March 2025
12 March 2025
Accepted
16 May 2025
16 May 2025
Published
17 June 2025
17 June 2025
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.
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