Abstract
A maximum a posteriori estimator is presented for estimating the parameters of a lognormal random field defined on the unit circle S 1. The measurement data are star-like curves, sample functions that are insufficiently known as equivalent classes of plane curves, where a curve is determined except translations and rotations in R 2 . The estimation problem is also considered in the case of a lognormal random field defined on the unit sphere S 2, where the measurements are sample function surfaces, determined except translations and rotations in R 3 .
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