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Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices

Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices

Summary This article gives a formal definition of a lognormal family of probability distributions on the set of symmetric positive definite (SPD) matrices, seen as a matrix‐variate extension of the univariate lognormal family of distributions. Two forms of this distribution are obtained as the large sample limiting distribution via the …