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HILBERT SPACE OF PROBABILITY DENSITY FUNCTIONS BASED ON AITCHISON GEOMETRY
Bayes' theorem Fourier coefficients Haar basis Aitchison distance Simplex Least squares approximation
2007/12/12
The set of probability functions is a convex subset of $L^1$ and it does not have a linear space structure when using ordinary sum and multiplication by real constants. Moreover, difficulties arise wh...