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Best possible triangle inequalities for statistical metric spaces

Best possible triangle inequalities for statistical metric spaces

1. A statistical metric space2 (briefly, an SM space) is a set S and a mapping 5Y from SXS into the set of distribution functions (i.e., real-valued functions of a real variable which are everywhere defined, nondecreasing, left-continuous and have inf 0 and sup 1). The distribution function 5:(p, q) …