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Abstract
Enumerating procedure for symbol sequences is proposed. Relationship between Hamming distance for symbol sequences and Euclidean distance for corresponding enumerations is established, and more universal Hamming-transformed Euclidean measure is constructed. A distribution function of amino acid substitutions and some of its point estimators (consensus, subconsensus, sample mean, sample central moments and asymmetry coefficient) are introduced. Hamming-transformed Euclidean measures between consensuses, subconsensuses and sample means for ten HIV-1 taxons of gp120 V3 regions are calculated. It is demonstrated that these taxons have a complicated pattern which is significant for their classification.
