Stochastic properties of one-parameter discrete model of genetic diversityin the unique random parameter case

Stochastic properties of previously introduced one parameter discrete model of genetic diversity (M. Yu. Shchelkanov et al, J. Biomol. Struct. Dyn. 15 , 887-894 (1998)) are investigated. Two approaches are compared: (A) when t he on-step substitution number and/or the number of substitution steps are random variables; (B) referred parameters are replaced by mathematical expe ctations of the respective variables. It has been demonstrated, that estima tions of sequence measure based on the number of replication steps are more under the assumption of case (A) as compared with (B). Thus, real biologic al situation relating to the case (A) could additionally promote the increa sing of distinctions between different taxons (e.g. HIV, etc.). Peculiariti es of one-parameter discrete model of genetic diversity during calculation of the distinctions between symbol (e.g. nucleotide) sequence sets are also discussed.