A stochastic model with antigenic diversity threshold of hiv transmission using order statistics

Ramachandran Kannan, A. Thirumurugan, R. Sathiyamoorthi, G. Malarvizhi · Bio Science Research Bulletin · 2010

This paper focuses on the study of a stochastic model for predicting the seroconversion time of HIV transmission using order statistics. In the estimation of expected time to seroconversion, there is an important role for the inter-arrival times between successive contacts and it has a significant influence. In this paper, it is assumed that the inter-arrival times between the contacts distributed as the smallest order statistics. The mean time to seroconversion and its variance are derived and numerical illustration is provided.

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