Department of Statistics, Annamalai University, Annamalainagar – 608 002, Tamilnadu (INDIA)
Email: statkannan@yahoo.co.in, kavithasekarphd@gmail.com

The use of stochastic model in the study of HIV infection, the estimation of the likely time at which the seroconversion takes place is an important aspect. An individual takes some precautionary measures with due to avoid the HIV getting transmitted and this called alertness. The use of preventive strategy gives rise to the concept of alertness on the part of individual who has sexual contact with unknown partner. In this paper the stochastic model for the estimation of time to cross the antigenic diversity threshold and variance are derived under the assumption that the threshold level of antigenic diversity is a random variable which follows a Exponentiated Exponential Distribution. The expression for E(T) and variance are derived and Numerical Illustrations are provided.