1Department of Mathematics, Eswari Engineering College, Ramapuram, Chennai-89, Tamilnadu, India
Department of Statistics, Annamalai University, Annamalainagar-608 002
*E-mail: statkannan@yahoo.co.in
**E-mail: thirustat@gmail.com.
Online published on 26 February, 2013.
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.
Acquired Immuno Deficiency Syndrome, Antigenic Diversity, Threshold, Cumulative Damage Process, Human Immuno Deficiency Virus, Infectivity, Seroconversion
