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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 3, Issue 2, 2012 pp 50-54

Research Article

Determination of Expected Time to Seroconversion When the Antigenic Diversity Threshold Follows Order Statistic

R.M.Palanivel, P.Pandiyan and R.Sathiyamoorthi Department of Statistics, Annamalai University, Annamalai Nagar – 608 002 (TN) INDIA.

Academic Editor:  Dr. Dase R.K.

In the study of HIV infection and consequent AIDS, the antigenic diversity is an important causative factor. A person, who has sexual contacts with an infected person, acquires more and more of HIV. This accentuates the increase in antigenic diversity of the invading antigen. When the total contribution to antigenic diversity on successive occasions of sexual contact crosses a particular level called the antigenic diversity, the seroconversion occurs. In this paper, the expected time to seroconversion and its variance are obtained under the assumption that the antigenic diversity is a random variable distributed as the nth order statistic. Numerical illustrations have also been provided.