• A STOCHASTIC APPROACH TO DETERMINE THE STATISTICAL MEASURE FOR TIME TO SEROCONVERSION OF HIV INFECTED USING LARGEST ORDER STATISTICS

Abstract

This paper focuses on the study of a stochastic model for predicting the seroconversion time of HIV transmission using order statistics. The estimation of statistical measure for time to seroconversion of HIV infected over the time interval (0, t] is an important aspect which help medical intervention. We propose a stochastic model under the assumption that, the interval time between the contacts forms an order statistics and threshold follows exponential- geometric distribution. A Statistical measures for seroconversion are obtained by taking time intervals between successive contacts as the largest order statistics. In developing such a stochastic model, the concept of shock model and cumulative damage process are used. Numerical illustration provided for different combination of parameter involved in the distribution of the   random variable used in this model.