A Stochastic Model with Antigenic Diversity Threshold Time Using Erlang Truncated Exponential Distribution using Order Statistics

R. Kannan¹ , G. Parthasarathi²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.26-33, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.2633

Online published on Apr 30, 2019

Copyright © R. Kannan, G. Parthasarathi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This study is based on a stochastic model for predicting the seroconversion time of HIV infected using the inter-contact time between successive contacts forms an order statistics. The contribution to antigenic diversity due to sexual contacts on successive occasions is important factor in this paper it is assumed that the threshold following Erlang truncated exponential distribution and inter-arrival times which forms a smallest order statistics. The expected time to seroconversion and variance are derived and numerical illustration is also given using simulated data.

Key-Words / Index Term :
Acquired Immune Deficiency Syndrome, Human Immunodeficiency Virus, Seroconversion, Antigenic diversity threshold, Smallest Order statistics

References :
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