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R. Kannan1 , G. Parthasarathi2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.4 , pp.140-149, Aug-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i4.140149
Online published on Aug 31, 2018
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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IEEE Style Citation: R. Kannan, G. Parthasarathi, “A Stochastic Model for Estimating the Statistical Measures for Time to Cross the Antigenic Diversity Threshold of HIV Infected Under Correlated Inter-Contact Times using Erlang Truncated Exponential D,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.140-149, 2018.
MLA Style Citation: R. Kannan, G. Parthasarathi "A Stochastic Model for Estimating the Statistical Measures for Time to Cross the Antigenic Diversity Threshold of HIV Infected Under Correlated Inter-Contact Times using Erlang Truncated Exponential D." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 140-149.
APA Style Citation: R. Kannan, G. Parthasarathi, (2018). A Stochastic Model for Estimating the Statistical Measures for Time to Cross the Antigenic Diversity Threshold of HIV Infected Under Correlated Inter-Contact Times using Erlang Truncated Exponential D. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 140-149.
BibTex Style Citation:
@article{Kannan_2018,
author = {R. Kannan, G. Parthasarathi},
title = {A Stochastic Model for Estimating the Statistical Measures for Time to Cross the Antigenic Diversity Threshold of HIV Infected Under Correlated Inter-Contact Times using Erlang Truncated Exponential D},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {140-149},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=721},
doi = {https://doi.org/10.26438/ijcse/v5i4.140149}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.140149}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=721
TI - A Stochastic Model for Estimating the Statistical Measures for Time to Cross the Antigenic Diversity Threshold of HIV Infected Under Correlated Inter-Contact Times using Erlang Truncated Exponential D
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Kannan, G. Parthasarathi
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 140-149
IS - 4
VL - 5
SN - 2347-2693
ER -
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Abstract :
This study is based on stochastic model for estimating the seroconversion time of HIV transmission under correlated inter- contact times. In the estimation of expected time to seroconversion, there is an important role for the inter-arrival times between successive contacts and has a significant influence. In this paper, it is assumed that the inter contact times between successive contacts are correlated random variables and the threshold distribution as Erlang truncated exponential distribution. In developing this model the result of Gurland (1995) has been used. The mean time to seroconversion and its variance are derived and the numerical illustrations are provided.
Key-Words / Index Term :
Human Immune deficiency virus, Acquired Immune Deficiency Syndrome, Intercontact times, Seroconversion, Antigenic Diversity threshold
References :
[1] Esary, J.D.,A. W. Marshall and F. Proschan (1973). Shock model and wear processes.Ann. Probability,1(4), 627-649.
[2] Gurland, J. (1955). Distribution of maximum of the arithmetic mean of correlation random vriables. Ann. Mathematical Statistics, 26,294-300.
[3] Kannan,R.,Vanimalini.R and RSathiyamoorthi (2012). A Stochastic Model With Antigenic Diversity Threshold Of Hiv Transmission Under Correlated Intercontact Times
[4] Kannan, R.,Parthasarathi.G (2017). A stochastic model for the estimation of time to seroconversion of HIV transmission using Erlang Truncated Exponentail distribution. International Journal of Statistics and Applied Mathematics , 2(6), 211-215.
[5] Kannan,R and R. Sathiyamoorthy(2006). Stochastic Model for time to seroconversion of HIV transmission under correlated intercontact times, Annamalai University Science Journal, Vol.143,1-12.
[6] Nowak, M.A. and R.M. May (1991). Mathematical biology of HIV infection antigenic variation and diversity threshold. Mathematical Biosciences, 106,1-21.
[7] Sathiyamoorthi, R. (1979). Cumulative Damage Model with correlated Interarrival Times of Shocks IEEE. Transactions on Reliability, R 25, No.23.
[8] Stilianakis, N.D. Schenzle and K.Dietz (1994). On the antigenic diversity threshold model for AIDS. Mathematical Biosciences, 121, 235-247.
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