A stochastic point process model of the incubation period of a HIV infected individual

dc.contributor.authorYadavalli, Venkata S. Sarma
dc.contributor.authorLabeodan, Moremi Morire OreOluwapo
dc.contributor.authorUdayabaskaran, Swaminathan
dc.date.accessioned2011-10-14T06:23:16Z
dc.date.available2011-10-14T06:23:16Z
dc.date.issued2011
dc.description.abstractThe inability to get people to regularly test and know their HIV status has caused the widespread unavailability of correct and comprehensive data on HIV infection especially the time at which an individual was first infected. Hence, mathematical scientists have relied extensively on inference obtained from small samples to estimate the HIV incubation and seroconversion times. We set out to obtain in this paper, (i) the distribution functions of the HIV incubation period and seroconversion time by considering the stochastic behaviours of the members of the population under discussion, and (ii) the method of estimation that gives the best parameter estimate by building on previous work of Lui et al. (1988) and Medley et al. (1988). We obtained a one-parameter family distribution for the incubation period and a two-parameter family distribution for the seroconversion time. Data on homosexual individuals were used since we built on past work of Lui et al. (1988). Also AIDS incidence projection was done using the backcalculation method. However, the shortfall of the back-calculation method was not addressed in this paper as this is meant for further research.en
dc.description.sponsorshipThanks to NRF for funding this project.en_US
dc.description.urihttp://www.sastat.org.za/journal.htmen_US
dc.identifier.citationYadavalli, VSS, Labeodan, MMOO & Udayabaskaran, S 2011, 'A stochastic point process model of the incubation period of a HIV infected individual,' South African Statistical Journal, vol. 45, no. 2, pp. 293-314.en
dc.identifier.issn0038-271X
dc.identifier.urihttp://hdl.handle.net/2263/17447
dc.language.isoenen_US
dc.publisherSouth African Statistical Associationen_US
dc.rightsSouth African Statistical Associationen
dc.subjectDistribution functionsen
dc.subjectSeroconversion timeen
dc.subjectIncubation perioden
dc.subject.lcshDistribution (Probability theory)en
dc.subject.lcshStochastic modelsen
dc.subject.lcshHIV infectionsen
dc.subject.lcshHIV-positive personsen
dc.subject.lcshAIDS (Disease)en
dc.titleA stochastic point process model of the incubation period of a HIV infected individualen
dc.typeArticleen

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