The serorevertion and the survival related to HIV infection among children: Statistical modeling applied to retrospective data collection

  • Authors:

  • Hyun Mo Yang;M. Della Negra; Yu Ching Lian;W. Queiroz;L. K. Hotta

  • Affiliations:

  • IMECC-Departamento de Matemá/tica Aplicada Universidade Estadual de Campinas Caixa Postal 6065/ CEP: 13081-970/ Campinas, S.P., Brazil;Instituto de Infectologia Emí/lio Ribas Av. Dr. Arnaldo, 165/ CEP: 01246-900/ Sao Paulo, S.P., Brazil;Instituto de Infectologia Emí/lio Ribas Av. Dr. Arnaldo, 165/ CEP: 01246-900/ Sao Paulo, S.P., Brazil;Instituto de Infectologia Emí/lio Ribas Av. Dr. Arnaldo, 165/ CEP: 01246-900/ Sao Paulo, S.P., Brazil;IMECC-Departamento de Estatí/stica Universidade Estadual de Campinas Caixa Postal 6065/ CEP: 13081-970/ Campinas, S.P., Brazil

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2003

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Abstract

We are interested in describing the biological phenomenon of the time of serorevertion or death due to AIDS. By the serorevertion, we mean the cleansing of maternally derived antibodies against HIV by seropositive children without HIV infection, and the survival is related to how long HIV infected children survive. In order to perform a posteriori descriptions of retrospective data related to babies from HIV infected mothers, we develop a simple statistical methodology. The resulting statistical model is a function of two parameters named half-age and phenomenon-gauge. The model's parameters are fitted to the collection of seropositive children's data by the maximum likelihood estimation method. We compare this parametric estimation with nonparametric Kaplan-Meier estimation with respect to the half-age.