title: Uncertainty of AIDS incubation time and its effects on back-calculation estimates.
abstract: Incubation time is the period from the onset of HIV infection to AIDS. The distribution of the incubation time is one of the main parameters of the back-calculation method for the estimation of incidence of HIV infection. Because of the long and variable incubation time, the assessment of its distribution is uncertain and this uncertainty spreads through the back-calculation method and affects the estimation of the precision of incidence of HIV infection. We propose a method to investigate the sensitivity of the estimates to variations of the incubation times, with particular regard to the covariate AGE in the modelling of the incubation period, making use of the parametric bootstrap. An application to the HIV epidemic in Italy is presented. The amplification of the uncertainty of the HIV incidence estimates resulting from the implementation of our proposed method tends to concentrate around the earlier periods of the epidemic, corresponding to the right tail of the incubation time distribution, which is very sensitive to small perturbations.
authors.affiliation: Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, Viale del Policlinico 137, 00161 Roma, Italy. GIGLI@IAC.RM.CNR.IT
authors.forename: A
authors.initials: A
authors.lastname: Gigli
authors.forename: A
authors.initials: A
authors.lastname: Verdecchia
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000453:epidemiology* / Q000635:transmission; D000328:Adult; D000367:Age Factors; D015331:Cohort Studies; D003627:Data Interpretation, Statistical; D005260:Female; D015658:HIV Infections / Q000453:epidemiology* / Q000635:transmission; D006801:Humans; D007558:Italy / Q000453:epidemiology; D016013:Likelihood Functions; D008297:Male; D008875:Middle Aged; D015233:Models, Statistical; D012307:Risk Factors; D015819:Substance Abuse, Intravenous / Q000150:complications