Incubation-time distribution in back-calculation applied to HIV/AIDS data in India
-
1.
Centre for Ecological Sciences, Indian Institute of Science, Bangalore, 560 012.
-
2.
Institute of Health Science, Faculty of Medicine, Hiroshima University, Hiroshima, 734-8551
-
Received:
01 June 2004
Accepted:
29 June 2018
Published:
01 March 2005
-
-
MSC :
92A15,62A10.
-
-
In this article, HIV incidence density is estimated from prevalence
data and then used together with reported cases of AIDS to estimate incubation-time distribution. We used deconvolution technique and maximum likelihood
method to estimate parameters. The effect of truncation in hazard
was also examined. The mean and standard deviation obtained with the
Weibull assumption were 12.9 and 3.0 years, respectively. The estimation
seemed useful to investigate distribution of time between report of
HIV infection and that of AIDS development. If we assume truncation,
the optimum truncating point was sensitive to the HIV growth assumed.
This procedure was applied to US data for validating the results
obtained from the Indian data. The results show that method works
well.
Citation: Arni S.R. Srinivasa Rao, Masayuki Kakehashi. Incubation-time distribution in back-calculation applied to HIV/AIDS data in India[J]. Mathematical Biosciences and Engineering, 2005, 2(2): 263-277. doi: 10.3934/mbe.2005.2.263
-
Abstract
In this article, HIV incidence density is estimated from prevalence
data and then used together with reported cases of AIDS to estimate incubation-time distribution. We used deconvolution technique and maximum likelihood
method to estimate parameters. The effect of truncation in hazard
was also examined. The mean and standard deviation obtained with the
Weibull assumption were 12.9 and 3.0 years, respectively. The estimation
seemed useful to investigate distribution of time between report of
HIV infection and that of AIDS development. If we assume truncation,
the optimum truncating point was sensitive to the HIV growth assumed.
This procedure was applied to US data for validating the results
obtained from the Indian data. The results show that method works
well.
-
-
-
-