Incubation-time distribution in back-calculation applied to HIV/AIDS data in India
In this article, HIV incidence density is estimated from prevalencedata and then used together with reported cases of AIDS to estimate incubation-time distribution. We used deconvolution technique and maximum likelihoodmethod to estimate parameters. The effect of truncation in hazardwas also examine...
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.263 |
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| author | Arni S.R. Srinivasa Rao Masayuki Kakehashi |
| author_facet | Arni S.R. Srinivasa Rao Masayuki Kakehashi |
| author_sort | Arni S.R. Srinivasa Rao |
| collection | DOAJ |
| description | In this article, HIV incidence density is estimated from prevalencedata and then used together with reported cases of AIDS to estimate incubation-time distribution. We used deconvolution technique and maximum likelihoodmethod to estimate parameters. The effect of truncation in hazardwas also examined. The mean and standard deviation obtained with theWeibull assumption were 12.9 and 3.0 years, respectively. The estimationseemed useful to investigate distribution of time between report ofHIV 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 resultsobtained from the Indian data. The results show that method workswell. |
| format | Article |
| id | doaj-art-699bde43f56a40cf8ce35aac6e19cf77 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-699bde43f56a40cf8ce35aac6e19cf772025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012226327710.3934/mbe.2005.2.263Incubation-time distribution in back-calculation applied to HIV/AIDS data in IndiaArni S.R. Srinivasa Rao0Masayuki Kakehashi1Centre for Ecological Sciences, Indian Institute of Science, Bangalore, 560 012.Institute of Health Science, Faculty of Medicine, Hiroshima University, Hiroshima, 734-8551In this article, HIV incidence density is estimated from prevalencedata and then used together with reported cases of AIDS to estimate incubation-time distribution. We used deconvolution technique and maximum likelihoodmethod to estimate parameters. The effect of truncation in hazardwas also examined. The mean and standard deviation obtained with theWeibull assumption were 12.9 and 3.0 years, respectively. The estimationseemed useful to investigate distribution of time between report ofHIV 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 resultsobtained from the Indian data. The results show that method workswell.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.263maximum likelihood methodincubation timedistribution.back-calculation |
| spellingShingle | Arni S.R. Srinivasa Rao Masayuki Kakehashi Incubation-time distribution in back-calculation applied to HIV/AIDS data in India Mathematical Biosciences and Engineering maximum likelihood method incubation timedistribution. back-calculation |
| title | Incubation-time distribution in back-calculation applied to HIV/AIDS data in India |
| title_full | Incubation-time distribution in back-calculation applied to HIV/AIDS data in India |
| title_fullStr | Incubation-time distribution in back-calculation applied to HIV/AIDS data in India |
| title_full_unstemmed | Incubation-time distribution in back-calculation applied to HIV/AIDS data in India |
| title_short | Incubation-time distribution in back-calculation applied to HIV/AIDS data in India |
| title_sort | incubation time distribution in back calculation applied to hiv aids data in india |
| topic | maximum likelihood method incubation timedistribution. back-calculation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.263 |
| work_keys_str_mv | AT arnisrsrinivasarao incubationtimedistributioninbackcalculationappliedtohivaidsdatainindia AT masayukikakehashi incubationtimedistributioninbackcalculationappliedtohivaidsdatainindia |