Estimating the survival times of HIV patients using a markov chain
In this paper, real-world data are used to estimate CDC (Center for Disease Control) stage transition times for patients diagnosed with HIV using statistical methods. The method that will be used for these estimations will be an analysis of a finite state Markov chain. For the purposes of this thesi...
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INSI Publications
2011
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| Online Access: | http://irep.iium.edu.my/3730/ http://irep.iium.edu.my/3730/ http://irep.iium.edu.my/3730/1/Jamal-10.pdf |
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iium-37302011-12-23T09:02:14Z http://irep.iium.edu.my/3730/ Estimating the survival times of HIV patients using a markov chain Crews, Trenton Khamis, Imad Daoud, Jamal Ibrahim HA Statistics In this paper, real-world data are used to estimate CDC (Center for Disease Control) stage transition times for patients diagnosed with HIV using statistical methods. The method that will be used for these estimations will be an analysis of a finite state Markov chain. For the purposes of this thesis, two populations will be analyzed. The two populations are men and women. A one-step transition matrix will be derived for both of the populations. Using this one-step transition matrix, a steady-state probability vector will also be derived. The data and the corresponding results will then be used to make a comparison between the two populations. The data were collected by observing individuals infected with HIV. Individuals who were active in the study were observed every six months. During these observations, each individual’s CDC stage was recorded. Involvement in the study was voluntary resulting in many individuals only being observed once which meant that no data concerning their transition from one CDC stage to another could be acquired. Even with the large number of individuals who discontinued their participation in the study, there were still a large number of individuals who maintained their participation throughout the duration of the study and ensured that the variance and error estimates of the results would be negligible. INSI Publications 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/3730/1/Jamal-10.pdf Crews, Trenton and Khamis, Imad and Daoud, Jamal Ibrahim (2011) Estimating the survival times of HIV patients using a markov chain. Australian Journal of Basic and Applied Sciences, 5 (5). pp. 41-48. ISSN 1991-8178 http://www.insipub.com/online.html |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
HA Statistics |
| spellingShingle |
HA Statistics Crews, Trenton Khamis, Imad Daoud, Jamal Ibrahim Estimating the survival times of HIV patients using a markov chain |
| description |
In this paper, real-world data are used to estimate CDC (Center for Disease Control) stage transition times for patients diagnosed with HIV using statistical methods. The method that will be used for these estimations will be an analysis of a finite state Markov chain. For the purposes of this thesis, two populations will be analyzed. The two populations are men and women. A one-step transition matrix will be derived for both of the populations. Using this one-step transition matrix, a steady-state probability vector will also be derived. The data and the corresponding results will then be used to make a comparison between the two populations. The data were collected by observing
individuals infected with HIV. Individuals who were active in the study were observed every six months. During these observations, each individual’s CDC stage was recorded. Involvement in the study was voluntary resulting in many individuals only being observed once which meant that no data concerning their transition from one CDC stage to another could be acquired. Even with the large
number of individuals who discontinued their participation in the study, there were still a large number
of individuals who maintained their participation throughout the duration of the study and ensured that
the variance and error estimates of the results would be negligible.
|
| format |
Article |
| author |
Crews, Trenton Khamis, Imad Daoud, Jamal Ibrahim |
| author_facet |
Crews, Trenton Khamis, Imad Daoud, Jamal Ibrahim |
| author_sort |
Crews, Trenton |
| title |
Estimating the survival times of HIV patients using a markov chain |
| title_short |
Estimating the survival times of HIV patients using a markov chain |
| title_full |
Estimating the survival times of HIV patients using a markov chain |
| title_fullStr |
Estimating the survival times of HIV patients using a markov chain |
| title_full_unstemmed |
Estimating the survival times of HIV patients using a markov chain |
| title_sort |
estimating the survival times of hiv patients using a markov chain |
| publisher |
INSI Publications |
| publishDate |
2011 |
| url |
http://irep.iium.edu.my/3730/ http://irep.iium.edu.my/3730/ http://irep.iium.edu.my/3730/1/Jamal-10.pdf |
| first_indexed |
2023-09-18T20:11:40Z |
| last_indexed |
2023-09-18T20:11:40Z |
| _version_ |
1777407519083200512 |