Estimation of HIV/TB Co-infection and HIV/AIDS in India: Application of truncated distributions

Abstract

This paper intends to study the general trend and distribution of deaths in the working-age population due to HIV-TB co-infection and HIV/AIDS. The data is collected from Institute for Health Matrix and Evaluation from 1991 to 2015 (GBD 2015). An attempt is made to fit the Doubly Truncated Normal Distribution, Doubly Truncated Lognormal Distribution and Doubly Truncated Weibull Distribution to the working-age population of five year block periods. Doubly Truncated Lognormal Distribution well fitted as compare to other distributions and its mean increased from one block period to next block periods in both the diseases. Lognormal distribution is consistent as compare to others and its probability curve indicates improvement in the life span of the people who live with HIV.