Estimation of Incidence and Survival Function of Doubly Censored Data: with Application to Hiv / Aids

This book is motivated to take up exercises on certain problems pertaining to estimation of survival function of doubly censored HIV+ data by using non-parametric and semi-parametric methods. Evolution of new techniques in the epidemiology of HIV and AIDS such as modified back projection of HIV incidence from HIV and AIDS diagnosed data by employing E-M algorithm technique and effect of correct incubation distribution for estimating a consistent result has been undertaken. The role of some variables like mode of transmission, gender, age at the time of HIV diagnosis and the year of infection in affecting the longevity of survival time have been investigated. Modified Turnbull method is a new technique for estimating survival function of doubly censored observations. It is believed that the proposed statistical models are not limited to a specific region. The estimates of survival time obtained from the study are considered to be reasonable to be extrapolated to other countries if ascertained appropriate to do so. All programming and data analysis have been done by using SPSS and R software.