  The approximate Bernstein polynomial model, a mixture of beta distributions,
is applied to obtain maximum likelihood estimates of the regression
coefficients, and the baseline density and survival functions in an accelerated
failure time model based on interval censored data including current status
data. The rate of convergence of the proposed estimates are given under some
conditions for uncensored and interval censored data. Simulation shows that the
proposed method is better than its competitors. The proposed method is
illustrated by fitting the Breast Cosmetic Data using the accelerated failure
time model.
