"A Note on the Computation of the Tobit Estimator," Econometrica, 1977.Paper: pdf file
Tobit estimates  are generally computed by some version of Newton's method. In this note an alternative procedure is proposed for computing these estimates. Some experimental results are presented that indicate that the procedure may be considerably faster than Newton's method for many problems. For ease of reference, the notation in this note corresponds closely to the notation in Amemiya .
This paper presents an alternative way of computing Tobit estimates from Newton's method. The experimental results use data from 1978#1.