The Clark approximation, in which the maximum of two normally distributed random variables is approximated by a third normally distributed random variable, forms the basis of a relatively inexpensive ...
and is the normal probability function. This is the likelihood function for a binary probit model. This likelihood is strictly positive so that you can take a square root of and use this as your ...
The Canadian Journal of Statistics / La Revue Canadienne de Statistique We consider optimal designs for a class of symmetric models for binary data which includes the common probit and logit models.