The above is glib in many ways---especially in its treatment of
errors. We will repair this later with real live theorems. First, we
state the obvious generalization.
The general maximum likelihood method is to put in Bayes Principle (*) and form for any measurement whose
probability depends on value
and
theoretical parameter(s) .
The maximum likelihood estimate of is where
is a maximum. The error is
the standard deviation of the distribution of L as a function of
, i.e.,