Maximum Likelihood Principle Illustrated by Measurement Errors---II

• The likelihood function for whole experiment of n events is defined as:

  

• c and are calculable constants to normalize probability. This is---up to a constant---the probability of the given,

  the true length ,

  and certain theoretical assumptions or prejudices that we represent as T.

  

  using conditional probability notation.

• T is, for instance, the notion that distribution is Gaussian and the value of taken (the latter being calculable from the strength of earthquake or amount of beer drunk).