 Credit for the extreme value theorem (or convergence to types theorem) is given to Gnedenko (1948), previous versions were stated by Ronald Fisher and Leonard Henry Caleb Tippett (1928) and Fréchet (1927).The role of the extremal types theorem for maxima is similar to that of central limit theorem for averages, except that the central limit theorem applies to the average of a sample from any distribution with finite variance, while the Fisher–Tippet–Gnedenko theorem only states that "if" the distribution of a normalized maximum converges, "then" the limit has to be one of a particular class of distributions.It does not state that the distribution of the normalized maximum does converge.