Named after Jerzy Neyman and Egon Pearson, who published the result in 1933 , the Neyman–Pearson lemma can be considered as the theoretical cornerstone of the modern theory of hypothesis testing. Although the situation it is addressing (a simple null hypothesis versus a simple alternative) is of limited practical value, this lemma paved the way for all further developments of the theory; see Ref.  for an overview. We briefly state that fundamental result, and describe some immediate applications to standard one-sided one-parameter problems.
|Title of host publication||Encyclopedia of Environmetrics, 2nd Edition|
|Editors||W. Piegorsch, A. El Shaarawi|
|Number of pages||3510|
|Publication status||Published - 2012|