‘Asymptotic normality and efficency of certain goodness-of-fit test’

Abstract

Page 142 line 12 from the bottom should read e ′ j . α = 1 2 ∫ 0 1 { d ( X ) } 2 d x . cov { ( X - α ) 2 - X , f ( X ) } ( α var { f ( X ) } - [ cov { X , f ( X ) } ] 2 ) 1 2 . Hence the asymptotio power in Theorem 3 on page 143 should be [ - λ a + ( 1 2 α ) 1 2 ∫ 0 1 { d ( x ) } 2 d x ] . Thus it depends on α. The Pitman efficiency on page 143, line 17, should be [ p { ( x - α ) 2 - X , f ( X ) - b X } ] 2 , and that of the empty cell test, line 20, should be e ( α ) = 1 2 α 2 ( e α - 1 - α ) .