‘Outlier resistance in small samples’

Abstract

H. A. David and C. C. Yang, Iowa State University, have noted the following points. The author does not stay with his own definition of D T ( n , q ) but in fact uses ċ ċ ċ D T ( n , q ) = E { T ( z 1 , , ċ ċ ċ , z n - q , ∞ , ... , ∞ ) } . Even with this change the proof of the theorem on p. 176 is in error since the combinatorial term associated with δ n − r should be ( n - q n - r ) , n o t ( n - q r ) . However, since δ n − r = δ n − q , the theorem follows directly from Case 2 of David & Groeneveld (1982), and has essentially been proved by Sen (1985, pp. 309–11).