On The Berry-Esseen Theorem for Simple Linear Rank Statistics.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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The rate of convergence 0N to the power -12 delta for any delta 0 is established for two theorems on asymptotic normality of simple linear rank statistics. These pertain to smooth and bounded scores, arbitrary regression constants, and broad conditions on the distributions of individual observations. The present development provides some alternative arguments of proof, and provides explicit application to relax the conditions of a theorem givin the above rate for the case of location-shift alternatives.
- Statistics and Probability