Open AccessOn a Theorem of Bahadur on the Rate of Convergence of Test Statistics
Author(s) -
M. Raghavachari
Publication year - 1970
Publication title -
annals of mathematical statistics
Language(s) - English
Resource type - Journals
eISSN - 2168-8990
pISSN - 0003-4851
DOI - 10.1214/aoms/1177696813
Subject(s) - mathematics , independent and identically distributed random variables , zero (linguistics) , test statistic , random variable , equivalence (formal languages) , weak convergence , combinatorics , rate of convergence , convergence of random variables , statistical hypothesis testing , statistics , discrete mathematics , philosophy , linguistics , computer security , channel (broadcasting) , computer science , electrical engineering , asset (computer security) , engineering
summary:The author studies the linear rank statistics for testing the pypothesis of randomness against the alternative of two samples provided both are drawn grom discrete (integer-valued) distributions. The weak law of large numbers and the exact slope are obtained for statistics with randomized ranks of with averaged scores