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THE EXACT DISTRIBUTION OF THE BELL-DOKSUM TEST OF INDEPENDENCE
Authors:Barrie D.  Spurr
Affiliation:University of St. Andrews
Abstract:An expression for the exact distribution of the Bell-Doksum test of independence based upon the use of order statistics from normally distributed random samples is derived and a table of critical values is provided. Two extensions of the theory are considered and possible applications to Poisson processes and queueing theory are noted.
Keywords:Bell-Doksum test    Bessel function    Chi-square    Confluent hypergeometric function    Cumulative distribution    Gamma distribution    Poisson process
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