Abstract
A Cramer type large deviation theorem for simple linear rank statistics is obtained (range \(0 < x < {}_0(N^{{1 \mathord{\left/ {\vphantom {1 6}} \right. \kern-\nulldelimiterspace} 6}} )\)). The method of proof consists in approximating the simple linear rank statistic by a sum of independent, uniformly bounded random variables and then applying a Cramer type large deviation theorem on this sum.
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