Limit Properties of Random Variables Associated With a Partial Ordering of Rd
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monotone subsequences
lower layers
partial ordering
discrepancy functions
subadditive processes
Physical Sciences and Mathematics
lower layers
partial ordering
discrepancy functions
subadditive processes
Physical Sciences and Mathematics
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Abstract
A limit theorem is established for the length of the longest chain of random values in Rd with respect to a partial ordering. The result is applied to a question raised by T. Robertson and F. T. Wright concerning the generalized empirical distribution function associated with the class of lower layers.
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1977
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The Annals of Probability
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At the time of publication, author J. Michael Steele was affiliated with University of British Columbia. Currently, he is a faculty member at the Statistics Department at the University of Pennsylvania.