An invariance principle for linear combinations of order statistics |
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Authors: | Pranab Kumar Sen |
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Affiliation: | (1) Department of Biostatistics, University of North Carolina, 27514 Chapel Hill, N.C., USA |
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Abstract: | Summary Based on an (almost sure) reverse-martingale representation for linear combinations of order statistics (with smooth weight functions), a backward invariance principle (relating to the tail sequence) is established and the underlying regularity conditions are critically examined.Work supported by the Air Force Office of Scientific Research, AFSC, USAF, Contract No. AFOSR 74-2736. Reproduction in whole or part is permitted for any purpose of the U.S. Government |
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