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THE APPROPRIATE REDUCTION OF THE WEIGHTED EMPIRICAL PROCESS
Author(s) -
Shorack G.R.,
Beirlant J.
Publication year - 1986
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1986.tb01198.x
Subject(s) - reduction (mathematics) , mathematics , transformation (genetics) , inequality , process (computing) , mathematical economics , econometrics , computer science , mathematical analysis , chemistry , geometry , biochemistry , gene , operating system
. Using a new transformation (note (8)) to reduce down to [0,1], it is shown that the weighted empirical processes on [0,1] are always tight. This is shown to arise naturally through a discussion of a new inequality of MARCUS and ZINN (1984).