REMARKS ON SOME SMOOTHED EMPIRICAL DISTRIBUTION FUNCTIONS AND PROCESS - Collections

＜journal article＞
REMARKS ON SOME SMOOTHED EMPIRICAL DISTRIBUTION FUNCTIONS AND PROCESS

Creator	Creator Name Mack, Y. P. Affiliation Affiliation Name Division of Statistics, University of California
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	1984-03
Source Title	Bulletin of informatics and cybernetics
Vol	21
Issue	1/2
First Page	29
Last Page	35
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/13353
Related DOI	Bulletin of informatics and cybernetics \|\| 21(1/2) \|\| p29-35
Related DOI	http://bic.math.kyushu-u.ac.jp/
Related URI	Bulletin of informatics and cybernetics \|\| 21(1/2) \|\| p29-35
Related URI	http://bic.math.kyushu-u.ac.jp/
Relation	Bulletin of informatics and cybernetics \|\| 21(1/2) \|\| p29-35
Relation	http://bic.math.kyushu-u.ac.jp/
Abstract	It is shown that under mild assumptions, a convolution-smoothed empirical process exhibits essentially the same asymptotic properties as the standard empirical process such as : a pointwise law of ite...rated logarithm, weak convergence to Brownian bridge, and the Chung-Smirnov property. Some remarks of statistical and probabilistic interests are made. A list of open questions is also included.show more

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