The laws of the iterated logarithm for two kinds of PP statistics

Cui Hengjian

Statistics & Probability Letters, 1997, vol. 32, issue 3, 235-243

Abstract: Motivated by recent work on exploratory Projection Pursuit (PP), we define the smoothing PP Kolmogorov-Smirnov statistics and the smoothing PP Crámer-von Mises statistics based on one-dimensional projections. We demonstrate the Laws of the Iterated Logarithm (LIL) for the PP Kolmogorov-Smirnov statistics, the PP Crámer-von Mises statistics hold. The conditions and results of the LIL in this paper are same as those of the LIL in one-dimensional empirical processes.

Keywords: Projection; pursuit; Laws; of; the; iterated; logarithm; Smoothing; statistics; Empirical; processes (search for similar items in EconPapers)
Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(96)00079-X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:32:y:1997:i:3:p:235-243

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().