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

โœ Scribed by Cui Hengjian

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
302 KB
Volume
32
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

Motivated by recent work on exploratory Projection Pursuit (PP), we define the smoothing PP Kolmogorov-Smirnov statistics and the smoothing PP Cr~mer-von Mises statistics based on one-dimensional projections. We demonstrate the Laws of the Iterated Logarithm (LIL) for the PP Kolmogorov-Smimov statistics, the PP Cr~mer-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.

๐Ÿ“œ SIMILAR VOLUMES

The Law of the Iterated Logarithm and Ce
The Law of the Iterated Logarithm and Central Limit Theorem for L-Statistics
โœ Deli Li; M. Bhaskara Rao; R.J. Tomkins ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

The Chung Smirnov law of the iterated logarithm and the Finkelstein functional law of the iterated logarithm for empirical processes are used to establish new results on the central limit theorem, the law of the iterated logarithm, and the strong law of large numbers for L-statistics with certain bo