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Fractal Dimensions for Some Increments of the Uniform Empirical Process

โœ Scribed by Djamal Louani; Alain Lucas

Book ID
110417920
Publisher
Springer US
Year
2003
Tongue
English
Weight
362 KB
Volume
16
Category
Article
ISSN
0894-9840

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๐Ÿ“œ SIMILAR VOLUMES

Random fractals generated by oscillation
Random fractals generated by oscillations of the uniform empirical process
โœ Zacharie Dindar ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

The Hausdor dimension of the set generated by exceptional oscillations of the uniform empirical process is studied. We correct a former result obtained by Deheuvels and Mason (1995, Ann. Probab. 23, 355 -387).

Some more results on increments of the p
Some more results on increments of the partially observed empirical process
โœ Zacharie Dindar ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 271 KB

The author studies the almost sure behaviour of the increments of the partially observed empirical process and derives some functional laws of the iterated logarithm for this process. Application to nonparametric density estimation is presented.