๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the law of the logarithm for density estimators

โœ Scribed by Peter Hall


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
256 KB
Volume
9
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The Law of the Iterated Logarithm for th
โœ S.S. Ralescu ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 640 KB

We consider estimation of a multivariate probability density function \(f(x)\) by kernel type nearest neighbor ( \(\mathrm{nn})\) estimators \(g_{n}(x)\). The development of \(\mathrm{nn}\) density estimation theory has had a rich history since Loftsgaarden and Quesenberry proposed the idea in 1965

Logarithmic Estimates for the Density of
โœ A. Kohatsu-Higa; D. Mรกrquez-Carreras; M. Sanz-Solรฉ ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

We consider a hypoelliptic two-parameter diffusion. We first prove a sharp upper bound in small time (s, t) ยฅ [0, 1] 2 for the L p -moments of the inverse of the Malliavin matrix of the diffusion process. Second, we establish the behaviour of 2e 2 log p s, t (x, y), as e a 0, where x is the initial

On the Law of The Iterated Logarithm for
โœ Rainer Schwabe; Allan Gut ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 490 KB

The usual law of the iterated logarithm states that the partial sums Sn of independent and identically distributed random variables can be normalized by the sequence an = d -, such that limsup,,, &/a, = t/z a. 9.. As has been pointed out by GUT (1986) the law fails if one considers the limsup along

The Law of the Iterated Logarithm for U-
โœ M.A. Arcones ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 311 KB

Sufficient conditions for the law of the iterated logarithm for non-degenerate U-processes are presented. The law of the iterated logarithm for V-C subgraph classes of functions is obtained under second moment of the envelope. A bracketing condition for the law of the iterated logarithm for U-proces