منابع مشابه
New Approach to Rayleigh Wave Propagation in the Elastic Halfspace — Viscoelastic Layer Interface
The Rayleigh wave propagation problem in the elastic halfspace — viscoelastic layer interface was analysed in the paper. The problem was formulated in the Fourier–Laplace space using the Biot viscoelastic solid model. The characteristic equation has taken the Rayleigh equation form with correction term describing viscoelastic layer properties influence on the wave velocity. The approach present...
متن کاملApproximate Halfspace Range Counting
We present a simple scheme extending the shallow partitioning data structures of Matoušek, that supports efficient approximate halfspace range-counting queries in R with relative error ε. Specifically, the problem is, given a set P of n points in R, to preprocess them into a data structure that returns, for a query halfspace h, a number t so that (1−ε)|h∩P | ≤ t ≤ (1+ε)|h∩P |. One of our data s...
متن کاملGeneralization of Halfspace Depth
A data depth is one of the most important concepts of nonparametric multivariate analysis. Several depth functions have been introduced since 1980. The halfspace depth is probably the most popular. This depth function has many desirable properties (they are stated in the general definition of statictical depth function). We show a way of generalization of the halfspace depth finding a broader c...
متن کاملWeighted halfspace depth
Generalised halfspace depth function is proposed. Basic properties of this depth function including the strong consistency are studied. We show, on several examples that our depth function may be considered to be more appropriate for nonsymetric distributions or for mixtures of distributions.
متن کاملError Probabilities for Halfspace Depth
Data depth functions are a generalization of one-dimensional order statistics and medians to real spaces of dimension greater than one; in particular, a data depth function quantifies the centrality of a point with respect to a data set or a probability distribution. One of the most commonly studied data depth functions is halfspace depth. It is of interest to computational geometers because it...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1970
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1665424