Mathematics

  2010 AUG 24 - (VerticalNews.com) -- According to recent research from People's Republic of China, "In this work, some relationships between stochastic properties and topological properties of dynamical systems are investigated."

  "Let f be a continuous map from a compact metric space X to itself," wrote Y.X. Niu and colleagues, Anhui University.

  The researchers concluded: "We prove that if f satisfies the central limit theorem, then f is topologically strongly ergodic and (X, f) is an E-system, that is, f is topologically transitive and there is an invariant Borel probability measure m with full support. ...read more

  2010 AUG 24 - (VerticalNews.com) -- "When the data used to fit an heteroscedastic nonparametric regression model are contaminated with outliers, robust estimators of the scale function are needed in order to obtain robust estimators of the regression function and to construct robust confidence bands," scientists writing in the journal Statistics & Probability Letters report.

  "In this paper, local M-estimators of the scale function based on consecutive differences of the responses, for fixed designs are considered," wrote G. Boente and colleagues ...read more

  2010 AUG 24 - (VerticalNews.com) -- According to recent research from the United States, "We study the existing models for right-censored competing risks data and with masked failure cause."

  "By introducing a new random variable hidden behind the current models, we give a practical interpretation of the symmetry assumption made by almost all researchers in this field. We further point out that the drawback of the symmetry assumption is that it has a strong restriction on the underlying distribution function to be studied," wrote Q.Q. Yu and colleagues, State University of New York ...read more