Location of Repository

Normal approximation for some mean-value estimates of absolutely regular tessellations

By L. Heinrich and Bielefeld Univ. (Germany). Sonderforschungsbereich 343 - Diskrete Strukturen in der Mathematik

Abstract

We give a bound for the absolute regularity coefficient of a Voronoi tessellation in terms of the absolute regularity coefficient of the generating stationary point process and its void probabilities. This result together with a suitable CLT for random fields provide asymptotic normality, for example, of the number of nodes or the total length of edges of the tessellation contained in a large sampling window whenever the underlying point process is close enough to a stationary Poisson process. Approximate 100(1-#alpha#)% confidence intervals for the intensity of nodes and some other parameters of the tessellation are constructedAvailable from TIB Hannover: RO 8278(92-044) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Topics: 12A - Pure mathematics, VORONI TESSELLATION: M, STATIONARY POINT PROCESS, ABSOLUTE REGULARITY COEFFICIENT, CONFIDENCE INTERVALS FOR INTENSITY OF NODES, CLT FOR RANDOM FIELDS, ESTIMATION OF ASYMPTOTIC VARIANCE
Year: 1992
OAI identifier:
Provided by: OpenGrey Repository
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://hdl.handle.net/10068/18... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.