Original title: Charakteristiky druhého řádu bodových procesů
Translated title: Second-order characteristics of point processes
Authors: Gupta, Archit ; Pawlas, Zbyněk (advisor) ; Prokešová, Michaela (referee)
Document type: Master’s theses
Year: 2019
Language: eng
Abstract: In this thesis we examine estimation of the K-function which is an important second-order characteristic in the theory of spatial point processes. Besides Ripley's K-function based on a spherical structuring element we also work with the multiparameter K-function where the struc- turing element is rectangular. We consider the Poisson point process model, which is the fundamental model for complete spatial randomness. We de- rive expressions for both bias and variance of the estimators. The primary goal of this thesis is the study of different edge correction methods that are available for the K-function. Using simulations we also study a few variance approximations proposed in the literature and compare them with empirical variances. 1

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/107216

Permalink: http://www.nusl.cz/ntk/nusl-397817


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Master’s theses