Modelling point patterns with the Ivanoff–Merzbach renewal process Journal Articles

abstract

• AbstractThis paper demonstrates how to apply the Ivanoff–Merzbach renewal process (Ivanoff and Merzbach, 2006; Ivanoff, 2008) to the modelling of environmental and other forms of point process data. The model is explored via simulation, focusing on two special cases. Maximum likelihood estimation of model parameters is described and demonstrated for these cases. The methods are applied to a point pattern related to human settlement patterns and to a point pattern describing the locations of a species of pine. Copyright © 2009 John Wiley & Sons, Ltd.

authors

• Davies, Katherine
• Braun, W John

status

• published 

publication date

• February 2010

has subject area

• 01 Mathematical Sciences (FoR)
• 05 Environmental Sciences (FoR)
• Statistics & Probability (Science Metrix)

published in

• Environmetrics  Journal

keywords

• Environmental Sciences
• Environmental Sciences & Ecology
• Life Sciences & Biomedicine
• Mathematics
• Mathematics, Interdisciplinary Applications
• Physical Sciences
• Science & Technology
• Statistics & Probability
• applications
• maximum likelihood estimation
• renewal
• simulation
• spatial

Digital Object Identifier (DOI)

• 10.1002/env.987

start page

• 85

end page

• 101

volume

• 21

issue

• 1