On One of Matérn's Hard-core Point Process Models

1985 ◽  
Vol 122 (1) ◽  
pp. 205-214 ◽  
Author(s):  
Dietrich Stoyan ◽  
Helga Stoyan
Keyword(s):  
Point Process ◽  
Hard Core ◽  
Process Models ◽  
Core Point ◽  
Point Process Models ◽  
Hard Core Point Process

scholarly journals Analysis of User Content Retrieval Delay Based on the Matern Hard-Core Point Process of Type II

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Shuyuan Zhao ◽  
Jihong Zhao ◽  
Hua Qu ◽  
Gongye Ren
Keyword(s):  
Wireless Networks ◽  
Point Process ◽  
Hard Core ◽  
Cumulative Distribution ◽  
Type Ii ◽  
Approximate Methods ◽  
Core Point ◽  
Content Retrieval ◽  
Hard Core Point Process ◽  
User Content

The content retrieval delay is an important performance metric for enhancing user experience in wireless networks. In this paper, by modeling the locations of the base stations (BSs) as the Matern hard-core point process of type II (MHP), we analyze the content retrieval delay for a typical cache-enabled device in wireless networks under the most popular content policy. Since it is intractable to get the size distribution of a Voronoi cell in the MHP model, we propose an approximate formula based on the empirical result in the Poisson point process and derive the cellular load which denotes the number of the user devices connected to a randomly chosen BS. Since the probability generating functional for MHP does not exist, we also propose approximate methods for the coverage probability of the MHP model. At last, we derive the cumulative distribution function of the content retrieval delay. Simulation results validate the accuracy of our analytical conclusions for user content retrieval delay.

Habitat use of toothed whales in a marine protected area based on point process models

2019 ◽  
Vol 609 ◽  
pp. 239-256 ◽  
Author(s):  
TL Silva ◽  
G Fay ◽  
TA Mooney ◽  
J Robbins ◽  
MT Weinrich ◽  
...  
Keyword(s):  
Habitat Use ◽  
Point Process ◽  
Protected Area ◽  
Marine Protected Area ◽  
Process Models ◽  
Point Process Models

scholarly journals An efficient optimizer for simple point process models

2013 ◽  
Author(s):  
Ahmed Gamal-Eldin ◽  
Guillaume Charpiat ◽  
Xavier Descombes ◽  
Josiane Zerubia
Keyword(s):  
Point Process ◽  
Process Models ◽  
Simple Point ◽  
Point Process Models
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