Neveu's exchange formula for analysis of wireless networks with hotspot clusters

Autor:	Miyoshi, Naoto
Rok vydání:	2022
Předmět:	Mathematics - Probability 60G55 60G10 60D05 68M20 68M10 90B18 94A05 G.3
Druh dokumentu:	Working Paper
Popis:	Theory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communication networks. Neveu's exchange formula, which connects the respective Palm distributions for two jointly stationary point processes, is known as one of the most important results in the Palm calculus. However, its use in the analysis of wireless networks seems to be limited so far and one reason for this may be that the formula in a well-known form is based upon the Voronoi tessellation. In this paper, we present an alternative form of Neveu's exchange formula, which does not rely on the Voronoi tessellation but includes the one as a special case. We then demonstrate that our new form of the exchange formula is useful for the analysis of wireless networks with hotspot clusters modeled using cluster point processes. Comment: 19 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.00943 Zobrazit plný text záznamu View this record from Arxiv