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This paper focuses on the influence of communication range on the probability that all nodes are connected under two conditions, respectively: (1) all nodes have the same communication range, and (2) communication range of each node is a random variable. In the former case, this work proves that, for [Formula: see text], if the probability of the network being connected is [Formula: see text], by means of increasing communication range by constant [Formula: see text], the probability of network being connected is at least [Formula: see text]. Explicit function [Formula: see text] is given. It turns out that, once the network is connected, it also makes the WSNs resilient against nodes failure. In the latter case, this paper proposes that the network connection probability is modeled as Cox process. The change of network connection probability with respect to distribution parameters and resilience performance is presented. Finally, a method to decide the distribution parameters of node communication range in order to satisfy a given network connection probability is developed. <\/jats:p>","DOI":"10.1155\/2013\/482727","type":"journal-article","created":{"date-parts":[[2013,9,14]],"date-time":"2013-09-14T21:01:27Z","timestamp":1379192487000},"page":"482727","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["The Influence of Communication Range on Connectivity for Resilient Wireless Sensor Networks Using a Probabilistic Approach"],"prefix":"10.1177","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8613-8902","authenticated-orcid":false,"given":"Yuanjiang","family":"Huang","sequence":"first","affiliation":[{"name":"Centro de Investigaci\u00f3n en Tecnolog\u00edas Software y Sistemas Multimedia para la Sostenibilidad (CITSEM), Campus Sur Universidad Polit\u00e9cnica de Madrid (UPM), 28031 Madrid, 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