منابع مشابه
Percolation on a non-homogeneous Poisson blob process
One of the most well known examples of phenomena that introduces and motivates the study of continuum percolation is the process of the ground getting wet during a period of rain. At each point hit by a raindrop, one sees a circular wet patch. Right after the rain begins to fall what one sees is a small wet region inside a large dry region. At some instant, so many raindrops have hit the ground...
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By dealing with interarrival times as exponentially distributed fuzzy random variables, a fuzzy random homogeneous Poisson process and a fuzzy random compound Poisson process are respectively defined. Several theorems on the two processes are provided, respectively.
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Non-homogenous Poisson processes with periodic claim intensity rate are proposed as the claim counting process of risk theory. We introduce a doubly periodic Poisson model with short and long term trends, illustrated by a double-beta intensity function. Here periodicity does not repeat the exact same short term pattern every year, but lets its peak intensity vary over a longer period. This mode...
متن کاملFramework of Applying a Non-Homogeneous Poisson Process to Model VoIP Traffic on Tandem Networks
This paper presents a new framework for Voice over IP (VoIP) traffic modeling based on a nonhomogeneous Poisson process. The telecom industry is heading towards replacing the legacy TDM networks with an IP core network. The purpose of traffic engineering is to minimize call blocking probability and maximize resource utilization. A challenge of migrating to an IP core network is to develop an en...
متن کاملOn Modeling Non - homogeneous Poisson Process for Stochastic Simulation Input Analysis
A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the random inputs vary over time in such a way that the functional forms of the distributions and/or their parameters depend on time. This paper answers the quest...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1953
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-14-1-124-128