… Poisson point process or a Poisson process (also called a Poisson random measure or a
Poisson point … known as a point process that consists of randomly positioned points located on …

… Poisson point processes (PPPs) are discussed using a constructive approach readily accessible
to a broad audience. The processes … To see this, note that the probability of a Poisson …

… of point processes. For our present purposes, we shall understand by a point process some
method of randomly allocating points to … Note that whether a given point x0 represents a fixed …

… limit of these random configurations as n → ∞ is the Poisson process. This book, written
by two of the foremost experts on point processes, gives a masterful overview of the Poisson …

… point processes or Markov chains. This comparative neglect is ill judged, and stems from a
lack of perception of the real importance of the Poisson process… we note that, from the point of …

… obtain a point process called the excursion point process with values in the space of paths.
Using the strong Markov property of X, we can prove that Y is a Poisson point process. Its …

… point process for which a) holds but b) does not hold. We shall show in this note that such a
process … in the above characterisation of the Foisson process is unnecessary, as it follows …

… Throughout this note we will use the following notations. An interval of the type [l,r), −∞ < l
< r ≤ ∞ is called a time interval and is denoted by T, T1, T2,.... T is regarded as a measurable …

… in our representation of distributions of point processes. Note that Markov kernels appear,
for … In conjunction with the Poisson approximation of point processes of exceedances we will …

… In most applications to engineering and operations research, a point of a point process on
the line is the … Note that since Δ /∈ C, the points Xn ∈ {Δ} do not appear in the sum above (“…