Abstract
We begin by describing in an informal fashion the subject matter of this chapter. The part of the general theory of stochastic processes dealing with countable sets of points randomly distributed on the real line or in an arbitrary space (for instance, Cartesian d-dimensional space) is called the “Theory of Point Processes.” Of all point processes, those on the real line have been most widely studied. Notwithstanding their relatively simple structure, they form building blocks in a variety of industrial, biological, geophysical, and engineering applications. The following example describes a general situation which in a natural fashion introduces a point process on a line.
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© 1992 The Applied Probability Trust
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Todorovic, P. (1992). The Poisson Process and Its Ramifications. In: An Introduction to Stochastic Processes and Their Applications. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9742-7_2
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DOI: https://doi.org/10.1007/978-1-4613-9742-7_2
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