The detection and estimation of trends in two-dimensional Poisson processes.
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TL;DR
The occurrence of independent events at random in the plane, i.e. the formation of a planar point process, is discussed and a specific functional form for the parameter in a nonhomogeneous planar Poisson process is used to illustrate the development of test and parameter estimation techniques.
Abstract
Abstract : The occurrence of independent events at random in the plane, i.e. the formation of a planar point process, is discussed. Both homogeneous and nonhomogeneous processes are considered. A specific functional form for the parameter in a nonhomogeneous planar Poisson process is used to illustrate the development of test and parameter estimation techniques. The problem finds application in the description of biological phenomena as well as in search and detection problems.