The Detection and Estimation of Trends in Two-Dimensional Poisson Processes
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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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.
- Statistics and Probability