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Download the Paper (198 K, PDF file) - January 1, 2003 Tell a colleague about it. Printing Tips: Select 'print as image' in the Acrobat print dialog if you have trouble printing.

ABSTRACT:
e consider conditions under which parametric estimates of the intensity of a spatial-temporal point process are consistent. Although the actual point process being estimated may not be Poisson, an estimate involving maximizing a function that corresponds exactly to the log-likelihood if the process is Poisson is consistent under certain simple conditions. A second estimate based on weighted least squares is also shown to be consistent under quite similar assumptions. The conditions for consistency are simple and easily verified, and examples are provided to illustrate the extent to which consistent estimation may be achieved. An important special case is when the point processes being etimated are in fact Poisson, though other important examples are explored as well.

SUGGESTED CITATION:
Frederic P. Schoenberg, "Consistent Parametric Estimation of the Intensity of a Spatial-temporal Point Process" (January 1, 2003). Department of Statistics, UCLA. Department of Statistics Papers. Paper 2003010115.
http://repositories.cdlib.org/uclastat/papers/2003010115