Abstract
In this chapter we suppose that the family of mean measures of the observed Poisson process cannot be described as a family parameterizedby a finite-dimensional parameter. Statistical problems are concerned with the estimation of certain functions (not parameters). We consider the problems of intensity measure and intensity function estimation. In these problems we formulate some low bounds on the risk of all estimators and then propose estimators that are asymptotically efficient in the sense of these bounds.
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© 1998 Springer Science+Business Media New York
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Kutoyants, Y.A. (1998). Nonparametric Estimation. In: Statistical Inference for Spatial Poisson Processes. Lecture Notes in Statistics, vol 134. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1706-0_7
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DOI: https://doi.org/10.1007/978-1-4612-1706-0_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98562-6
Online ISBN: 978-1-4612-1706-0
eBook Packages: Springer Book Archive