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A note on linear estimation of the intensity in a doubly stochastic Poisson field

Published online by Cambridge University Press:  14 July 2016

Jan Grandell
Jan Grandell*
Affiliation:
University of Stockholm
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Summary

A realization of a doubly stochastic Poisson field is assumed to be observed in a Borel set S ⊂ Rk. The best linear estimate of the realization of the intensity field (at an arbitrary but fixed point x ∈ S) which generated the observation is obtained.

Type
Short Communications
Information
Journal of Applied Probability , Volume 8 , Issue 3 , September 1971 , pp. 612 - 614
Copyright
Copyright © Applied Probability Trust 1971 

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References

Cox, D. R. and Lewis, P. A. W. (1966) The Statistical Analysis of Series of Events. Methuen, London.Google Scholar
Grandell, J. (1970) On stochastic processes generated by a stochastic intensity function. Skand. Aktuartidskr. (To appear).Google Scholar
Matern, B. (1970) Doubly stochastic Poisson processes in the plane. Statistical Ecology I: Spatial Patterns and Statistical Distributions. Edited. by Patil, G. P., Pielou, E. C. and Waters, W. E. Google Scholar