zbMATH — the first resource for mathematics

On an estimation problem for type I censored spatial Poisson processes. (English) Zbl 1265.62008
Summary: We consider the problem of estimating the intensity of a spatial homogeneous Poisson process if a part of the observations (quadrat counts) is censored. The actual problem has occurred during a court case when one of the authors was a referee for the defense.
62M09 Non-Markovian processes: estimation
62N01 Censored data models
62M30 Inference from spatial processes
Full Text: EuDML Link
[1] Fleming T. R., Harrington D. P.: Counting Processes and Survival Analysis. Wiley, New York 1991 · Zbl 1079.62093
[2] Klimko L. A., Nelson P. I.: On conditional least-squares estimation for stochastic processes. Ann. Statist. 6 (1978), 3, 629-642 · Zbl 0383.62055
[3] Resnick S. I.: Adventures in Stochastic Processes. Birkhäuser, Boston 1992 · Zbl 0762.60002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.