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Article

Hurt, Jan ; Lachout, Petr ; Pfeifer, Dietmar
On an estimation problem for type I censored spatial Poisson processes. (English). Kybernetika, vol. 37 (2001), issue 1, pp. [103]-108
MSC: 60G55, 62F10, 62M09, 62M30, 62N01 | MR 1825760 | Zbl 1265.62008
Keywords:
spatial homogeneous Poisson processes; intensity estimation
Summary:
In this paper 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.
References:
[1] Fleming T. R., Harrington D. P.: Counting Processes and Survival Analysis. Wiley, New York 1991 MR 1100924 | 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 DOI 10.1214/aos/1176344207 | MR 0494770 | Zbl 0383.62055
[3] Resnick S. I.: Adventures in Stochastic Processes. Birkhäuser, Boston 1992 MR 1181423 | Zbl 0762.60002
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