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Article

Mrkvička, Tomáš
Estimation of intersection intensity in a Poisson process of segments. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 93-106
MSC: 60D05, 62B05, 62J10, 62M09 | MR 2338832 | Zbl 1199.60035
Keywords:
complete statistic; Poisson process; segment process; sufficient statistic; intensity of intersections
Summary:

References:
[1] Daley D. J., Vere-Jones D.: An Introduction to the Theory of Point Processes. Springer, New York, 1998. MR 0950166 | Zbl 1159.60003
[2] Lehmann E.L.: Theory of Point Estimation. Wadsworth & Brooks, California, 1991. MR 1143059 | Zbl 0916.62017
[3] Mrkvička T.: Estimation variances for Poisson process of compact sets. Adv. Appl. Prob. (SGSA) 33 (2001), 765-772. MR 1875778
[4] Mrkvička T.: Estimation variances for parameterized marked point processes and for parameterized Poisson segment processes. Comment. Math. Univ. Carolin. 45 (2004), 1 109-117. MR 2076863
[5] Stoyan D., Kendall W.S., Mecke J.: Stochastic Geometry and its Applications (2nd Ed.). John Wiley & Sons, Chichester, 1995. MR 0895588 | Zbl 0838.60002
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