Geodesic
Estimation of intersection intensity in a Poisson process of segments
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 93-106

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The minimum variance unbiased estimator of the intensity of intersections is found for stationary Poisson process of segments with parameterized distribution of primary grain with known and unknown parameters. The minimum variance unbiased estimators are compared with commonly used estimators.
Classification : 60D05, 62B05, 62J10, 62M09
Keywords: complete statistic; Poisson process; segment process; sufficient statistic; intensity of intersections 
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     title = {Estimation of intersection intensity in a {Poisson} process of segments},
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Mrkvička, Tomáš. Estimation of intersection intensity in a Poisson process of segments. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 93-106. http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a7/