Finding the edge of a Poisson forest

B. D. Ripley; J.-P. Rasson

doi:10.2307/3213451

Abstract

The points of a homogeneous Poisson process within a compact convex set are observed. We consider how to reconstruct this domain from the observations.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Kendall, David G. and Kendall, Wilfrid S. 1980. Alignments in two-dimensional random sets of points. Advances in Applied Probability, Vol. 12, Issue. 2, p. 380.

Eddy, William F. and Gale, James D. 1981. The convex hull of a spherically symmetric sample. Advances in Applied Probability, Vol. 13, Issue. 4, p. 751.

Small, Christopher 1982. Random uniform triangles and the alignment problem. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 91, Issue. 2, p. 315.

Orton, C.R. 1982. Stochastic process and archaeological mechanism in spatial analysis. Journal of Archaeological Science, Vol. 9, Issue. 1, p. 1.

Moore, Marc and Laniel, Normand 1983. Reconstruction échantillonnale d'une forme convexe. Canadian Journal of Statistics, Vol. 11, Issue. 3, p. 181.

Hoffman, Richard and Jain, Anil K 1983. A test of randomness based on the minimal spanning tree. Pattern Recognition Letters, Vol. 1, Issue. 3, p. 175.

DeGroot, Morris H. and Eddy, William F. 1983. Recent Advances in Statistics. p. 175.

Smith, Stephen P. and Jain, Anil K. 1984. Testing for Uniformity in Multidimensional Data. IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. PAMI-6, Issue. 1, p. 73.

Buchta, Christian 1984. Stochastische Approximation konvexer Polygone. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 67, Issue. 3, p. 283.

Davis, R. Mulrow, E. and Resnick, S. 1987. The convex hull of a random sample in. Communications in Statistics. Stochastic Models, Vol. 3, Issue. 1, p. 1.

Schneider, Rolf 1988. Random approximation of convex sets*. Journal of Microscopy, Vol. 151, Issue. 3, p. 211.

Davis, Richard A. Mulrow, Edward and Resnick, Sidney I. 1988. Almost sure limit sets of random samples in ℝd. Advances in Applied Probability, Vol. 20, Issue. 3, p. 573.

Small, Christopher G. 1989. On functionals of random convex hulls. Canadian Journal of Statistics, Vol. 17, Issue. 1, p. 41.

Carlstein, E. and Krishnamoorthy, C. 1992. Boundary Estimation. Journal of the American Statistical Association, Vol. 87, Issue. 418, p. 430.

1993. Statistics for Spatial Data. p. 803.

Gordon, A.D. 1994. Identifying genuine clusters in a classification. Computational Statistics & Data Analysis, Vol. 18, Issue. 5, p. 561.

Rasson, Jean-Paul and Kubushishi, Tite 1994. New Approaches in Classification and Data Analysis. p. 186.

Mcbeth, Douglas and Resnick, Sidney 1994. Stability of random sets generated by multivariate samples. Communications in Statistics. Stochastic Models, Vol. 10, Issue. 3, p. 549.

Hardy, André 1994. New Approaches in Classification and Data Analysis. p. 178.

Jacob, Pierre and Suquet, Charles 1995. Estimating the edge of a Poisson process by orthogonal series. Journal of Statistical Planning and Inference, Vol. 46, Issue. 2, p. 215.

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Finding the edge of a Poisson forest

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Finding the edge of a Poisson forest

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