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Biometrika 1974 61(2):253-261; doi:10.1093/biomet/61.2.253
© 1974 by Biometrika Trust
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The thinned plantation

SUSANNAH BROWN1 and P. HOLGATE2

1Department of Statistics, London School of Economics and Political Science
2Department of Statistics, Birkbeck College London

Moments of the square of the distance from a sample point to the rth nearest point of a point process are studied, when the process is derived from a square lattice by random thinning. They are used to obtain approximations to the power functions of certain tests of the null hypothesis of a Poisson process, when the alternative is a process of the type described.

Key Words: Geometrical probability • Nearest neighbour methods • Power function • Spatial point process


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