Infill asymptotics for adaptive kernel estimators of spatial intensity
Australian and New Zealand Journal of Statistics , Volume 63 - Issue 1 p. 159- 181
We apply the Abramson principle to define adaptive kernel estimators for the intensity function of a spatial point process. We derive asymptotic expansions for the bias and variance under the regime that n independent copies of a simple point process in Euclidean space are superposed. The method is illustrated by means of a simple example and applied to tornado data.
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|Australian and New Zealand Journal of Statistics|
|Organisation||Centrum Wiskunde & Informatica, Amsterdam, The Netherlands|
van Lieshout, M.N.M. (2021). Infill asymptotics for adaptive kernel estimators of spatial intensity. Australian and New Zealand Journal of Statistics, 63(1), 159–181. doi:10.1111/anzs.12319