Statistical estimation of model parameters of planar Neyman-Scott cluster processes. (English) Zbl 0850.62701


62M99 Inference from stochastic processes
Full Text: DOI EuDML


[1] Baudin M (1981) Likelihood and nearest neighbour distance properties of multidimensional Poisson cluster processes. J Appl Prob 18:879–888 · Zbl 0475.60033
[2] Fiksel T (1988) Edge-corrected density estimators for point processes. Statistics 19:67–75 · Zbl 0644.62044
[3] Heinrich (1990) has proved consistency properties of an estimation method similar to that in Section 3.
[4] Heinrich L (1990) Minimum contrast estimators for parameters of ergodic spatial point processes. In: Transactions 11th Prague Conf. Inf. Theory, Statist. Dec. Funct. Rand. Proc., Prague 1990
[5] Matern B (1971) Doubly stochastic Poisson processes in the plane. In: Patil G (ed) Statistical Ecology, vol 1. Penn State Univ Press, University Park and London, pp 195–213
[6] Matern B (1986) Spatial Variation. Lecture Notes in Statistics, no 36. Springer, Berlin Heidelberg New York · Zbl 0608.62122
[7] Paloheimo JE (1971) Discussion to Matern (1971), same volume, pp 210–212
[8] Penttinen AK, Stoyan D, Henttonen H (1991) Marked point processes in forest statistics (submitted)
[9] Stoyan D, Kendall WS, Mecke J (1977) Stochastic Geometry and Its Applications. Wiley, Chichester · Zbl 0838.60002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.