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

MSC:
62M99 Inference from stochastic processes
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References:
[1] Baudin M (1981) Likelihood and nearest neighbour distance properties of multidimensional Poisson cluster processes. J Appl Prob 18:879–888 · Zbl 0475.60033 · doi:10.2307/3213062
[2] Fiksel T (1988) Edge-corrected density estimators for point processes. Statistics 19:67–75 · Zbl 0644.62044 · doi:10.1080/02331888808802072
[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
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