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Comparison of length-intensity estimators for segment processes

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  • Pawlas, Zbynek
  • Honzl, Ondrej

Abstract

Several unbiased length-intensity estimators for stationary segment processes in the d-dimensional Euclidean space are considered. The variances of the estimators are compared. The asymptotic behaviour is investigated if the sampling window increases unboundedly in all directions. The segments are assumed to be independent, identically distributed and independent of the locations. Special attention is devoted to the particular case of stationary Poisson segment processes. For the planar case and rectangular sampling windows, Neyman-Scott segment processes are studied in more detail.

Suggested Citation

  • Pawlas, Zbynek & Honzl, Ondrej, 2010. "Comparison of length-intensity estimators for segment processes," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 825-833, May.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:9-10:p:825-833
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    References listed on IDEAS

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    1. Tomáš Mrkvička & Ilya Molchanov, 2005. "Optimisation of linear unbiased intensity estimators for point processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(1), pages 71-81, March.
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    Cited by:

    1. Zbyněk Pawlas, 2014. "Self-crossing Points of a Line Segment Process," Methodology and Computing in Applied Probability, Springer, vol. 16(2), pages 295-309, June.

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