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Intensity-based inference for planar point processes

Author

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  • Ivanoff, B.Gail
  • Merzbach, Ely

Abstract

The martingale methods of estimation are extended to point processes on the plane. A likelihood function is constructed and a general exponential formula is given. A central limit theorem is proved for processes which are both 1- and 2-martingales. Martingale estimators are defined, and consistency, sufficiency and asymptotic normality are discussed.

Suggested Citation

  • Ivanoff, B.Gail & Merzbach, Ely, 1990. "Intensity-based inference for planar point processes," Journal of Multivariate Analysis, Elsevier, vol. 32(2), pages 269-281, February.
    • Handle: RePEc:eee:jmvana:v:32:y:1990:i:2:p:269-281
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    Cited by:

    1. Noel Cressie & Jun Zhu & Adrian J. Baddeley & M. Gopalan Nair, 2000. "Directed Markov Point Processes as Limits of Partially Ordered Markov Models," Methodology and Computing in Applied Probability, Springer, vol. 2(1), pages 5-21, April.

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