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On a Statistical Framework for Estimation from Random Set Observations

Author

Listed:
  • De-Jun Feng

    (Tsinghua University
    New Mexico State University)

  • Ding Feng

    (New Mexico State University)

Abstract

Using the theory of random closed sets, we extend the statistical framework introduced by Schreiber(11) for inference based on set-valued observations from the case of finite sample spaces to compact metric spaces with continuous distributions.

Suggested Citation

  • De-Jun Feng & Ding Feng, 2004. "On a Statistical Framework for Estimation from Random Set Observations," Journal of Theoretical Probability, Springer, vol. 17(1), pages 85-110, January.
    • Handle: RePEc:spr:jotpro:v:17:y:2004:i:1:d:10.1023_b:jotp.0000020476.12997.c2
    DOI: 10.1023/B:JOTP.0000020476.12997.c2
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    References listed on IDEAS

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    1. Polonik, W., 1995. "Density Estimation under Qualitative Assumptions in Higher Dimensions," Journal of Multivariate Analysis, Elsevier, vol. 55(1), pages 61-81, October.
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