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Laws of Large Numbers for Random Sets

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Random Sets

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 97))

Abstract

The probabilistic study of geometrical objects has motivated the formulation of a general theory of random sets. Central to the general theory of random sets are questions concerning the convergence for averages of random sets which are known as laws of large numbers. General laws of large numbers for random sets are examined in this paper with emphasis on useful characterizations for possible applications.

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Georgia, Athens, GA, 30602, USA

    Robert L. Taylor

  2. School of Management, Science University of Tokyo, Kuki, Saitama 346, Japan

    Hiroshi Inoue

Authors
  1. Robert L. Taylor
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  2. Hiroshi Inoue
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD, 21218, USA

    John Goutsias

  2. Tactical Defense Systems, Lockheed Martin Corporation, Eagan, MN, 55121, USA

    Ronald P. S. Mahler

  3. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, 88003, USA

    Hung T. Nguyen

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© 1997 Springer Science+Business Media New York

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Taylor, R.L., Inoue, H. (1997). Laws of Large Numbers for Random Sets. In: Goutsias, J., Mahler, R.P.S., Nguyen, H.T. (eds) Random Sets. The IMA Volumes in Mathematics and its Applications, vol 97. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1942-2_15

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  • DOI: https://doi.org/10.1007/978-1-4612-1942-2_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7350-9

  • Online ISBN: 978-1-4612-1942-2

  • eBook Packages: Springer Book Archive

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