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The generalized FGM distribution and its application to stereology of extremes

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Abstract

The generalized FGM distribution and related copulas are used as bivariate models for the distribution of spheroidal characteristics. It is shown that this model is suitable for the study of extremes of the 3D spheroidal particles observed in terms of their random planar sections.

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Author information

Authors and Affiliations

  1. Praha, Czech Republic

    Daniel Hlubinka

  2. Washington, USA

    Samuel Kotz

  3. Faculty of Mathematics and Physics, Department of Probability and Statistics, Charles University in Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Daniel Hlubinka

  4. Department of Engineering Management, The George Washington University, Washington, DC, 20052, USA

    Samuel Kotz

Authors
  1. Daniel Hlubinka
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  2. Samuel Kotz
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Corresponding author

Correspondence to Daniel Hlubinka.

Additional information

The work of the first author is a part of the research project MSM 0021620839 financed by MŠMT and partly supported by the project No. 201/08/0486 of the Grant Agency of the Czech Republic.

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Hlubinka, D., Kotz, S. The generalized FGM distribution and its application to stereology of extremes. Appl Math 55, 495–512 (2010). https://doi.org/10.1007/s10492-010-0020-x

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