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Distribution of random elements subjected to a flexible boundary condition

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Abstract

The probability distribution function of n random elements subjected to the flexible boundary condition is derived. The probability density is a descending curve and converges to a delta function as n tends to infinity. The distribution of the minimum value is discussed in context of ordered statistics.

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Stanford University, Stanford, CA, 94305, USA

    Chen Han-dong  (陈汉栋)

  2. Department of Civil Engineering, University of Akron, Akron, OH, 44325-3905, USA

    Qiao Yu  (乔宇) (Associate Professor, Doctor)

Authors
  1. Chen Han-dong  (陈汉栋)
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  2. Qiao Yu  (乔宇)
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Corresponding author

Correspondence to Qiao Yu  (乔宇).

Additional information

Communicated by ZHOU Zhe-wei

Project supported by the National Science Foundation of USA (No.CMS-0503910)

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Chen, Hd., Qiao, Y. Distribution of random elements subjected to a flexible boundary condition. Appl Math Mech 27, 313–316 (2006). https://doi.org/10.1007/s10483-006-0305-1

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  • DOI: https://doi.org/10.1007/s10483-006-0305-1

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Chinese Library Classification

2000 Mathematics Subject Classification

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