Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (3): 313-316 .doi: https://doi.org/10.1007/s10483-006-0305-1

• 论文 • 上一篇    下一篇

DISTRIBUTION OF RANDOM ELEMENTS SUBJECTED TO A FLEXIBLE BOUNDARY CONDITION

陈汉栋, 乔宇   

  • 收稿日期:2005-03-10 修回日期:2005-10-18 出版日期:2006-03-18 发布日期:2006-03-18
  • 通讯作者: 乔宇

DISTRIBUTION OF RANDOM ELEMENTS SUBJECTED TO A FLEXIBLE BOUNDARY CONDITION

CHEN Han-dong, QIAO Yu   

    1. Department of Applied Physics, Stanford University, Stanford, CA 94305, USA;
    2. Department of Civil Engineering, University of Akron, Akron, OH 44325-3905, USA
     
  • Received:2005-03-10 Revised:2005-10-18 Online:2006-03-18 Published:2006-03-18
  • Contact: QIAO Yu

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.

Key words: flexible boundary condition, constrained random elements, probability density, ordered statistics

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