DISTRIBUTION OF RANDOM ELEMENTS SUBJECTED TO A FLEXIBLE BOUNDARY CONDITION

CHEN Han-dong;QIAO Yu

doi:10.1007/s10483-006-0305-1

Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 3: 313 - 316

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

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DISTRIBUTION OF RANDOM ELEMENTS SUBJECTED TO A FLEXIBLE BOUNDARY CONDITION

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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 date: 2005-03-10

Revised date: 2005-10-18

Online published: 2006-03-18

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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.

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

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CHEN Han-dong;QIAO Yu . DISTRIBUTION OF RANDOM ELEMENTS SUBJECTED TO A FLEXIBLE BOUNDARY CONDITION[J]. Applied Mathematics and Mechanics, 2006 , 27(3) : 313 -316 . DOI: 10.1007/s10483-006-0305-1

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