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Distribution of minimum path

Published online by Cambridge University Press:  14 July 2016

Aaron Tenenbein
Aaron Tenenbein*
Affiliation:
New York University
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Abstract

Let Y, X1, X2, …, Xn be a set of n + 1 independently and uniformly distributed random variables on the interval (0, 1). The distribution of the length of the minimum path starting at Y which covers the other n points is derived. The solution is interesting in that it involves finding the distribution of an order statistic of a function of order statistics.

Keywords

FUNCTIONS OF ORDER STATISTICSMINIMUM PATHDISTRIBUTION OF ORDER STATISTICS
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 1 , March 1975 , pp. 164 - 166
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] David, H. A. (1970) Order Statistics. John Wiley, New York.Google Scholar