Some further results on random splitting of an interval

Some further results on random splitting of an interval

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Article ID: iaor1990669
Country: Israel
Volume: 26
Issue: 3
Start Page Number: 1
End Page Number: 7
Publication Date: Sep 1989
Journal: Journal of Applied Probability
Authors:
Abstract:

The random splitting model of Lloyd and Williams is generalized, to allow first beta splitting distributions and secondly, discrete splitting distributions. Analogues of some earlier results are developed. In particular, the equality of the average value of the largest split and the probability that this is achieved at the first split continues to hold.

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