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December 2014 A binomial splitting process in connection with corner parking problems
Michael Fuchs, Hsien-Kuei Hwang, Yoshiaki Itoh, Hosam H. Mahmoud
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J. Appl. Probab. 51(4): 971-989 (December 2014).

Abstract

This paper studies a special type of binomial splitting process. Such a process can be used to model a high dimensional corner parking problem as well as determining the depth of random PATRICIA (practical algorithm to retrieve information coded in alphanumeric) tries, which are a special class of digital tree data structures. The latter also has natural interpretations in terms of distinct values in independent and identically distributed geometric random variables and the occupancy problem in urn models. The corresponding distribution is marked by a logarithmic mean and a bounded variance, which is oscillating, if the binomial parameter p is not equal to ½, and asymptotic to one in the unbiased case. Also, the limiting distribution does not exist as a result of the periodic fluctuations.

Citation

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Michael Fuchs. Hsien-Kuei Hwang. Yoshiaki Itoh. Hosam H. Mahmoud. "A binomial splitting process in connection with corner parking problems." J. Appl. Probab. 51 (4) 971 - 989, December 2014.

Information

Published: December 2014
First available in Project Euclid: 20 January 2015

zbMATH: 1321.60012
MathSciNet: MR3301283

Subjects:
Primary: 60C05, 68W40
Secondary: 60F05

Rights: Copyright © 2014 Applied Probability Trust

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Vol.51 • No. 4 • December 2014
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