A binomial splitting process in connection with corner parking problems

Michael Fuchs, Hsien Kuei Hwang, Yoshiaki Itoh, Hosam H. Mahmoud

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)


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 1/2 , and asymptotic to one in the unbiased case. Also, the limiting distribution does not exist as a result of the periodic fluctuations.

頁(從 - 到)971-989
期刊Journal of Applied Probability
出版狀態Published - 1 十二月 2014

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