日本統計学会誌
Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602
THE DISTRIBUTION OF THE RANDOM MANHATTAN DISTANCE IN A HYPERCUBE AND ITS APPLICATIONS
Osamu Sugano
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1982 年 12 巻 2 号 p. 113-124

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The distribution of the k-dimensional random Manhattan distance in a k-dimensional unit hypercube is given and some test statistics based on it are proposed for testing k-dimensional randomness of a given sequence of numbers. Properties of the proposed statistics are investigated and it is shown by numerical experiments that our test statistics are uncorrelated with the traditional ones.

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© Japan Statistical Society
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