Total nearest neighbour distance and other measures of clumping on the circle
Başlık:
Total nearest neighbour distance and other measures of clumping on the circle
Yazar:
Donnelly, Kevin, author.
ISBN:
9780438057524
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (95 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 76-08C.
Advisors: D. M. Titterington.
Özet:
Chapter 1. Experiments on the settling in circular dishes of Corophium bonnellii, a marine invertebrate which lives in tubes, were analysed to determine whether the animals prefer to be clumped, settle randomly (as a Poisson process), or are dispersed Tests based on various statistics, such as total nearest neighbour distance, are inconclusive, but suggest clumping rather than dispersion. However, the sample distribution function of spacings shows that the most favoured situation is for the tubes to be close together but not overlapping. An analysis was made of the factors affecting tube length. This was positively correlated with animal length, was greater for tubes-on the rim of the dish rather than the interior, and was greater for curved than for straight tubes. CHAPTER 2. The distribution of the 'total nearest neighbour distance' statistic for n independent random points on the circumference of a circle was studied. The mean and variance were found and the statistic was proved to be asymptotically normal. A procedure was found for obtaining the exact distribution, and was carried through for n = 2,...8. Graphs and tables of the distribution are given for n = 2....8. CHAPTER 3. The results of simulation of the distribution of another statistic, 'total squared nearest neighbour distance', for n random points inside a square or circle are presented. These show the distribution to be well approximated by a Gamma distribution.
Notlar:
School code: 0547
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
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XX(684611.1) | 684611-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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