DETECTING RANDOMNESS IN SPATIAL POINT PATTERNS: A "STAT-GEOMETRICAL" ALTERNATIVE
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dc.contributor.author | Lucio P.S. | |
dc.contributor.author | de Brito N.L.C. | |
dc.date.accessioned | 2022-09-21T01:18:33Z | |
dc.date.available | 2022-09-21T01:18:33Z | |
dc.date.issued | 2004 | |
dc.identifier | https://elibrary.ru/item.asp?id=5975834 | |
dc.identifier.citation | Mathematical Geology, 2004, 36, 1, 79-99 | |
dc.identifier.issn | 0882-8121 | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/38666 | |
dc.description.abstract | There are several methods to test the hypothesis of complete spatial randomness of point patterns. This work involves a new geometrical-based strategy to detect spatial arrangements, which takes into account both Euclidean and angular distances, defining a triangle-based network. An asymptotic test based on the Kolmogorov-Smirnov statistic is proposed to accommodate this situation. To assess the usefulness of this method (Stat-Geo), simulations based on Monte Carlo procedures, conducted using SPLUS™, give satisfactory results with a high degree of accuracy. As expected, the new technique proposed in this paper, performs better than traditional ones like distance-based or angle-based, since more information (combining distance and angle) is introduced in the decision-making system. This approach is a very simple way to offer high efficiency results for a low computational cost. Furthermore, this alternative method allows barycentric interpolation of the unsampled points into a two-dimensional simplex (triangular) framework. | |
dc.subject | SPATIAL PATTERN ANALYSIS | |
dc.subject | SPATIAL CLUSTERS | |
dc.subject | TRIANGULATION | |
dc.subject | BARYCENTRIC INTERPOLATION | |
dc.subject | KOLMOGOROV-SMIRNOV TEST | |
dc.title | DETECTING RANDOMNESS IN SPATIAL POINT PATTERNS: A "STAT-GEOMETRICAL" ALTERNATIVE | |
dc.type | Статья |
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