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Stats, Volume 3, Issue 1

2020 March - 7 articles

Cover Story: This article proposes evaluating the distribution of distances between points randomly distributed in a compact set, such as point events generated by a homogeneous Poisson process. The distribution of distances between elements is important in situations where the interaction between elements depends on distance. It involves many disciplines, such as statistical physics, biology, ecology, geography, and networking. After a review of solutions proposed in the literature, this article presents a modern, general, and unified resolution method. The method is then applied to typical compact sets: segments, rectangles, disks, spheres, and hyperspheres. The article also highlights various applications of these results, for example, that variance of distances in hyperspheres tends to zero when the space dimension increases.View this paper.
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Articles (7)

  • Article
  • Open Access
23 Citations
5,674 Views
16 Pages

23 March 2020

Interpolation is a procedure that depends on the spatial and/or statistical properties of the analysed variable(s). It is a particularly challenging task for small datasets, such as in those with less than 20 points of data. This problem is common in...

  • Article
  • Open Access
4 Citations
4,429 Views
12 Pages

12 March 2020

In sequential tests, typically a (pairwise) multiple comparison procedure (MCP) is performed after an omnibus test (an overall equality test). In general, when an omnibus test (e.g., overall equality of multiple proportions test) is rejected, then we...

  • Article
  • Open Access
30 Citations
5,889 Views
16 Pages

10 March 2020

Ridge regression is a popular method to solve the multicollinearity problem for both linear and non-linear regression models. This paper studied forty different ridge regression t-type tests of the individual coefficients of a linear regression model...

  • Article
  • Open Access
2 Citations
3,834 Views
6 Pages

5 February 2020

We consider testing equivalence to Hardy–Weinberg Equilibrium in case of multiple alleles. Two different test statistics are proposed for this test problem. The asymptotic distribution of the test statistics is derived. The corresponding tests...

  • Article
  • Open Access
7 Citations
3,720 Views
16 Pages

6 January 2020

The widely used fitting method of least squares is neither unique nor does it provide the most accurate results. Other fitting methods exist which differ on the metric norm can be used for expressing the total deviations between the given data and th...

  • Article
  • Open Access
25 Citations
4,704 Views
15 Pages

26 December 2019

In this article, we propose a review of studies evaluating the distribution of distances between elements of a random set independently and uniformly distributed over a region of space in a normed R -vector space (for example, point events gener...

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Stats - ISSN 2571-905X