Statistics

1105 Submissions

[2] viXra:1105.0038 [pdf] submitted on 25 May 2011

The Numerical Generalised Least-Squares Estimator of an Unknown Constant Mean of Randon Field

Authors: T Suslo
Comments: 9 pages.

We constraint on computer the best linear unbiased generalized statistics of random field for the best linear unbiased generalized statistics of an unknown constant mean of random field and derive the numerical generalized least-squares estimator of an unknown constant mean of random field. We derive the third constraint of spatial ststistics and show that the classic generalized least-squares estimator of an unknown constant mean of the field is only an asymptotic disjunction of the numerical one.
Category: Statistics

[1] viXra:1105.0026 [pdf] submitted on 16 May 2011

Asymptotic Moments of Near Neighbor Distances for the Gaussian Distribution

Authors: Elia Liitiäinen
Comments: 37 pages, Submitted to a journal

We study the moments E[d1,kα] of the k-th nearest neighbor distance for independent identically distributed points in Rn. In the earlier literature, the case α > n has been analyzed by assuming a bounded support for the underlying density. The boundedness assumption is removed by assuming the multivariate Gaussian distribution. In this case, the nearest neighbor distances show very different behavior in comparison to earlier results. In the unbounded case, it is shown that E[d1,kα] is asymptotically proportional to M-1 logn-1-α/2M instead of M-α/n as in the previous literature.
Category: Statistics