In this paper we apply the idea of the WKB method to derive an effective single lognormal approximation for the probability distribution of the sum of two correlated lognormal variables. An approximate probability distribution of the sum is determined in closed form, and illustrative numerical examples are presented to demonstrate the validity and accuracy of the approximate distribution. Our a...

A new kriging predictor is proposed. It gives a better performance over the existing predictor when the constant mean assumption in the kriging model is unreasonable. Moreover, the new predictor seems to be robust to the misspecifications in the correlation parameters. The advantages of the new predictor is demonstrated using some examples from the computer experiments literature.

" Kriging " (after the South African mining engineer Danie Krige) is a term used for a family of methods for minimum error variance estimation. Consider a linear estimatê z 0 = ˆ z(r 0) at a location r 0 based on N measurements z = [z(r 1),. .. , z(r N)] T = [z 1 ,. .. , z N ] T ˆ z 0 = w 0 + N i=1 w i z i = w 0 + w T z, (1) where w i are the weights applied to z i. We consider z i as particula...

BACKGROUND Ultraviolet B (UV-B) radiation plays a multifaceted role in human health, inducing DNA damage and representing the primary source of vitamin D for most humans; however, current U.S. UV exposure models are limited in spatial, temporal, and/or spectral resolution. Area-to-point (ATP) residual kriging is a geostatistical method that can be used to create a spatiotemporal exposure model ...

Introduction Conclusions References

Performance of computers is usually measured by using benchmark suites. There has been a long debate among computer architects on how to aggregate the individual program results to present a summary of performance over the entire suite. Many researchers have criticised the use of Geometric Mean (GM) but SPEC continues to use it to report performance. Mashey [7] has strongly supported the use of...

In this paper, we applied the support vector machine (SVM) to the spatial interpolation of the multi-year average annual precipitation in the Three Gorges Region basin. By combining it with the inverse distance weighting and ordinary kriging method, we constructed the SVM residual inverse distance weighting, as well as the SVM residual kriging precipitation interpolation model and compared them...