This paper deals with a theoretical approach to assessing the effects of parameter estimation uncertainty both on Kriging estimates and on their estimated error variance. Although a comprehensive treatment of parameter estimation uncertainty is covered by full Bayesian Kriging at the cost of extensive numerical integration, the proposed approach has a wide field of application, given its relati...

The spatial distribution characteristics of six heavy metals and metalloid in soil of Zhuji Lipu copper mining area, Zhejiang Province, was studied by using geostatistics approaches combined with GIS. These elements included Pb, As, Cr, Cu, Zn and Ni. The statistical analyses showed that concentrations of these elements were lognormal distribution. Concentrations of Pb, As, Cu, Zn and Ni were s...

Abstract: We consider the use of randomised forward models and log-likelihoods within the Bayesian approach to inverse problems. Such random approximations to the exact forward model or log-likelihood arise naturally when a computationally expensive model is approximated using a cheaper stochastic surrogate, as in Gaussian process emulation (kriging), or in the field of probabilistic numerical ...

Information about reservoir properties usually comes from two sources: seismic data and well logs. The former provide an indirect, low resolution image of rock velocity and density. The latter provide direct, high resolution (but laterally sparse) sampling of these and other rock parameters. An important problem in reservoir characterization is how best to combine these data sets, allowing the ...

Instead of using indicator kriging to estimate discrete versions of cumulative distribution functions, with its order-relation problems, we suggest a compositional approach to the estimation of probability functions. A preliminary Bayesian treatment is needed to obtain estimates of the pdf (without zeroes) at sampled locations, and afterwards an isometric log-ratio transform provides unbounded ...

in this paper, the effects of scintillation phenomena on bit error rate (ber) and signal to noise ratio (snr), which are essential characteristics in free space optical (fso) communication system, are studied. until now various methods have been introduced to decrease ber and increase the link's reliability. optimizing snr is one of the fundamental methods to decrease ber value. intensity fluct...

background : to identify correlates related to retention time of a cohort study of the opioid-dependent patients participating in the methadone maintenance treatment (mmt) program offered by a major addiction treatment clinic in tehran, iran between april 2007 and march 2011. methods : several parametric survival models assuming weibull, log-normal and log-logistic distributions were compared t...

In environmental sciences it is relatively common to encounter certain problems that require specific experimental data treatment by means of spatial estimation methods, for example mapping the spatial distribution of a contaminant concentration exceeding a limit level, an ‘alarm problem’. In such situations the real problem is not directly related to the estimation of the variable at any parti...

The results of R dynamical random surface model (2-dimensional quantum gravity with a R term) are applied to explain the personal income distribution. A scale invariance exists if there is not the R term in the action. The R term provides a typical scale and breaks the scale invariance explicitly in the low and middle income range. A new distribution, Weibull distribution, is deduced from the a...