This paper discusses the estimation and plug-in kriging prediction of a non-stationary spatial process assuming a smoothly varying variance function with an additive independent measurement error. A difference-based kernel smoothing estimator of the variance function and a modified likelihood estimator of the measurement error variance are used for parameter estimation. Asymptotic properties of...

Estimation of error variance in the case genomic selection is a necessary step to measure accuracy model. For selection, whole-genome high-density marker data used where number markers always larger than sample size. This makes it difficult estimate because ordinary least square estimation technique cannot be datasets parameters greater individuals (i.e., p > n). In this article, two existin...

Abstract—In this paper we derive upper bounds on the symbol error probability for a communication system that sends quadrature amplitude modulated data over a frequency-flat Rayleigh fading channel. We first derive simple error bounds in terms of a key parameter, namely, the channel estimation error variance. We move on to derive expressions for the this parameter for a pilot symbol assisted ch...

Error variance estimation plays an important role in statistical inference for high dimensional regression models. This paper concerns with error variance estimation in high dimensional sparse additive model. We study the asymptotic behavior of the traditional mean squared errors, the naive estimate of error variance, and show that it may significantly underestimate the error variance due to sp...

The paper briefly reviews the concept of the variogram and the estimation error variance in connection with certain estimation problems. This is done in the context of their development in mineralogy. The results are then placed in the context of the assessment of flowing product streams that are continuous space, continuous time stochastic processes. The work in this area, to date, is then bri...

A block-based disparity estimator is proposed that considers the non-uniform spatial distribution of the estimation error inside an image block that is mapped into another image plane using projective 2-D transformations. For this purpose, rst the error variance distribution inside the image block is analytically derived. The derived error variance distribution shows four eccentric minima. As a...