Discord in the estimated gene trees among loci can be attributed to both the process of mutation and incomplete lineage sorting. Effectively modeling these two sources of variation--mutational and coalescent variance--provides two distinct challenges for phylogenetic studies. Despite extensive investigation on mutational models for gene-tree estimation over the past two decades and recent atten...

Correct ranking of animals in across-country genetic evaluation requires careful design of both, the model for breeding value estimation and the adjustment for heterogeneous variance. The Nordic across-country genetic evaluation for yield traits of Danish, Finnish and Swedish red dairy cattle is based on a multiple-trait random regression test-day model, which considers observations from differ...

Microarray is a powerful tool for genome-wide gene expression analysis. In microarray expression data, often mean and variance have certain relationships. We present a non-parametric mean-variance smoothing method (NPMVS) to analyze differentially expressed genes. In this method, a nonlinear smoothing curve is fitted to estimate the relationship between mean and variance. Inference is then made...

We consider a random-design regression model with vector-valued observations and develop nonparametric estimation of smooth conditional moment functions in the predictor variable. This includes estimation of higher order mixed moments and also functionals of the moments, such as conditional covariance, correlation, variance, and skewness functions. Our asymptotic analysis targets the limit dist...

In the paper, a new method of blind estimation of noise variance in a single highly textured image is proposed. An input image is divided into 8x8 blocks and discrete cosine transform (DCT) is performed for each block. A part of 64 DCT coefficients with lowest energy calculated through all blocks is selected for further analysis. For the DCT coefficients, a robust estimate of noise variance is ...

In this paper, we present a new visual attention system which is able to detect attentive areas in the images with nonuniform resolution. Since, one of the goals of the visual attention systems is simulating of human perception, and in human visual system the foveated images processed, therefore, visual attention systems should be able to identify the saliency region to these images. We test th...