The DNA strands in most prokaryotic genomes experience strand-biased spontaneous mutation, especially C-->T mutations produced by deamination that occur preferentially in the leading strand. This has often been invoked to account for the asymmetry in nucleotide composition, typically measured by GC skew, between the leading and the lagging strand. Casting such strand asymmetry in the framework ...

We follow the general recipe for constructing commutative families of W-operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), order to obtain a difference operator example that gives rise (q,t)-deformation earlier studied models. As before, key role is played by an appropriate deformation cut-and-join rotation operator. outline its expression both ter...

The problem of measuring the disparity of a particular probability density function from a normal one has been addressed in several recent studies. The most used technique to deal with the problem has been exact expressions using information measures over particular distributions. In this paper, we consider a class of asymmetric distributions with a normal kernel, called Generalized Skew-Normal...

the  main  assumptions  in  liner  mixed  model  are normality  and  independency  of  random  effect component.   unfortunately,   these   two  assumptions   might   be  unrealistic   in  some   situations. therefore, in this paper, we will discuss about the analysis of bayesian analysis of non-normal and non-independent mixed model using skew-normal/independent distributions, and finally, thi...

For a class of skew-normal matrix distributions, the density function, moment generating function and independent conditions are obtained. The noncentral skew Wishart distribution is defined and the necessary and sufficient conditions under which a quadratic form is noncentral skew Wishart distributed random matrix are established. A new version of Cochran’s theorem is given. For illustration, ...