In this paper we consider a general setting of skew-symmetric distribution which was constructed by Azzalini (1985), and its properties are presented. A suitable empirical estimator for a skew-symmetric distribution is proposed. In data analysis, by comparing this empirical model with the estimated skew-normal distribution, we show that the proposed empirical model has a better fit in den...

We study discrete Schrödinger operators on l2(Z) with γ-Lipschitz potentials defined on higher dimensional torus (Td, T ), where T is a shift or skew-shift with frequency α. We show that under the positive Lyapunov exponent condition, measure of the spectrum at irrational frequency is the limit of measures of spectra at rational approximations.

A b s t r a c t. The unbiased estimator of risk of the orthogonally invariant es-timator of the skew-symmetric normal mean matrix is obtained, and a class of minimax estimators and their order-preserving modification are proposed. The estimators have applications in paired comparisons model. A Monte Carlo study to compare the risks of the estimators is given.

We present the solution of the Boltzmann equation with an applied electric and magnetic field including skew scattering in the collision operator. The observed unusual temperature dependences of the Hall resistance and the magnetoresistance as well as the frequency dependence of the Hall resistance in the normal state of copper oxide metals is shown to arise if the skew scattering rate diverges...

Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew inverseLaurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz ringsof inverse ske...

The 5'-phosphoinositol phosphatase SHIP negatively regulates signaling pathways triggered by antigen, cytokine and Fc receptors in both lymphocytes and myeloid cells. Mice with germ-line (null) deletion of SHIP develop a myeloproliferative-like syndrome that causes early lethality. Lymphocyte anomalies have been observed in SHIP-null mice, but it is unclear whether they are due to an intrinsic ...

Asymptotic robustness against misspecification of the underlying distribution for the polychoric correlation estimation is studied. The asymptotic normality of the pseudo-maximum likelihood estimator is derived using the two-step estimation procedure. The t distribution assumption and the skew-normal distribution assumption are used as alternatives to the normal distribution assumption in a num...

In recent work of T. Cassidy and the author, a notion of complete intersection was defined for (non-commutative) regular skew polynomial rings, defining it using both algebraic and geometric tools, where the commutative definition is a special case. In this article, we extend the definition to a larger class of algebras that contains regular graded skew Clifford algebras, the coordinate ring of...

Analysis of the whole set of human genes reveals that most of them present TA and GC skews, that these biases are correlated to each other and are specific to gene sequences, exhibiting sharp transitions between transcribed and non-transcribed regions. The GC asymmetries cannot be explained solely by a model previously proposed for (G+T) skew based on transitions measured in a small set of huma...