Bivariate clustered (correlated) data often encountered in epidemiological and clinical research are routinely analyzed under a linear mixed model (LMM) framework with underlying normality assumptions of the random effects and within-subject errors. However, such normality assumptions might be questionable if the data set particularly exhibits skewness and heavy tails. Using a Bayesian paradigm...

Web Appendix A. Multivariate Skew Distributions Different versions of the multivariate skew–normal(SN) and skew-t (ST) distributions have been considered and used in the literature (Arellano-Valle and Genton, 2005; Arellano-Valle et al, 2007; Azzalini and Capitanio, 2003; Sahu et al, 2003 and among others). A new class of distributions by introducing skewness in multivariate elliptically distri...

The skew t-distribution is a flexible model able to deal with data whose distribution show deviations from normality. It includes both the skew normal and the normal distributions as special cases. Inference for the skew t-model becomes problematic in these cases because the expected information matrix is singular and the parameter corresponding to the degrees of freedom takes a value at the bo...

‎In this paper‎, ‎the nonlinear regression models when the model errors follow a slash‎ ‎skew-elliptical distribution‎, ‎are considered‎. ‎In the special case‎ ‎of nonlinear regression models under slash skew-t distribution‎, ‎we‎ ‎present some distributional properties‎, ‎and to estimate their‎ ‎parameters‎, ‎w...

We prove that every C closed curve immersed on an ellipsoid has a pair of parallel tangent lines. This establishes the optimal regularity for a phenomenon first observed by B. Segre. Our proof uses an approximation argument with the aid of an estimate for the size of loops in the tangential spherical image of a spherical curve. A skew loop is a C closed curve without parallel tangent lines imme...

In this paper we introduce the notion of degree for C 1 –cocycles over irrational rotations on the circle with values in the group SU (2). It is shown that if a C 1 –cocycle ϕ : T → SU (2) over an irrational rotation by α has nonzero degree, then the skew product T × SU (2) (x, g) → (x + α, g ϕ(x)) ∈ T × SU (2) is not ergodic and the group of essential values of ϕ is equal to the maximal Abelia...

Pancreatic carcinoma is a very aggressive disease with dismal prognosis. Although evidences for tumor-specific T cell immunity exist, factors related to tumor microenvironment and the presence of immunosuppressive cytokines in patients' sera have been related to its aggressive behavior. Carcinoembryonic Ag (CEA) is overexpressed in 80-90% of pancreatic carcinomas and contains epitopes recognize...

2011 Transistor aging effects in Nano-scale CMOS result in transistor performance degradation over the device lifetime. The primary physical mechanism behind transistor aging is Bias Temperature Instability (BTI). Such transistor aging results in circuit performance degradation over time. In this research we are interested in analyzing the impact of the BTI aging effect on clock skew in on-chip...

In this paper we introduce the notion of degree for C 1 –cocycles over irrational rotations on the circle with values in the group SU (2). It is shown that if a C 1 – cocycle ϕ : T → SU (2) over an irrational rotation by α has nonzero degree, then the skew product T × SU (2) ∋ (x, g) → (x + α, g ϕ(x)) ∈ T × SU (2) is not ergodic and the group of essential values of ϕ is equal to the maximal Abe...