This paper investigates the axial unsteady flow of a generalized Burgers’ fluid with fractional constitutive equation in a circular micro-tube, in presence of a time-dependent pressure gradient and an electric field parallel to flow direction and a magnetic field perpendicular on the flow direction. The mathematical model used in this work is based on a time-nonlocal constitutive equation for s...

This article is concerned with the output feedback stabilization of a reaction–diffusion equation by means bounded control inputs in presence saturations. Using finite-dimensional controller composed an observer coupled state-feedback, we derive set conditions ensuring stability closed-loop plant while estimating associated domain attraction shown to be always feasible for order selected large ...

Zeger and Liang (1992) allege that regression parameter estimates from transition models tend to be smaller in absolute value than regression parameter estimates from marginal models. This statement is true in typical longitudinal data situations for the relation between the true parameters of the marginal and transition model. However, under the assumption of a transition model the Generalized...

This paper focuses on the bias of the group sequential estimate of treatment effect for correlated data using the generalized estimating equation (GEE) method and the Lan and DeMets alpha-spending function. Linear and logistic regressions are used to examine (a) the magnitude of the bias of a sequential estimate with correlated data; (b) the influence of the true correlation structure on bias. ...

Recently, in a series of papers, a method based on pseudo-values has been proposed for direct regression modeling of the survival function, the restricted mean and cumulative incidence function with right censored data. The models, once the pseudo-values have been computed, can be fit using standard generalized estimating equation software. Here we present SAS macros and R functions to compute ...

We will discuss power and sample size estimation for randomized placebo controlled studies in which the primary inference is based on the interaction of treatment and time in a linear mixed effects model (Laird and Ware, 1982). We will demonstrate how the sample size formulas of (Liu and Liang, 1997) for marginal or model fit by generalized estimating equation (GEE) (Zeger and Liang, 1986) can ...

Effective connectivity in functional neuroimaging studies is defined as the time dependent causal influence that a certain brain region of interest (ROI) exerts on another. A new method of structural equation modeling (SEM) is proposed for analyzing common patterns among multiple subjects’ effective connectivity. The proposed method, called Dynamic GSCANO (Generalized Structured Canonical Corre...

we show that  higher derivations on a hilbert$c^{*}-$module associated with the cauchy functional equation satisfying generalized hyers--ulam stability.

The Jacobi equation in pseudo-Riemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into account; that is, when the geodesics are neighboring but their relative velocity is arbitrary the corresponding geodesic deviation equation is the generalized Jacobi equation....