Abbreviations: FN: Fieller-type Intervals Applied on The Observed Proportions; BM: Binomial MOVER-R-Wilson Method After Summing-Up Observed Counts Across Replications; LOD: Asymptotic Method on The Log-Scale, Accounting for Overdispersion via Residual Variation; FOD: Fieller-Bailey-Type Interval Accounting For Over dispersion Via Residual Variance; LBB: Delta Method on The Log-Scale Under The B...

The pull-in voltage instability associated with a simple MEMS device, consisting of a thin dielectric elastic membrane supported above a rigid conducting ground plate, is analyzed. The upper surface of the membrane is coated with a thin conducting film. In a certain asymptotic limit representing a thin device, the mathematical model consists of a nonlinear partial differential equation for the ...

My research interests include Riemann-Hilbert approach to nonlinear integrable systems and WKB approximations with numerical studies of turning points and Stokes lines. These two areas have much in common, including numerical and topological analysis of level curves. My dissertation is on the second transition (second break) in the asymptotic solutions of the semiclassical focusing Nonlinear Sc...

In this paper, we study a partially linear varying-coefficient errors-invariables (EV) model under additional restricted condition. Both of the parametric and nonparametric components are measured with additive errors. The restricted estimators of parametric and nonparametric components are established based on modified profile least-squares method and local correction method, and their asympto...

We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to construct new solutions having an infinite number of arbitrarily prescribed vortex points. Furthermore, we obtain the precise asymptotic profile of the solutions in the form of an approximate superposition rule, up to an e...

This paper considers estimation of parameters for high-dimensional time series with the presence of many nuisance parameters. In particular we are interested in data consisting of p time series of length n, with p to be as large or even larger than n. Here we consider the composite-likelihood estimation and the profile quasi-likelihood estimation. The asymptotic properties of these methodologie...

In earlier work [2], we derived formal matched asymptotic profiles for families of Ricci flow solutions developing Type-II degenerate neckpinches. In the present work, we prove that there do exist Ricci flow solutions that develop singularities modeled on each such profile. In particular, we show that for each positive integer k ≥ 3, there exist compact solutions in all dimensions m ≥ 3 that be...

Looking at wear of incomplete contacts in partial slip we start from an asymptotic description the contact tractions edges. We introduce distributed dislocations along zone to account for profile reduction due and find long-term time asymptote where is wholly stuck. The resulting stress field used crack tip intensity factors short edge cracks, which are useful predicting nucleation threshold.

We present a numerical study of a derivative nonlinear Schrödinger equation with a general power nonlinearity, |ψ| ψx. In the L-supercritical regime, σ > 1, our simulations indicate that there is a finite time singularity. We obtain a precise description of the local structure of the solution in terms of blowup rate and asymptotic profile, in a form similar to that of the nonlinear Schrödinger ...

For a sequence of blow up solutions of the Yamabe equation on non-locally confonformally flat compact Riemannian manifolds of dimension 10 or 11, we establish sharp estimates on its asymptotic profile near blow up points as well as sharp decay estimates of the Weyl tensor and its covariant derivatives at blow up points. If the Positive Mass Theorem held in dimensions 10 and 11, these estimates ...