Existing research on mixtures of regression models are limited to directly observed predictors. The estimation of mixtures of regression for measurement error data imposes challenges for statisticians. For linear regression models with measurement error data, the naive ordinary least squares method, which directly substitutes the observed surrogates for the unobserved error-prone variables, yie...

We consider generalized partially linear measurement error models when the linear covariate is measured with additive errors. Estimators of parameter and nonparametric function obtained by local liner regression with kernel weight, the SIMEX technique, and generalized estimating equation are proposed. The asymptotic normality of the estimate of the parameter and the asymptotics of the estimate ...

one of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. in this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. we also devote to characterizing bijective morphisms on quantum effects leaving the witness...

We consider the problem of linear regression under measurement constraints and derive computationally feasible subsampling strategies to sample a small portion of design (data) points in a linear regression model y = Xβ + ε. The derived subsampling algorithms are minimax optimal for estimating the regression coefficients β under the fixed design setting, up to a small (1 + ) relative factor. Ex...

Time series data are often subject to measurement error, usually the result of needing to estimate the variable of interest. While it is often reasonable to assume the measurement error is additive, that is, the estimator is conditionally unbiased for the missing true value, the measurement error variances often vary as a result of changes in the population/process over time and/or changes in s...

This thesis describes the first realization and initial measurements of a linear array of seven quantum dots. The device was fabricated on a high mobility GaAs/AlGaAs heterostructure. Electron beam lithography was used to pattern critical features of the device, and 70 nm resolution was achieved. A 3He probe was used to measure the device at 300 mK. The design of the device allowed individual c...

We present measurements of Stark interference in the 6S0 → 6P1 transition in Hg, a process whereby a static electric field E mixes magnetic dipole and electric quadrupole couplings into an electric dipole transition, leading to E-linear energy shifts similar to those produced by a permanent atomic electric dipole moment (EDM). The measured interference amplitude, aSI = (aM1 + aE2) = (5.8 ± 1.5)...