Asymptotic Distribution of a Single Minor Component Estimator

Consistency and Asymptotic Distribution of the Theil-Sen Estimator

In this paper, we obtain the strong consistency and asymptotic distribution of the Theil-Sen estimator in simple linear regression models with arbitrary error distributions. We show that the Theil-Sen estimator is super-efficient when the error distribution is discontinuous and that its asymptotic distribution may or may not be normal when the error distribution is continuous. We give an exampl...

Asymptotic distribution of the nonparametric distribution estimator based on a martingale approach in doubly censored data

For analysis of time-to-event data with incomplete information beyond right-censoring, many generalizations of the inference of the distribution and regression model have been proposed. However, the development of martingale approaches in this area has not progressed greatly, while for right-censored data such an approach has spread widely to study the asymptotic properties of estimators and to...

AWE: Asymptotic Waveform Estimator

Asymptotic Waveform Estimator (AWE) is a waveform estimator for general RC networks which can be used to estimate signal propagation delays through VLSI interconnects. The interconnects are modeled as resistors and capacitors connected such that each node has a capacitance to ground. State variable approach is used to obtain the steady-state asymptotes and the Forward Euler approximation for th...

Asymptotic Theory of A Frequency Estimator

Traditional methods of estimating the frequency of sinusoids from noisy data include the periodogram maximization and the nonlinear least squares. It is well-known that these methods lead to efficient frequency estimates whose asymptotic standard error is of order O(n−3/2). To actually compute the estimates, some sort of iterative search procedures must be employed in view of the high nonlinear...

Asymptotic Distribution of Divergence Measure with Applications