193,807 research outputs found
Robust Estimation of Optical Phase Varying as a Continuous Resonant Process
It is well-known that adaptive homodyne estimation of continuously varying
optical phase provides superior accuracy in the phase estimate as compared to
adaptive or non-adaptive static estimation. However, most phase estimation
schemes rely on precise knowledge of the underlying parameters of the system
under measurement, and performance deteriorates significantly with changes in
these parameters; hence it is desired to develop robust estimation techniques
immune to such uncertainties. In related works, we have already shown how
adaptive homodyne estimation can be made robust to uncertainty in an underlying
parameter of the phase varying as a simplistic Ornstein-Uhlenbeck stochastic
noise process. Here, we demonstrate robust phase estimation for a more
complicated resonant noise process using a guaranteed cost robust filter.Comment: 5 pages, 10 figures, Proceedings of the 2013 Multi-Conference on
Systems and Contro
Robust and Efficient Adaptive Estimation of Binary-Choice Regression Models
The binary-choice regression models such as probit and logit are used to describe the effect of explanatory variables on a binary response vari- able. Typically estimated by the maximum likelihood method, estimates are very sensitive to deviations from a model, such as heteroscedastic- ity and data contamination. At the same time, the traditional robust (high-breakdown point) methods such as the maximum trimmed like- lihood are not applicable since, by trimming observations, they induce the separation of data and non-identification of parameter estimates. To provide a robust estimation method for binary-choice regression, we con- sider a maximum symmetrically-trimmed likelihood estimator (MSTLE) and design a parameter-free adaptive procedure for choosing the amount of trimming. The proposed adaptive MSTLE preserves the robust prop- erties of the original MSTLE, significantly improves the infinite-sample behavior of MSTLE, and additionally, ensures asymptotic efficiency of the estimator under no contamination. The results concerning the trim- ming identification, robust properties, and asymptotic distribution of the proposed method are accompanied by simulation experiments and an application documenting the infinite-sample behavior of some existing and the proposed methods.asymptotic efficiency;binary-choice regression;breakdown point;maximum likelihood estimation;robust estimation;trimming
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