This note provides an unbiased estimator for the absolute S-Gini and an almost unbiased estimator for the relative S-Gini for integer parameter values. Simulations indicate that these estimators perform considerably better then the usual estimators, especially for small sample sizes. 1 The absolute and relative S-gini indices Assume that income is distributed according to a continuous and diffe...

This paper deals with the optimal design of quadratic NonData-Aided (NDA) openand closed-loop estimators. The new approach supplies the minimumvariance, unbiasedNDA quadratic estimators, without the need of assuming a given statistics for the nuisance parameters, that is, avoiding the common adoption of the gaussian assumption, which does not apply in digital communications. Alternatively, if t...

We present a highly accurate least-squares (LS) alternative to the theoretically optimal maximum likelihood (ML) estimator for homographies between two images. Unlike ML, our estimator is non-iterative and yields a solution even in the presence of large noise. By rigorous error analysis, we derive a “hyperLS” estimator which is unbiased up to second order noise terms. We also introduce a comput...

Many continuous control tasks have bounded action spaces and clip out-of-bound actions before execution. Policy gradient methods often optimize policies as if actions were not clipped. We propose clipped action policy gradient (CAPG) as an alternative policy gradient estimator that exploits the knowledge of actions being clipped to reduce the variance in estimation. We prove that CAPG is unbias...

While the statistical properties of the CMB anisotropies are a powerful means to discriminate amongst the possible cosmological scenarios, actually measuring non-Gaussianity in the data is a very difficult task1. The typically small signal should be compared to the noise and the key quantity is the signal to noise ratio. The noise creeps into the dataset through instrumental errors, foregrounds...

In this paper a Fuzzy Tuned extended H∞ (FTH∞) estimator is designed and implemented in an Attitude Heading Reference System (AHRS), which is specialized to vehicular applications. In AHRS, 3axis accelerometers are allotted to measure the earth’s gravity field vector and then to update the roll and pitch angles obtained from gyros’ dynamic. Therefore, the AHRS on an accelerated vehicle will be ...

We show how to construct the best linear unbiased predictor (BLUP) for the continuation of a curve in a spline-function model. We assume that the entire curve is drawn from some smooth random process and that the curve is given up to some cut point. We demonstrate how to compute the BLUP efficiently. Confidence bands for the BLUP are discussed. Finally, we apply the proposed BLUP to real-world ...