Optimal Estimation of the Climatological Mean

Climatological mean distribution of specific entropy in the oceans

Optimal variance estimation without estimating the mean function

We study the least squares estimator in the residual variance estimation context. We show that the mean squared differences of paired observations are asymptotically normally distributed. We further establish that, by regressing the mean squared differences of these paired observations on the squared distances between paired covariates via a simple least squares procedure, the resulting varianc...

Estimation of Mean Estimation of Mean Glandular Dose in Mammography Examination in some of Radiology Centers in Tehran city

Introduction: the objectives of this research were determination of Mean Glandular Dose in film- screen and digital mammography examinations, estimation of accumulated effective dose in some of mammography centers in Tehran city and estimating cancer risk due to these examinations. Materials and Methods: the clinical data were collected from the 1318 <...

Asymptotically optimal private estimation under mean square loss

We consider the minimax estimation problem of a discrete distribution with support size k under locally differential privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the distribution of the raw samples from the privatized samples. A positive number ǫ measures the privacy level of a privatization scheme. In our previous work (arXiv:...

Mean square error optimal weighting for multitaper cepstrum estimation

The aim of this paper is to find a multitaper-based spectrum estimator that is mean square error optimal for cepstrum coefficient estimation. The multitaper spectrum estimator consists of windowed periodograms which are weighted together, where the weights are optimized using the Taylor expansion of the log-spectrum variance and a novel approximation for the log-spectrum bias. A thorough discus...