Cramer-Rao type integral inequalities where developed for loss functions w(x) which are bounded below by functions of the type g(x) = c|x|l, l > 1. As applications, we obtain lower bounds of Hajek-LeCam type for locally asymptotic minimax error for such loss functions.

*Correspondence: Ashok K. Sundramoorthy and Sundaram Gunasekaran, Department of Biological Systems Engineering, University of Wisconsin-Madison, 460 Henry Mall, Madison, WI 53706, USA e-mail: [email protected], [email protected]; [email protected]; Woo-Jin Chang, Department of Mechanical Engineering, University of Wisconsin-Milwaukee, 3200 N. Cramer Street, Milwaukee, WI 53211,USA e-ma...

Introduction In 1947 Reuling & Cramer reported that intrathecal penicillin could cause convulsions, but as penicillin crosses the blood-brain barrier with difficulty, convulsions are not expected with intramuscular or intravenous administration. In recent years, however, penicillin has been given in large amounts intravenously for the treatment of certain bacterial infections and neurotoxicity ...

In this paper iterative blind estimation of the complex amplitudes of the users is considered. A Gaussian mixture model formulation of the problem is introduced and Expectation Maximization (EM) algorithm for estimation of parameters for Gaussian mixture observation model is used. Simulation results compare the performance of the proposed algorithm with the Cramer-Rao bound.

..........................................................................................................................xiv STATISTICAL ERROR ANALYSIS OF A DOA ESTIMATOR FOR A PCL SYSTEM USING THE CRAMER-RAO BOUND THEOREM.................................... 1 1 . INTRODUCTION........................................................................................................ 1 1.1 Backgrou...

This correspondence first shows that the Cramer-Rao lower bound (CRLB) derivations in the above paper are incorrect. In addition, contrary to the claims in the above paper, the assumptions of perfect timing offset estimation and matched-filtering at the relays affect the generality of the analytical results and cannot be justified assumption.

The question of constructing a hybrid signcryption scheme with outside security was considered by Dent [7]. That paper also demonstrated that the basic hybrid construction formalised by Cramer and Shoup [5, 9] is incapable of producing a signcryption scheme with insider security. This paper provides a paradigm for constructing signcryption schemes with insider security based on the ideas of hyb...

In the above-mentioned paper a Cramer-Rao bound was derived for the performance of a blind channel estimation algorithm. In this paper an error in the bound is pointed out and corrected. It is observed here that the performance of the said algorithm does not achieve the Cramer-Rao bound. In the above paper [1], important work has been done to analyze the algorithm in [2] which solves a blind ch...

It is known that if a predictable nondecreasing process generates a bounded potential, then its final value satisfies the Garsia inequality. We prove the converse, that is, a random variable satisfying the Garsia inequality generates a bounded potential. We also propose some useful relations between the Garsia inequality and the Cramer conditions, and different ways how to construct a potential.