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In this communication, we describe some interrelations between generalized $q$-entropies and a generalized version of Fisher information. In information theory, the de Bruijn identity links the Fisher...
Maximum likelihood estimation is a popular method in statistical inference. As a way of assessing the accuracy of the maximum likelihood estimate (MLE), the calculation of the covariance matrix of the...
The determinants (|rho^{PT}|) of the partial transposes of 4 x 4 density matrices (rho) have possible values in the interval [-1/16, 1/256], and are nonnegative if and only if rho is separable. In arX...
Hallin and Ley (2012) investigate and fully characterize the Fisher singularity phenomenon in univariate and multivariate families of skew-symmetric distributions. This paper proposes a refined analys...
Mimicking the maximum likelihood estimator, we construct first order Cramer-Rao efficient and explicitly computable estimators for the scale parameterσ2 in the model Zi,n =σn−βXi+Yi, i = 1, . . ...
Skew-symmetric densities recently received much attention in the literature, giving rise to in-creasingly general families of univariate and multivariate skewed densities. Most of those families,howev...
An interpretation of the Moore-Penrose generalized inverse of a singular Fisher information matrix (FIM) is presented in this paper, from the perspective of Cramer-Rao bound (CRB). CRB is a lower boun...
This paper considers the three-parameter exponentiated Weibull family under type II censoring. It first graphically illustrates the shape property of the hazard function. Then, it proposes a simple al...
In the paper we prove that the n-th directional derivative of a pstable density f (x) in the direction a can be estimated by where 0 < u < 1, and C depends also on geometrical properties of the Lkv...
Let A1, ..., AN be complex selfadjoint matrices and let  be a density matrix. The Robertson uncertainty principledet {Cov(Ah,Aj)} ≥ det−i2Tr([Ah,Aj ])ff gives a bound for the quantum...
Let A1, ...,AN be complex self-adjoint matrices and let  be a density matrix. The Robertson uncertainty principle det {Cov(Ah,Aj)} ≥ det−i2Tr([Ah,Aj ])ff gives a bound for the quantu...
In the paper [16] Luo proved an inequality relating the Wigner-Yanase information and the SLD-information. In this paper we prove that Luo’s inequality is a particular case of a general inequality wh...

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