Results 21 to 30 of about 565 (145)
Kullback’s inequality and Cramer Rao bounds for point process models [PDF]
, 2022 <p>A lower bound on the Kullback-Leibler divergence known as Kullback’s inequality can be determined with the Legendre transform of the cumulant generating function. The Cramer Rao bound can be derived from Kullback’s inequality as the inverse of the second order term in a Taylor expansion.
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ϕ-Informational Measures: Some Results and Interrelations
Entropy, 2021 In this paper, we focus on extended informational measures based on a convex function ϕ: entropies, extended Fisher information, and generalized moments.
Steeve Zozor, Jean-François Bercher
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Sensors, 2013 This paper investigates the linear separation requirements for Angle-of-Arrival (AoA) and range sensors, in order to achieve the optimal performance in estimating the position of a target from multiple and typically noisy sensor measurements.
Pubudu N. Pathirana +1 more
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Information geometric inequalities of chemical thermodynamics
Physical Review Research, 2021 We study a connection between chemical thermodynamics and information geometry. We clarify a relation between the Gibbs free energy of an ideal dilute solution and an information geometric quantity called an f divergence.
Kohei Yoshimura, Sosuke Ito
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Intelligence-Aware Batch Processing for TMA with Bearings-Only Measurements
Sensors, 2021 This paper develops a framework to track the trajectory of a target in 2D by considering a moving ownship able to measure bearing measurements. Notably, the framework allows one to incorporate additional information (e.g., obtained via intelligence) such
Gabriele Oliva +2 more
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The Cramer-Rao inequality for star bodies
Duke Mathematical Journal, 2002 Let \(K\) be a convex body in Euclidean space \(R^n\) and let \(o\) be the center of mass of \(K\). Recall that the Legendre ellipsoid \(\Gamma_2 K\) of \(K\) is the ellipsoid centered at \(o\) whose moment of inertia about any axis passing through \(o\) is equal to the corresponding moment of inertia of \(K\). In Duke Math. J.
Lutwak, Erwin +2 more
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Известия высших учебных заведений России: Радиоэлектроника, 2018 In this paper differences between Fisher Information Matrix (FIM) and inverse covariation matrix of normalized correlation estimations for white and colored noise are investigated.
I. V. Gogolev, G. Yu. Yashin
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Certain Inequalities in Information Theory and the Cramer-Rao Inequality
The Annals of Mathematical Statistics, 1954 The Cramer-Rao inequality provides, under certain regularity conditions, a lower bound for the variance of an estimator [7], [15]. Various generalizations, extensions and improvements in the bound have been made, by Barankin [1], [2], Bhattacharyya [3], Chapman and Robbins [5], Fraser and Guttman [11], Kiefer [12], and Wolfowitz [16], among others ...
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Advanced Quantum Technologies, Volume 9, Issue 7, July 2026.ABSTRACT Quantum metrology plays a central role in precision sensing, where quantum enhancement of detection performance is crucial for both fundamental studies and practical applications. In this work, we derive a tight performance bound for magnetic‐field sensing with a spin ensemble in the presence of dissipation.
Nozomu Takahashi +2 more
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Earth and Space Science, Volume 13, Issue 2, February 2026.Abstract Passive seismic ambient noise interferometry (ANI) has shown potential for lunar seismic exploration, offering the capability to detect near‐surface subsurface structures critical for future lunar mission, such as near‐surface ice deposits and lava tubes, without the need for active seismic sources.
Kai Nierula +4 more
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