Results 51 to 60 of about 565 (145)

A unified framework for classical and quantum uncertainty relations using stochastic representations

Communications Physics
Thermodynamic uncertainty relations (TURs) and kinetic uncertainty relations (KURs) provide tradeoff relations between measurement fluctuation and thermodynamic cost, such as entropy production and activity.
Euijoon Kwon, Jae Sung Lee
doaj   +1 more source

When the Cramér-Rao Inequality Provides No Information [PDF]

Communications in Information and Systems, 2007
10 pages, 1 figure, to appear in Communications in Information and ...
openaire   +3 more sources

Properties of discrete Fisher information: Cramer-Rao-type and log-Sobolev-type inequalities. [PDF]

CoRR, 2019
The variance and the entropy power of a continuous random variable are bounded from below by the reciprocal of its Fisher information through the Cram\'{e}r-Rao bound and the Stam's inequality respectively. In this note, we introduce the Fisher information for discrete random variables and derive the discrete Cram\'{e}r-Rao-type bound and the discrete ...
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Cramer-Rao Inequality for Fisher Information and Zeros of the Wavefunction

, 2019
The Cramer-Rao inequality (which is based on a Cauchy-Schwarz result for inner products of vectors) links spatial variance to Fisher information. The inner products are integrals in this case, and it seems the entire bound state space is utilised and use is made of a vanishing wavefunction at endpoints.
openaire   +1 more source

Lightweight event camera inertial fusion pose estimation with Cramer Rao lower bound analysis

Discover Computing
To address the limitations of traditional frame-based PnP algorithms—such as motion blur, limited dynamic range, and high computational complexity under high-speed motion and extreme illumination changes—this paper proposes the Event-PNP algorithm ...
Yue Zhou, Shiwei Chu
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Poster Sessions

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Precision in peak parameter estimation for Gaussian and Lorentzian profiles: Guidelines for instrument optimization

Physical Review Research
The analysis of signal data plays a fundamental role across diverse scientific fields, where the high-precision estimation of peak parameters such as intensity, position, bandwidth, and area is essential for advancing scientific progress.
Yuuki Hagiwara, Tatsu Kuwatani
doaj   +1 more source

Remarks on Cramer-Rao type integral inequalities for randomly censored data

, 1995
Cramer-Rao type integral inequalities for the integrated risk, for estimators for parameters based on ramdomly censored data, are derived. As applications, lower bounds for the locally asymptotic minimax risk for estimators of parameters in the exponential and Weibull case for the proportional hazard model, are obtained and locally minimax estimators ...
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UEG Week 2025 Poster Presentations

United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
wiley   +1 more source

Generalized Cramer–Rao inequality in the case of joint direction finding by azimuth and elevation angle in a complex electromagnetic environment

Journal of Radio Electronics
In this work, a generalized expression is obtained for the Cramer–Rao lower bound in the case of a joint estimation of azimuth and elevation angle in an arbitrary coordinate system in which the vector complex radiation pattern is determined, under conditions of a complex electromagnetic environment, including the presence of noise correlation in ...
M.P. Slichenko, O.N. Zavalishina
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