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Cramér–Rao Lower Bound for Magnetic Field Localization around Elementary Structures [PDF]
SensorsThe determination of a mobile terminal’s position with high accuracy and ubiquitous coverage is still challenging. Global satellite navigation systems (GNSSs) provide sufficient accuracy in areas with a clear view to the sky. For GNSS-denied environments
Armin Dammann +2 more
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Cramer–Rao Lower Bound for SoOp-R-Based Root-Zone Soil Moisture Remote Sensing [PDF]
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020 Signals of opportunity (SoOp) reflectometry (SoOp-R) is a maturing field for geophysical remote sensing as evidenced by the growing number of airborne and spaceborne experiments.
Dylan Ray Boyd +7 more
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On the Attainment of the Cramer-Rao Lower Bound
Annals of Statistics, 1973 A rigorous proof is given of the often stated fact that if the variance of an unbiased estimator of a function of a real parameter attains the Cramer-Rao lower bound then the family of distributions must be a one-parameter exponential family.
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On the Attainment of the Cramer-Rao Lower Bound
Annals of Statistics, 1976 It is often stated that the variance of an unbiased estimator of a function of a real parameter can attain the Cramer-Rao lower bound only if the family of distributions is a one-parameter exponential family. A rigorous proof of this statement, subject to certain regularity conditions, has been given by Wijsman.
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Estimation of the Measurement Accuracy of Wireless Passive Resonance Sensors [PDF]
SensorsResonators are passive devices that respond to an excitation signal by oscillating at their natural frequency with exponentially decreasing amplitudes. Physical, chemical and electrical variables can modify the natural frequencies of resonators.
Leonhard M. Reindl +5 more
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Localization and ambiguity resolution algorithm for time-difference fusion of three satellites based on observation filtering [PDF]
Scientific ReportsTo address the issues of low accuracy and time-difference ambiguity in the localization and tracking of multiple satellites, we have conducted a thorough study of the localization algorithm and the ambiguity resolution algorithm for the time-difference ...
Yanli Zhang +5 more
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Cramer-Rao lower bounds for atomic decomposition [PDF]
1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258), 1999 In a previous paper we presented a method for atomic decomposition with chirped, Gabor functions based on maximum likelihood estimation. In this paper we present the Cramer-Rao lower bounds for estimating the seven chirp parameters, and the results of a simulation showing that our sub-optimal, but computationally tractable, estimators perform well in ...
Jeffrey C. O'Neill, Patrick Flandrin
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Entropy, 2023 The variational Bayesian method solves nonlinear estimation problems by iteratively computing the integral of the marginal density. Many researchers have demonstrated the fact its performance depends on the linear approximation in the computation of the ...
Yumei Hu +5 more
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Malliavin calculus in statistical inference: Cramer-Rao lower bound for fuzzy random variables [PDF]
تصمیم گیری و تحقیق در عملیات, 2020 The Cramer-Rao lower bound is obtained by using integration by parts and the Cauchy-Schwarz inequality. The integration by parts formulas of Malliavin calculus plays a role in this study. The point estimation problem is very crucial and has a wide range
Hossein Jafari, Mohammad Javad Ebadi
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Cramér-Rao Lower Bound for Fuzzy-Valued Random Variables
Austrian Journal of Statistics, 2016 In some point estimation problems, we may confront imprecise (fuzzy) concepts. One important case is a situation where all observations are fuzzy rather than crisp.
Hamzeh Torabi
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