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Cramer-Rao Bound for the Time-Varying Poisson
ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2022 Point processes are finding increasing applications in neuroscience, genomics, and social media. But basic modelling properties are little studied. Here we consider a periodic time-varying Poisson model and develop the asymptotic Cramer-Rao bound. We also develop, for the first time, a maximum likelihood algorithm for parameter estimation.
VÍCTOR Solo, Xinhui Rong
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A superresolution-enhanced spectrometer beyond the Cramer–Rao bound in phase sensitivity [PDF]
Scientific ReportsPrecision measurement has been an important research area in sensing and metrology. In classical physics, the Fisher information determines the maximum extractable information from statistically unknown signals, based on a joint probability density ...
Byoung S. Ham
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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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Hybrid Cramér-Rao Bound for Quantum Bayes Point Estimation with Nuisance Parameters [PDF]
EntropyWe develop a hybrid framework for quantum parameter estimation in the presence of nuisance parameters. In this scheme, the parameters of interest are treated as fixed non-random parameters while nuisance parameters are integrated out with respect to a ...
Jianchao Zhang, Jun Suzuki
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Efficient qubit phase estimation using adaptive measurements [PDF]
Quantum, 2021 Estimating correctly the quantum phase of a physical system is a central problem in quantum parameter estimation theory due to its wide range of applications from quantum metrology to cryptography.
Marco A. Rodríguez-García +2 more
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Enhanced parameter estimation by measurement of non-Hermitian operators
AAPPS Bulletin, 2023 Quantum metrology aims at delivering new quantum-mechanical improvement to technologies of parameter estimations with precision bounded by the quantum Cramér-Rao bound.
Jianning Li +3 more
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npj Quantum Information, 2022 The quantum Cramér–Rao bound sets a fundamental limit on the accuracy of unbiased parameter estimation in quantum systems, relating the uncertainty in determining a parameter to the inverse of the quantum Fisher information. We experimentally demonstrate
Min Yu +10 more
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Speed limit of quantum metrology
Scientific Reports, 2023 Quantum metrology employs nonclassical systems to improve the sensitivity of measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao bound.
Yusef Maleki +2 more
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Cramer-Rao bound for a sparse complex model [PDF]
2014 10th International Conference on Communications (COMM), 2014 Complex-valued data play a prominent role in a number of signal and image processing applications. The aim of this paper is to establish some theoretical results concerning the Cramer-Rao bound for estimating a sparse complex-valued vector. Instead of considering a countable dictionary of vectors, we address the more challenging case of an uncountable ...
Florescu, Anisia +3 more
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