Cramér-Rao Bound Study of Multiple Scattering Effects in Target Separation Estimation by Edwin A. Marengo, Paul Berestesky

“…The information about the distance of separation between two-point targets that is contained in scattering data is explored in the context of the scalar Helmholtz operator via the Fisher information and associated Cramér-Rao bound (CRB) relevant to unbiased target separation estimation. …”
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Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring by Rashad M. EL-Sagheer, Mustafa M. Hasaballah

“…The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate confidence intervals. …”
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RELIABILITY OPTIMUM DESIGN OF CONFIDENCE SAMPLES FOR CONSTANT-STRESS ACCELERATED LIFE TEST BASED ON WEIBULL DISTRIBUTION by FENG XueFeng, TANG JiaYin, TAN QiTao

“…The minimum variance of the product median lifetime estimate at normal stress level as optimum object was considered, the number and quantity of test stress level, samples allocation proporation and censoring time at each stress level are determined as design variables, put forward a reliability optimum scheme of time-censoring constant-stress ALT（CSALT） for weibull distributions. The Fisher Information Matrix is obtained for constructing asymptotic confidence intervals for the model parameters. …”
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Metrological Advantages in Seeded and Lossy Nonlinear Interferometers by Jasper Kranias, Guillaume Thekkadath, Khabat Heshami, Aaron Z. Goldberg

“…The quantum Fisher information (QFI) bounds the sensitivity of a quantum measurement, heralding the conditions for quantum advantages when compared with classical strategies. …”
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Actor-critic algorithm with incremental dual natural policy gradient by Peng ZHANG, Quan LIU, Shan ZHONG, Jian-wei ZHAI, Wei-sheng QIAN

“…The existed algorithms for continuous action space failed to consider the way of selecting optimal action and utilizing the knowledge of the action space,so an efficient actor-critic algorithm was proposed by improving the natural gradient.The objective of the proposed algorithm was to maximize the expected return.Upper and the lower bounds of the action range were weighted to obtain the optimal action.The two bounds were approximated by linear function.Afterward,the problem of obtaining the optimal action was transferred to the learning of double policy parameter vectors.To speed the learning,the incremental Fisher information matrix and the eligibilities of both bounds were designed.At three reinforcement learning problems,compared with other representative methods with continuous action space,the simulation results show that the proposed algorithm has the advantages of rapid convergence rate and high convergence stability.…”
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A Symbolic Algorithm for Checking the Identifiability of a Time-Series Model by Guy Mélard 

“…Several authors have attempted to compute the asymptotic Fisher information matrix for a univariate or multivariate time-series model to check for its identifiability. …”
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The estimation of the effective reproductive number from disease outbreak data by Ariel Cintrón-Arias, Carlos Castillo-Chávez, Luís M. A. Bettencourt, Alun L. Lloyd, H. T. Banks

“…., large condition numbers on the correspondingFisher information matrix) with both synthetic and influenzaincidence data sets.…”
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A hybrid method of optimal sensor placement for dynamic response monitoring of hydro-structures by Bo Chen, Zishen Huang, Dongjian Zheng, Liyu Zhong

“…The advantages and disadvantages of existing methods were demonstrated by comparison criteria including the modal assurance criterion, modal kinetic energy criterion, Fisher information matrix, and root-mean square error criterion. …”
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Quantum limits of parameter estimation in long-baseline imaging by Aqil Sajjad, Michael R. Grace, Saikat Guha

“…As an example, we show an explicit calculation of the quantum Fisher information (QFI) for estimating the angular separation between two-point emitters using two identical apertures separated by a baseline distance. …”
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Research on optimal arrangement strategy of top coal caving support sensors based on vibration characteristics of coal and gangue by WANG Yao, YANG Shanguo, WU Mingke, MENG Bin, YANG Zheng, LIU Houguang

“…The evaluation indexes of coal and gangue vibration signals were constructed. Combined with Fisher information matrix criterion, a comprehensive evaluation index was formed to determine the optimal scheme of tail beam sensor arrangement. …”
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Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer’s Disease MRI Data by Ömer Akgüller, Mehmet Ali Balcı, Gabriela Cioca

“…Geodesic distances, computed with the Fisher Information metric, quantified class differences. …”
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Cramér-Rao Bound Analysis of Spatial Effects in 2D TOA Localization With Directive Antennas by Imran Moez Khan, Xuezhi Wang, William Moran, Wayne S. T. Rowe

“…Expressions are derived for the Fisher Information Matrix (FIM) terms corresponding to the location coordinates of a passive target, explicitly incorporating arbitrary antenna radiation patterns. …”
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Multiple underwater target positioning with optimally placed acoustic surface sensor networks by David Moreno-Salinas, Antonio Manuel Pascoal, Joaquín Aranda

“…For each target, the function to be minimized (by proper choice of the sensor configuration) is related to the determinant of the corresponding Fisher information matrix, which yields information on the minimum possible covariance of the error with which the position of the target can be estimated using any non-biased estimator. …”
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Distinguishing Compact Objects in Extreme-Mass-Ratio Inspirals by Gravitational Waves by Lujia Xu, Shucheng Yang, Wenbiao Han, Xingyu Zhong, Rundong Tang, Yuanhao Zhang

“…We evaluate the accuracy of parameter estimation for these simulated waveforms using the Fisher Information Matrix (FIM) and find that the spin, tidal-induced quadruple, and spin-induced quadruple can all be measured with precision ranging from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>2</mn></mrow></msup></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula>, particularly for a mass ratio of ∼<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></semantics></math></inline-formula>. …”
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