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Weak convergence using higher-order cumulants
Journal of Theoretical Probability, 1992Let \(c_ j(F)\) denote the \(j\)-th cumulant of the distribution function \(F\). The main result of the paper can be formulated as follows. Let \(\{F_ n\}\) be a sequence of distribution functions and let \(F\) be a distribution function which is specified by its higher-order cumulants (this notion is defined in the appropriate way, similar as in the ...
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Higher order log-cumulants for texture analysis of PolSAR data
2016 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), 2016The log-cumulants of the second and third order are widely used to determine the statistical model of PolSAR data. However, same values of these statistics could result from both the product model and the mixture model, which represent two different physical scenarios.
Xinping Deng, Carlos López-Martínez
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A fast algorithm for estimating higher-order cumulants
Proceedings of Third International Conference on Signal Processing (ICSP'96), 2002In many problems of digital signal processing, it is required to estimate higher-order cumulants of a given process. We present a fast, inexpensive, and unbiased cumulant estimator. This estimator is based on, a polarity scheme. Unbiasedness is achieved by the addition of statistically independent auxiliary noise sources to the input signals.
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Higher Order Asymptotic Cumulants of Studentized Estimators in Covariance Structures
Communications in Statistics - Simulation and Computation, 2008In covariance structure analysis, the Studentized pivotal statistic of a parameter estimator is often used since the statistic is asymptotically normally distributed with mean zero and unit variance. For more accurate asymptotic distribution, the first and third asymptotic cumulants can be used to have the single-term Edgeworth, Cornish-Fisher, and ...
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A New Concept of Fractional Order Cumulant and It-Based Signal Processing in α and/or Gaussian Noise
IEEE Transactions on Information Theory, 2021Hongyan Shi, Yiran Shi, Dingli Yu
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Research on Modulation Recognition Algorithm Based on Combination of Multiple Higher-Order Cumulant
Lecture Notes in Electrical Engineering, 2021Jiaqi Zhen
exaly
UAV Detection with the Variance of Higher-Order Cumulants
2024 IEEE Wireless Communications and Networking Conference (WCNC)Nanzhou Hu +5 more
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Digital Modulation Recognition Method Based on High-Order Cumulant Feature Learning
Lecture Notes in Electrical Engineering, 2023Sérgio Saponara, Saponara Sérgio
exaly
Fourth-Order Cumulant-Based Blind Identification of Underdetermined Mixtures
IEEE Transactions on Signal Processing, 2007Lieven De Lathauwer
exaly

