Jäntti, “Asymptotic Expansions for Heavy-tailed Data”, IEEE Signal Process. Lett., 2016 (Accepted) G. Pastor, I. Mora-Jiménez, A.J. Caamaño, and R. Jäntti, “Log-Cumulants-based Edgeworth Expansion for ...

Compared with other algorithms based on higher-order cumulants, this algorithm effectively reduces the dimension of the fourth-order cumulant matrix and reduces the computational complexity.

Extending a cell lineage statistics framework, here we show that a population’s growth rate can be expanded by the cumulants of a fitness landscape that characterize how fitness distributes in a ...

Whitcher, Brandon Guttorp, Peter and Percival, Donald B. 2000. Wavelet analysis of covariance with application to atmospheric time series. Journal of Geophysical ...

Abstract: The Gram-Charlier series is a known tool for approximating a probability density function when the moments or the cumulants of a random variable are known. A recursive procedure is presented ...

The text uses no measure theory, requiring only a background in calculus and linear algebra. Topics range from the basic distribution and density functions, expectation, conditioning, characteristic ...

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We generate two data sets which simulate an AWGN channel and a Rayleigh channel. We consider a baseline method using cumulants and compare it with the deep learning approach across a varying range of ...

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This method is based on superresolution optical fluctuation imaging (SOFI) and accomplishes a 3D resolution enhancement by calculating the temporal or spatio-temporal cross cumulants of independent ...

Coverage properties of the proposed confidence intervals are studied by Monte Carlo simulation, and are found to be excellent in a variety of circumstances The cumulants of quadratic forms associated ...