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Research on the atomic clock signal denoising method based on the hyperbolic tangent smooth threshold function [PDF]
To address the discontinuity and constant bias inherent in traditional hard and soft threshold functions, an atomicclock signal denoising method based on the hyperbolic tangent smooth threshold function was proposed. The atomicclock signal was decomposed
Qiang Liu +4 more
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Approximations of normal distribution by its q-generalizations [PDF]
A concept of q-generalization of normal distribution arises in the context of statistical mechanics. In this article, we introduce a q-generalization of normal approximation.
Mongkhon Tuntapthai
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Some recent advances for limit theorems [PDF]
We present some recent developments for limit theorems in probability theory, illustrating the variety of this field of activity. The recent results we discuss range from Stein’s method, as well as for infinitely divisible distributions as applications ...
Arras Benjamin +4 more
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Approximation Results for Sums of Independent Random Variables
In this article, we consider Poisson and Poisson convoluted geometric approximation to the sums of n independent random variables under moment conditions. We use Stein’s method to derive the approximation results in total variation distance.
Pratima Eknath Kadu
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A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function [PDF]
This paper uses Stein’s method and the characterization of beta binomial random variable to determine a non-uniform bound for the distance between the beta binomial cumulative distribution function with parameters n N, 0 and 0 and the ...
Kanint Teerapabolarn, Khunakorn Sae-Jeng
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Interferometric SAR Phase Filtering With SURE-Based Non-Local Method
As the phase of the interferometric synthetic aperture radar (InSAR) contains abundant information for many earth observation activities, the interferometric phase denoising is an important step before InSAR processing and application because of its ...
Rui Guo +3 more
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The article takes into account the way in which Gertrude Stein’s literary works have been interpreted by critics over the years. Following the writer’s own cue, scholars – starting with Stein’s long-time friend and admirer, Mable Dodge – have been ...
Enrico Frigeni
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Malliavin–Stein method: a survey of some recent developments
Initiated around the year 2007, the Malliavin–Stein approach to probabilistic approximations combines Stein’s method with infinite-dimensional integration by parts formulae based on the use of Malliavin-type operators. In the last decade, Malliavin–Stein
Ehsan Azmoodeh +2 more
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An improved bound for negative binomial approximation with -functions
In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters ...
K. Teerapabolarn
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A Nonuniform Bound to an Independent Test in High Dimensional Data Analysis via Stein’s Method
The Berry-Esseen bound for the random variable based on the sum of squared sample correlation coefficients and used to test the complete independence in high diemensions is shown by Stein’s method.
Nahathai Rerkruthairat
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