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Any Distribution on the Positive Real Line as a Limit of Random Sums
AxiomsWe prove that any positive random variable may be the limit of the random sums of independent identically distributed random variables. Thus, the limit distribution in the case of summing a random number of random variables may not be stable. The lack of
Lev Klebanov, Michal Šumbera
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Measuring Statistical Dependence via Characteristic Function IPM
EntropyWe study statistical dependence in the frequency domain using the integral probability metric (IPM) framework. We propose the uniform Fourier dependence measure (UFDM) defined as the uniform norm of the difference between the joint and product-marginal ...
Povilas Daniušis +3 more
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Научный вестник МГТУ ГА, 2017 The article deals with a new approximation method for enhanced accuracy measurement system errors distribution. The method is based upon the mistie analysis of this system and a more robust design data.
V. L. Kuznetsov, A. A. Tarakanov
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Characteristic functions of regional soils: difference
Yantu gongcheng xuebaoAs one of the core contents of regional soil theory and methods, empirical analysis and evaluation method research on the differences in N-vs characteristic functions of regional soils are conducted.
LU Kunyu 1, 2, YUAN Xiaoming 2
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A Remark on Characteristic Functions
The Annals of Mathematical Statistics, 1947 Abstract : This paper deals with characteristic functions, convergence, fixed intervals, random variables and distribution functions.
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On modular functions in characteristic 𝑝 [PDF]
Transactions of the American Mathematical Society, 1978 Let k = F q ( T ) k\, = \,{{\textbf {F}}_q}\left ( T \right ) be a function field of one variable over a finite field
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Characteristic functions of regional soils: convergence
Yantu gongcheng xuebaoWhether from the perspective of engineering application of establishing N-vs relationship curve in a region or as an essential part of regional soil characteristic theory, the number of arrays required for constructing scientific N-vs function is an ...
YUAN Xiaoming , LU Kunyu , LI Zhaoyan , CHEN Zhoushi , WU Xiaoyang
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On the asymptotics of the Hopf characteristic function [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012 We study the asymptotic behavior of the Hopf characteristic function of fractals and chaotic dynamical systems in the limit of large argument. The small argument behavior is determined by the moments, since the characteristic function is defined as their generating function.
Guralnik, Zachary +2 more
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Rational characteristic functions and markov chains [PDF]
, 1995 1 We investigate in this paper how to estimate the density function of a random variable using a parametric ARMA model for its characteristic function. The choice of this model is motivated by the fact that this type of density characterizes the duration
Bonafonte Cávez, Antonio +4 more
core
HeliyonBackground: To explore the genetic defects of a Chinese family with complete Schubert-Bornschein type congenital stationary night blindness (CSNB). Methods: A Chinese family with complete Schubert-Bornschein type CSNB was enrolled in this study.
Dong'e Bai +4 more
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