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Asymptotic Properties of Spearman's Rank Correlation for Variables with Finite Support. [PDF]
PLoS ONE, 2016 The asymptotic variance and distribution of Spearman's rank correlation have previously been known only under independence. For variables with finite support, the population version of Spearman's rank correlation has been derived.
Petra Ornstein, Johan Lyhagen
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Finite-difference time-domain simulations: Verification on head-related transfer functions of a rigid sphere model [PDF]
JASA Express Letters, 2022 This paper presents a verification procedure for finite-difference time-domain-simulated head-related transfer functions (HRTFs) from a simplified model of a human head, a sphere.
Julie Meyer +4 more
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Mathematics, 2019 In this paper, we consider the initial value problem for the linearized compressible Navier–Stokes–Korteweg system. Asymptotic profiles and convergence rates are established by Fourier splitting frequency technique.
Yinxia Wang
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Integro-differentiated singularly perturbed equations with fast oscillating coefficients
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the study of various issues related to dynamic stability, with the properties of media with a periodic structure, in the study of other applied problems, one has to deal with differential equations with rapidly oscillating coefficients.
B.T. Kalimbetov, V.F. Safonov
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Formation control of first-order multi-agents with region constraint
Automatika, 2020 Formation problem of multi-agents systems has been investigated studied by more and more scientists. This paper studies the formation problem of the first-order multi-agent systems with region constraint.
Zhengquan Yang +3 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The paper considers a singularly perturbed control problem with a quadratic quality functional. Such problems in their standard formulation under known spectrum restrictions (the points of the spectrum of the optimal system are not purely imaginary and
A.A. Bobodzhanov +2 more
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Asymptotics for L 1 $L_{1}$ -wavelet method for nonparametric regression
Journal of Inequalities and Applications, 2020 Wavelets are particularly useful because of their natural adaptive ability to characterize data with intrinsically local properties. When the data contain outliers or come from a population with a heavy-tailed distribution, L 1 $L_{1}$ -estimation should
Xingcai Zhou, Fangxia Zhu
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Estimating Smoothness and Optimal Bandwidth for Probability Density Functions
Stats, 2022 The properties of non-parametric kernel estimators for probability density function from two special classes are investigated. Each class is parametrized with distribution smoothness parameter. One of the classes was introduced by Rosenblatt, another one
Dimitris N. Politis +2 more
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Long-time behaviour of solutions of delayed-type linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differential functional equations with bounded delays $$ \dot x(t)=-L(t,x_t) $$ when $t\to\infty$.
Josef Diblik
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Extremal properties of the beta-normal distribution
Journal of Inequalities and Applications, 2022 Asymptotic behaviors of the extremes of the beta-normal distribution are derived. The higher-order asymptotic expansions of the probability density and cumulative distribution functions for the maximum are given under an optimal normalizing constants. In
Yingying Jiang, Baokun Li
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