Search Results - "Jiang, Tiefeng"

LIMITING LAWS OF COHERENCE OF RANDOM MATRICES WITH APPLICATIONS TO TESTING COVARIANCE STRUCTURE AND CONSTRUCTION OF COMPRESSED SENSING MATRICES by Cai, T. Tony, Jiang, Tiefeng

“…Testing covariance structure is of significant interest in many areas of statistical analysis and construction of compressed sensing matrices is an important…”
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Statistical Properties of Eigenvalues of Laplace–Beltrami Operators by Jiang, Tiefeng, Wang, Ke

“…We study the eigenvalues of a Laplace–Beltrami operator defined on the set of the symmetric polynomials, where the eigenvalues are expressed in terms of…”
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How Many Entries of a Typical Orthogonal Matrix Can Be Approximated by Independent Normals? by Jiang, Tiefeng

“…We solve an open problem of Diaconis that asks what are the largest orders of$p_{n}$and$q_{n}$such that$Z_{n}$, the$p_{n}\times q_{n}$upper left block of a…”
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Low eigenvalues of Laplacian matrices of large random graphs by Jiang, Tiefeng

“…For each n  ≥ 2, let A n  = ( ξ ij ) be an n  × n symmetric matrix with diagonal entries equal to zero and the entries in the upper triangular part being…”
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Approximation of Rectangular Beta-Laguerre Ensembles and Large Deviations by Jiang, Tiefeng, Li, Danning

“…Let λ 1 , … , λ n be random eigenvalues coming from the beta-Laguerre ensemble with parameter p , which is a generalization of the real, complex and quaternion…”
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SPECTRAL DISTRIBUTIONS OF ADJACENCY AND LAPLACIAN MATRICES OF RANDOM GRAPHS by Ding, Xue, Jiang, Tiefeng

“…In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that: (i) the law of large numbers…”
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Limiting Behavior of Largest Entry of Random Tensor Constructed by High-Dimensional Data by Jiang, Tiefeng, Xie, Junshan

“…Let X k = ( x k 1 , … , x kp ) ′ , k = 1 , … , n , be a random sample of size n coming from a p -dimensional population. For a fixed integer m ≥ 2 , consider a…”
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Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles by Jiang, Tiefeng

“…We develop a tool to approximate the entries of a large dimensional complex Jacobi ensemble with independent complex Gaussian random variables. Based on this…”
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Asymptotic Properties of Random Restricted Partitions by Jiang, Tiefeng, Wang, Ke

“…We study two types of probability measures on the set of integer partitions of n with at most m parts. The first one chooses the partition with a chance…”
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The Entries of Haar-Invariant Matrices from the Classical Compact Groups by Jiang, Tiefeng

“…Let Γ n =( γ ij ) n × n be a random matrix with the Haar probability measure on the orthogonal group O ( n ), the unitary group U ( n ), or the symplectic…”
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Spectral Measure of Large Random Hankel, Markov and Toeplitz Matrices by Bryc, Włodzimierz, Dembo, Amir, Jiang, Tiefeng

“…We study the limiting spectral measure of large symmetric random matrices of linear algebraic structure. For Hankel and Toeplitz matrices generated by i.i.d…”
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The Asymptotic Distributions of the Largest Entries of Sample Correlation Matrices by Jiang, Tiefeng

“…Let$X_n = (x_{ij})$be an n by p data matrix, where the n rows form a random sample of size n from a certain p-dimensional population distribution. Let$R_n =…”
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CENTRAL LIMIT THEOREMS FOR CLASSICAL LIKELIHOOD RATIO TESTS FOR HIGH-DIMENSIONAL NORMAL DISTRIBUTIONS by Jiang, Tiefeng, Yang, Fan

“…For random samples of size n obtained from p-variate normal distributions, we consider the classical likelihood ratio tests (LRT) for their means and…”
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Maxima of entries of Haar distributed matrices by Jiang, Tiefeng

“…Let n=(ij) be an n×n random matrix such that its distribution is the normalized Haar measure on the orthogonal group O(n). Let also Wn:=max1i,jn|ij|. We obtain…”
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DETERMINANT OF SAMPLE CORRELATION MATRIX WITH APPLICATION by Jiang, Tiefeng

“…Let x₁, . . . , x n be independent random vectors of a common p-dimensional normal distribution with population correlation matrix R n . The sample correlation…”
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LARGEST ENTRIES OF SAMPLE CORRELATION MATRICES FROM EQUI-CORRELATED NORMAL POPULATIONS by Fan, Jianqing, Jiang, Tiefeng

“…The paper studies the limiting distribution of the largest off-diagonal entry of the sample correlation matrices of high-dimensional Gaussian populations with…”
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Distributions of eigenvalues of large Euclidean matrices generated from lp balls and spheres by Jiang, Tiefeng

“…Let x1,…,xn be points randomly chosen from a set G⊂RN and f(x) be a function. The Euclidean random matrix is given by Mn=(f(‖xi−xj‖2))n×n where ‖⋅‖ is the…”
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MOMENTS OF TRACES OF CIRCULAR BETA-ENSEMBLES by Jiang, Tiefeng, Matsumoto, Sho

“…Let θ₁,..., θn be random variables from Dyson's circular β-ensemble with probability density function Const ${\Pi _{1 \leqslant j < k \leqslant…”
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Spectral Radii of Large Non-Hermitian Random Matrices by Jiang, Tiefeng, Qi, Yongcheng

“…By using the independence structure of points following a determinantal point process, we study the radii of the spherical ensemble, the truncation of the…”
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Limit theorems for beta-Jacobi ensembles by JIANG, TIEFENG

“…For a β-Jacobi ensemble determined by parameters a 1 , a 2 and n, under the restriction that the three parameters go to infinity with n and a 1 being of small…”
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