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A semiparametric model for matrix regression

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2021; 10 (2)

We focus on regression problems in which the predictors are naturally in the form of matrices. Reduced rank regression and related regularized method ......

Tracy-Widom law for the largest eigenvalue of sample covariance matrix generated by VARMA

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2021; 10 (2)

In this paper, we derive the Tracy-Widom law for the largest eigenvalue of sample covariance matrix generated by the vector autoregressive moving aver......

Efficient estimation of reduced-rank partial envelope model in multivariate linear regression

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2021; 10 (2)

In order to further improve the efficiency of parameter estimation and reduce the number of estimated parameters, we adopt dimension reduction ideas o......

Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Backlund transformations of the sixth Painleve equation

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2021; 10 (3)

It is known from [G. Filipuk and W. Van Assche, Discrete orthogonal polynomials with hypergeometric weights and Painleve VI, Symmetry Integr. Geom. Me......

Approximation of the power functions of Roy's largest root test under general spiked alternatives

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2021; 10 (1)

Roy's largest root is a common test statistic in multivariate analysis, statistical signal processing and related fields. According to Anderson [An In......

Estimation and testing for panel data partially linear single-index models with errors correlated in space and time

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (2)

We consider a panel data partially linear single-index models (PDPLSIM) with errors correlated in space and time. A serially correlated error structur......

Painleve V, Painleve XXXIV and the degenerate Laguerre unitary ensemble

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (2)

In this paper, we study the Hankel determinant associated with the degenerate Laguerre unitary ensemble (dLUE). This problem originates from the large......

Spectrum of SYK model III: Large deviations and concentration of measures

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (2)

In [Spectrum of SYK model, preprint (2018), arXiv:1801.10073], we proved the almost sure convergence of eigenvalues of the SYK model, which can be vie......

A setwise EWMA scheme for monitoring high-dimensional datastreams

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (2)

The monitoring of high-dimensional data streams has become increasingly important for real-time detection of abnormal activities in many statistical p......

Strong convergence of ESD for large quaternion sample covariance matrices and correlation matrices when p/n -> 0

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (2)

In this paper, we study the strong convergence of empirical spectral distribution (ESD) of the large quaternion sample covariance matrices and correla......

Moderate deviations for extreme eigenvalues of beta-Laguerre ensembles

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (2)

Let lambda(max), lambda(min) be respectively the largest and smallest eigenvalues of beta-Laguerre ensembles with parameters (n, p, beta). For fixed b......

Outlier detection for multinomial data with a large number of categories

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (3)

This paper develops an outlier detection procedure for multinomial data when the number of categories tends to infinity. Most of the outlier detection......

Asymptotics for the systematic and idiosyncratic volatility with large dimensional high-frequency data

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (3)

In this paper, we decompose the volatility of a diffusion process into systematic and idiosyncratic components, which are not identified with observat......

Tests for high-dimensional covariance matrices

期刊: RANDOM MATRICES-THEORY AND APPLICATIONS, 2020; 9 (3)

In this paper, we propose some new tests for high-dimensional covariance matrices that are applicable to generally distributed populations with finite......

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