Partial differential equations for hypergeometric functions of complex argument matrices and their applications (Q1240995)

scientific article; zbMATH DE number 3567812

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English	Partial differential equations for hypergeometric functions of complex argument matrices and their applications	scientific article; zbMATH DE number 3567812

Statements

instance of

scholarly article

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title

Partial differential equations for hypergeometric functions of complex argument matrices and their applications (English)

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author

Yasuko Chikuse

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published in

Annals of the Institute of Statistical Mathematics

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publication date

1976

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MaRDI profile type

Publication

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cites work

Partial differential equations for hypergeometric functions of two argument matrices

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Asymptotic expansions of the non-null distributions of two criteria for the linear hypotheses concerning complex multivariate normal populations

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Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)

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On the distribution of the latent roots of a complex Wishart matrix (non- central case)

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The asymptotic distributions of the statistics based on the complex Gaussian distribution

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Bessel functions of matrix argument

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Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

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Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator

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Q5629004

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Distribution of the Largest or the Smallest Characteristic Root Under Null Hypothesis Concerning Complex Multivariate Normal Populations

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Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution

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On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors

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Non-central distributions of ith largest characteristic roots of three matrices concerning complex multivariate normal populations

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Asymptotic Expansions for Distributions of the Roots of Two Matrices from Classical and Complex Gaussian Populations

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Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument

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Asymptotic Distributions of Some Multivariate Tests

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The Asymptotic Noncentral Distribution of Hotelling's Generalized $T_0^2$

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Asymptotic expansions for the joint and marginal distributions of the latent roots of the covariance matrix

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Derivatives of the characteristic root of a synmetric or a hermitian matrix with two applications in multivariate analysis

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Distributions of the largest latent root of the multivariate complex Gaussian distribution

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Identifiers

zbMATH Open document ID

0364.62052

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DOI

10.1007/BF02504739

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1240995