Distributions of Lawley-Hotelling'sT02and Related Statistics: A Review (Q5750164)

scientific article; zbMATH DE number 4184713

Language	Label	Description	Also known as
English	Distributions of Lawley-Hotelling's<i>T</i><sub>0</sub><sup>2</sup>and Related Statistics: A Review	scientific article; zbMATH DE number 4184713

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instance of

scholarly article

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title

Distributions of Lawley-Hotelling'sT02and Related Statistics: A Review (English)

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author

Mínoru Siotani

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published in

American Journal of Mathematical and Management Sciences

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publication date

1989

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zbMATH Keywords

generalized hypergeometric functions

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generalized Laguerre polynomials

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Pillai's trace

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zonal polynomials

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Lawley-Hotelling's statistic

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review article

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exact distributions

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systems of partial differential equations

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asymptotic expansions

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percentage points

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tables

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noncentrality

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MANOVA test statistic

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/01966324.1989.10737251

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cites work

Q3796553

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Asymptotic formulae for the distributions of some criteria for tests of equality of covariance matrices

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Asymptotic expansion of the non-null distribution of the ratio of two conditionally independent Hotelling's $T^2_0$-statistics

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Some Non-Central Distribution Problems in Multivariate Analysis

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The Distribution of Hotelling's Generalised $T_0^2$

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A System of Linear Differential Equations for the Distribution of Hotelling's Generalized $T_o^2$

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Further applications of a differential equation for Hotelling's generalized $\mathbb{T}^2_\circ$

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Percentile approximations for a class of likelihood ratio criteria

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Further tabulation of Hotelling's generalized

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Inverting an Edgeworth expansion

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Bessel functions of matrix argument

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Generalized Asymptotic Expansions of Cornish-Fisher Type

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The Generalization of Student's Ratio

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The Transformation of Statistics to Simplify their Distribution

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Notes on Hotelling's Generalized $T$

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Asymptotic Formulae for the Distribution of Hotelling's Generalized $T^2_0$ Statistic

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Asymptotic Formulae for the Distribution of Hotelling's Generalized $T_0^2$ Statistic. II

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The Distribution of the Latent Roots of the Covariance Matrix

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Zonal polynomials of the real positive definite symmetric matrices

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Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

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Distribution of the Canonical Correlations and Asymptotic Expansions for Distributions of Certain Independence Test Statistics

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Q3262608

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The Classification Statistic $W^\ast$ in Covariate Discriminant Analysis

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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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Q3219581

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Distribution of the Sum of Roots of a Determinantal Equation under a Certain Condition

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An Asymptotic Expansion for the Distribution of the Linear Discriminant Function

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Q3939036

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Some New Test Criteria in Multivariate Analysis

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On the moments of elementary symmetric functions of the roots of two matrices

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On the exact distribution of Hotelling's generalized $T_ 0^ 2$

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On a Heuristic Method of Test Construction and its use in Multivariate Analysis

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Simultaneous Confidence Interval Estimation

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On the distributions of the Hotelling's $T^ 2$-statistics

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Note on the utilization of the generalized student ratio in the analysis of variance or dispersion

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The extreme value of the generalized distances of the individual points in the multivariate normal sample

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Notes on multivariate confidence bounds

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An Asymptotic Expansion of the Non-Null Distribution of Hotelling's Generalized $T_0^2$-Statistic

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Q3716064

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Asymptotic Approximations to Distributions

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Identifiers

zbMATH Open document ID

0718.62097

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DOI

10.1080/01966324.1989.10737251

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5750164

Distributions of Lawley-Hotelling's<i>T</i><sub>0</sub><sup>2</sup>and Related Statistics: A Review (Q5750164)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)