Bibliography on the Multivariate Normal Integrals and Related Topics

An Introduction to Multivariate Statistical Analysis

1986 • 9,529 citations

Information theory and statistics

1959 • 7,634 citations

A Multiple Comparison Procedure for Comparing Several Treatments with a Control

1955 • 5,730 citations

Mathematical Analysis of Random Noise

1944 • 5,333 citations

Introduction to Multivariate Statistical Analysis.

1959 • 3,939 citations

Economic Control of Quality of Manufactured Product.

1932 • 3,116 citations

Advanced Statistical Methods In Biometric Research

1952 • 2,052 citations

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

1963 • 1,389 citations

The Generalization of Student’s Ratio

1992 • 1,118 citations

A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with known Variances

1954 • 952 citations

Estimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions

1951 • 837 citations

The One-Sided Barrier Problem for Gaussian Noise

1962 • 813 citations

Mathematical Analysis of Random Noise-Conclusion

1945 • 802 citations

The Greatest of a Finite Set of Random Variables

1961 • 734 citations

Handbook of Statistical Tables

1962 • 695 citations

A Course in Multivariate Analysis.

1958 • 570 citations

The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities

1955 • 531 citations

The characteristic function of Hermitian quadratic forms in complex normal variables

1960 • 469 citations

Random Variables and Probability Distributions

2014 • 466 citations

Tables for Computing Bivariate Normal Probabilities

1956 • 459 citations

I. Mathematical contributions to the theory of evolution. —VII. On the correlation of characters not quantitatively measurable

1901 • 447 citations

Some Aspects of Multivariate Analysis.

1958 • 417 citations

Probability Integrals of Multivariate Normal and Multivariate $t^1$

1963 • 416 citations

Multivariate Quality Control-illustrated by the air testing of sample bombsights

1947 • 407 citations

Some New Test Criteria in Multivariate Analysis

1955 • 399 citations

Tables for Statisticians and Biometricians.

1933 • 381 citations

TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICES

1956 • 345 citations

Sample Criteria for Testing Equality of Means, Equality of Variances, and Equality of Covariances in a Normal Multivariate Distribution

1946 • 319 citations

A BIVARIATE GENERALIZATION OF STUDENT'S t-DISTRIBUTION, WITH TABLES FOR CERTAIN SPECIAL CASES

1954 • 286 citations

A REDUCTION FORMULA FOR NORMAL MULTIVARIATE INTEGRALS

1954 • 257 citations

On the Sampling Theory of Roots of Determinantal Equations

1939 • 217 citations

Probability Functions for the Modulus and Angle of the Normal Complex Variate

1947 • 210 citations

On the Measure of a Random Set. II

1945 • 182 citations

A GENERALIZATION OF FISHER'S z TEST

1938 • 181 citations

The multivariate distribution of complex normal variables

1956 • 177 citations

A TOW-SAMPLE MULTIPLE DECISION PROCEDURE FOR RANKING MEANS OF NORMAL POPULATIONS WITH A COMMON UNKNOWN VARIANCE

1954 • 166 citations

Handbook of Probability and Statistics with Tables.

1971 • 166 citations

THE SAMPLING DISTRIBUTION OF SOME STATISTICS OBTAINED FROM NON‐LINEAR EQUATIONS

1939 • 158 citations

ON THE DISTRIBUTION OF ROOTS OF CERTAIN DETERMINANTAL EQUATIONS

1939 • 151 citations

Testing Compound Symmetry in a Normal Multivariate Distribution

1948 • 147 citations

Ueber die Entwicklung einer Function von beliebig vielen Variablen nach Laplaceschen Functionen höherer Ordnung.

1866 • 134 citations

Sampling Inspection by Variables.

1954 • 126 citations

Charts of Some Upper Percentage Points of the Distribution of the Largest Characteristic Root

1960 • 115 citations

The Numerical Evaluation of Certain Multivariate Normal Integrals

1962 • 115 citations

ON THE MOMENTS OF ORDER STATISTICS IN SAMPLES FROM NORMAL POPULATIONS

1954 • 115 citations

The Multivariate t-Distribution Associated with a Set of Normal Sample Deviates

1954 • 112 citations

On Selecting a Subset Which Contains All Populations Better Than a Standard

1958 • 107 citations

On a Statistic which Arises in Selection and Ranking Problems

1957 • 101 citations

Distribution of Quadratic Forms and Some Applications

1955 • 100 citations

Probability Content of Regions Under Spherical Normal Distributions, I

1960 • 99 citations

Rank correlation and product-moment correlation

1948 • 97 citations

A note on the evaluation of the multivariate normal integral

1953 • 92 citations

Statistical Tables for Tests of Multivariate Hypotheses.

1961 • 86 citations

THE VARIANCE OF THE OVERLAP OF GEOMETRICAL FIGURES WITH REFERENCE TO A BOMBING PROBLEM

1947 • 86 citations

An extension of a theorem of Mehler's on Hermite polynomials

1945 • 83 citations

On the Comparison of Several Experimental Categories with a Control

1952 • 82 citations

THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY

1935 • 81 citations

A Table for Computing Trivariate Normal Probabilities

1958 • 78 citations

Tables of Percentage Points for the Studentized Maximum Absolute Deviate in Normal Samples*

1955 • 76 citations

ON THE RANGE OF PARTIAL SUMS OF A FINITE NUMBER OF INDEPENDENT NORMAL VARIATES

1953 • 74 citations

Moments of Order Statistics from the Equicorrelated Multivariate Normal Distribution

1962 • 72 citations

(iv) Proof of Relations connected with the Tetrachoric Series and its Generalization

1941 • 71 citations

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

1960 • 70 citations

Remarks on Computing the Probability Integral in One and Two Dimensions

1949 • 70 citations

Notes on Hotelling's Generalized $T$

1938 • 67 citations

The Asymptotic Distribution of Certain Characteristic Roots and Vectors

1951 • 64 citations

The Distribution of a Definite Quadratic Form

1948 • 62 citations

The variance of Spearman's rho in normal samples

1961 • 62 citations

THE PROBABILITY INTEGRAL FOR TWO VARIABLES

1943 • 59 citations

On Selecting the Largest of k Normal Population Means

1960 • 58 citations

ON THE DISTRIBUTION OF THE LARGEST OR THE SMALLEST ROOT OF A MATRIX IN MULTIVARIATE ANALYSIS

1956 • 53 citations

On the Distribution of the Ratio of the ith Observation in an Ordered Sample from a Normal Population to an Independent Estimate of the Standard Deviation

1954 • 52 citations

Circular Error Probabilities

1960 • 52 citations

On the geometrical moments of skew-regular simplices in hyperspherical space, with some applications in geometry and mathematical statistics

1960 • 50 citations

UPPER PERCENTAGE POINTS OF THE GENERALIZED BETA DISTRIBUTION. I

1957 • 47 citations

Die Eulersche Formel im Zusammenhang mit dem Inhalt in der Nicht-Euklidischen Geometrie

1906 • 47 citations

SOME PROBLEMS OF OPTIMUM SAMPLING

1954 • 47 citations

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

1950 • 47 citations

MOMENTS OF ORDER STATISTICS FROM A NORMAL POPULATION

1959 • 46 citations

The bivariate normal integral

1951 • 46 citations

Mill's ratio for multivariate normal distributions

1962 • 46 citations

DISTRIBUTION OF THE MEDIAN, QUARTILES AND INTERQUARTILE DISTANCE IN SAMPLES FROM A NORMAL POPULATION

1931 • 41 citations

A Multiple Decision Procedure for Certain Problems in the Analysis of Variance

1949 • 40 citations

Orthant probabilities for the equicorrelated multivariate normal distribution

1962 • 38 citations

INCOMPLETE AND ABSOLUTE MOMENTS OF THE MULTIVARIATE NORMAL DISTRIBUTION WITH SOME APPLICATIONS

1953 • 38 citations

Equally Correlated Variates and the Multinormal Integral

1958 • 37 citations

A note on the equicorrelated multivariate normal distribution

1962 • 36 citations

The numerical evaluation of a class of integrals

1956 • 35 citations

The Probability Distribution of the Measure of a Random Linear Set

1946 • 32 citations

The Transformation of Statistics to Simplify their Distribution

1938 • 30 citations

A Double Sample Test Procedure

1953 • 29 citations

On the distribution of the largest of six roots of a matrix in multivariate analysis

1959 • 28 citations

Handbook of Probability and Statistics, with Tables

1954 • 28 citations

THE COVERING CIRCLE OF A SAMPLE FROM A CIRCULAR NORMAL DISTRIBUTION

1952 • 27 citations

On the Distribution of the Characteristic Roots of Normal Second-Moment Matrices

1951 • 27 citations

Distribution of a Root of a Determinantal Equation

1948 • 27 citations

A method for computing the circular coverage function

1962 • 26 citations

Integration of the general bivariate Gaussian distribution over an offset circle

1961 • 26 citations

Two expansions for the quadrivariate normal integral

1960 • 24 citations

The Variance of the Measure of a Two-Dimensional Random Set

1945 • 23 citations

Probability Content of Regions Under Spherical Normal Distributions, III: The Bivariate Normal Integral

1961 • 22 citations

Integral of the Bivariate Normal Distribution over an Offset Circle

1962 • 22 citations

Distribution of the Measure of a Random Two-dimensional Set

1953 • 22 citations

Bombing Problems—A Statistical Approach

1957 • 21 citations

Concise Tables for Statisticians.

1958 • 20 citations

Extrait d'une lettre adressée à M. Hermite.

1846 • 19 citations

A GEOMETRICAL ANALYSIS OF THE FREQUENCY DISTRIBUTION OF THE RATIO BETWEEN TWO VARIABLES

1941 • 19 citations

On the First Two Moments of the Measure of a Random Set

1947 • 18 citations

Percentage Points and Modes of Order Statistics from the Normal Distribution

1961 • 17 citations

A Method of Computing Bivariate Normal Probabilities

1959 • 17 citations

STUDENTIZATION

1944 • 17 citations

Absolute and incomplete moments of the multivariate normal distribution

1961 • 16 citations

Limiting Distribution of a Root of a Determinantal Equation

1948 • 15 citations

URN Models of Correlation and a Comparison with the Multivariate Normal Integral

1955 • 15 citations

On the evaluation of the probability integral of the multivariate t-distribution

1961 • 15 citations

Conduction of Heat in the Semi-infinite Solid, with a Short Table of an Important Integral

1953 • 15 citations

A Table of the Integral of the Bivariate Normal Distribution Over an Offset Circle

1960 • 14 citations

The Bivariate Normal Probability Distribution

1958 • 14 citations

Kill Probability when the Weapon Bias is Randomly Distributed

1962 • 14 citations

An Asymptotic Expansion for Certain Schläfli Functions

1961 • 13 citations

A table of generalized circular error

1961 • 12 citations

A note on the quadrivariate normal integral

1961 • 11 citations

An approximation for the symmetric, quadrivariate normal integral

1956 • 10 citations

The content of certain spherical polyhedra for any number of dimensions

1953 • 9 citations

Distribution of Badial Error in the Bivariate Elliptical Normal Distribution

1962 • 8 citations

A Note on the Expected Coverage of One Circle by Another, the Case of Offset Aim

1961 • 7 citations

The Sampling Distributions of Statistics Derived From the Multivariate t-Distribution

1955 • 6 citations

Probability Content of Regions Under Spherical Normal Distributions, II: The Distribution of the Range in Normal Samples

1960 • 6 citations

Approximate Formulas for the Radii of Circles which Include a Specified Fraction of a Normal Bivariate Distribution

1947 • 6 citations

Some Tables of the Multivariate Normal Probability Integral with Correlation Coefficients 1 3

1960 • 5 citations

On the Probability of Capturing a Randomly Selected Point in Three Dimensions

1961 • 5 citations

Certain convexity conditions on matrices with applications to Gaussian processes

1962 • 5 citations

Pellet-Effectiveness Analysis

1961 • 4 citations

Probability Theory and Telephone Transmission Engineering

1933 • 4 citations

Numerical Analysis Research Unpublished Statistical Tables

1955 • 4 citations

Statistical Tables and Certain Recurrence Relations Connected with p­Statistics

1956 • 3 citations

Circular Probability Problems

1961 • 3 citations

On the Geometrical Significance of the Moments of Order Statistics and of Deviations of Order Statistics from the Mean in Samples from Gaussian Populations

1960 • 1 citations