Detailed Proofs (Class Notes) of Necessary and Sufficient Conditions for Independence and X (2) -Distribution Properties of Quadratic Forms of Normal Variables

Cumulants of Quadratic and Bilinear Forms in Singular Normal Variables

Searle, S. R.
Urquhart, N. S.
Evans, D. A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

This issue was undated. The date given is an estimate.17 pages, 1 article*Cumulants of Quadratic and...

A simple proof of the generalized Craig–Sakamoto theorem

Zhang, Jin
Yi, Jikun

August 2012

AbstractThe Craig–Sakamoto theorem establishes the independence of two quadratic forms in normal var...

The role of powers of matrices in determining the distribution of quadratic forms involving the complex normal distribution

Pavur, R.J.
Lewis, T.O.

April 1986

AbstractBy investigating the powers of matrices used in quadratic forms and by replacing the standar...

DETAILED PROOFS (CLASS NOTES) OF NECESSARY AND SUFFICIENT CONDITIONS FOR INDEPENDENCE AND x2-DISTRIBUTION PROPERTIES OF QUADRATIC FORMS OF NORMAL VARIABLES

S. R. Searle

January 1984

Detailed proofs are given of necessary and sufficient conditions for quadratic forms in normal varia...

An alternative way to establish the necessity part of the classical result on the statistical independence of quadratic forms

Harville, David A.
Kempthorne, Oscar

October 1997

AbstractThis paper provides an alternative to existing proofs of the necessity part of the classical...

On the Distribution of Quadratic Forms

Urquhart, N. S.
Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

April 1966

4 pages, 1 article*On the Distribution of Quadratic Forms* (Urquhart, N. S.; Searle, S. R.) 4 page

An alternative way to establish the necessity part of the classical result on the statistical independence of quadratic forms

Harville, David A.
Kempthorne, Oscar

October 1997

AbstractThis paper provides an alternative to existing proofs of the necessity part of the classical...

Properties of Certain Discrete Distributions Suitable for Generating Approximately Normal Variables

Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

October 1966

12 pages, 1 article*Properties of Certain Discrete Distributions Suitable for Generating Approximate...

Quadratic Forms in Singular Normal Variables

Rodhe, C. A.
Urquhart, N. S.
Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1968

16 pages, 1 article*Quadratic Forms in Singular Normal Variables* (Rodhe, C. A.; Urquhart, N. S.; Se...

On bilinear forms in normal variables

A. Mathai

Bilinear forms, quadratic forms, moments, cumulants, joint cumulants, independence of bilinear and q...

Characterizations of the normal distribution

Goh, Jeok-Eng

January 1970

The problem of determining a statistical population belonging to a certain class of distributions is...

The Craig-Sakamoto Theorem /

Dumais, Mylène Fanny.

January 2000

This thesis reviews the works that most influenced the progress and the development of the Craig-Sak...

O N LAPLACIANNESS O F IIERMITIAN QUADRATIC AND BILINEAR FORMS IN COMPLEX NORMAL VARIABLES

Shagufta A. Sultan

September 2016

Hermitian quadratic and bilinear forms in normal variables and their distributions are considered in...

On some functions of quadratic forms and related topics

Morin-Wahhad, Danielle

January 1988

This thesis is concerned with the distributional problems related to quadratic forms in normal varia...

Constraints on distributions imposed by properties of linear forms

Denis Belomestny

May 2003

Let (X1,Y1),...,(Xm,Ym) be m independent identically distributed bivariate vectors and L1 = β1X1 + ....

Cumulants of Quadratic and Bilinear Forms in Singular Normal Variables

Searle, S. R.
Urquhart, N. S.
Evans, D. A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

This issue was undated. The date given is an estimate.17 pages, 1 article*Cumulants of Quadratic and...

A simple proof of the generalized Craig–Sakamoto theorem

Zhang, Jin
Yi, Jikun

August 2012

AbstractThe Craig–Sakamoto theorem establishes the independence of two quadratic forms in normal var...

The role of powers of matrices in determining the distribution of quadratic forms involving the complex normal distribution

Pavur, R.J.
Lewis, T.O.

April 1986

AbstractBy investigating the powers of matrices used in quadratic forms and by replacing the standar...

DETAILED PROOFS (CLASS NOTES) OF NECESSARY AND SUFFICIENT CONDITIONS FOR INDEPENDENCE AND x2-DISTRIBUTION PROPERTIES OF QUADRATIC FORMS OF NORMAL VARIABLES

S. R. Searle

January 1984

Detailed proofs are given of necessary and sufficient conditions for quadratic forms in normal varia...

An alternative way to establish the necessity part of the classical result on the statistical independence of quadratic forms

Harville, David A.
Kempthorne, Oscar

October 1997

AbstractThis paper provides an alternative to existing proofs of the necessity part of the classical...

On the Distribution of Quadratic Forms

Urquhart, N. S.
Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

April 1966

4 pages, 1 article*On the Distribution of Quadratic Forms* (Urquhart, N. S.; Searle, S. R.) 4 page

An alternative way to establish the necessity part of the classical result on the statistical independence of quadratic forms

Harville, David A.
Kempthorne, Oscar

October 1997

AbstractThis paper provides an alternative to existing proofs of the necessity part of the classical...

Properties of Certain Discrete Distributions Suitable for Generating Approximately Normal Variables

Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

October 1966

12 pages, 1 article*Properties of Certain Discrete Distributions Suitable for Generating Approximate...

Quadratic Forms in Singular Normal Variables

Rodhe, C. A.
Urquhart, N. S.
Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1968

16 pages, 1 article*Quadratic Forms in Singular Normal Variables* (Rodhe, C. A.; Urquhart, N. S.; Se...

On bilinear forms in normal variables

A. Mathai

Bilinear forms, quadratic forms, moments, cumulants, joint cumulants, independence of bilinear and q...

Characterizations of the normal distribution

Goh, Jeok-Eng

January 1970

The problem of determining a statistical population belonging to a certain class of distributions is...

The Craig-Sakamoto Theorem /

Dumais, Mylène Fanny.

January 2000

This thesis reviews the works that most influenced the progress and the development of the Craig-Sak...

O N LAPLACIANNESS O F IIERMITIAN QUADRATIC AND BILINEAR FORMS IN COMPLEX NORMAL VARIABLES

Shagufta A. Sultan

September 2016

Hermitian quadratic and bilinear forms in normal variables and their distributions are considered in...

On some functions of quadratic forms and related topics

Morin-Wahhad, Danielle

January 1988

This thesis is concerned with the distributional problems related to quadratic forms in normal varia...

Constraints on distributions imposed by properties of linear forms

Denis Belomestny

May 2003

Let (X1,Y1),...,(Xm,Ym) be m independent identically distributed bivariate vectors and L1 = β1X1 + ....

Cumulants of Quadratic and Bilinear Forms in Singular Normal Variables

Searle, S. R.
Urquhart, N. S.
Evans, D. A.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1970

This issue was undated. The date given is an estimate.17 pages, 1 article*Cumulants of Quadratic and...

A simple proof of the generalized Craig–Sakamoto theorem

Zhang, Jin
Yi, Jikun

August 2012

AbstractThe Craig–Sakamoto theorem establishes the independence of two quadratic forms in normal var...

The role of powers of matrices in determining the distribution of quadratic forms involving the complex normal distribution

Pavur, R.J.
Lewis, T.O.

April 1986

AbstractBy investigating the powers of matrices used in quadratic forms and by replacing the standar...

Detailed Proofs (Class Notes) of Necessary and Sufficient Conditions for Independence and X (2) -Distribution Properties of Quadratic Forms of Normal Variables

Abstract

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Detailed Proofs (Class Notes) of Necessary and Sufficient Conditions for Independence and X (2) -Distribution Properties of Quadratic Forms of Normal Variables

Abstract

Extracted data

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