Coverart for item
The Resource An extension of the functional equation of skitovich characterizing the multivaraite normal distribution, S.G. Ghurye, Northwestern University, Ingram Olkin, University of Minnesota, (electronic resource)

An extension of the functional equation of skitovich characterizing the multivaraite normal distribution, S.G. Ghurye, Northwestern University, Ingram Olkin, University of Minnesota, (electronic resource)

Label
An extension of the functional equation of skitovich characterizing the multivaraite normal distribution
Title
An extension of the functional equation of skitovich characterizing the multivaraite normal distribution
Statement of responsibility
S.G. Ghurye, Northwestern University, Ingram Olkin, University of Minnesota
Creator
Contributor
Author
Subject
Language
eng
Summary
Let X1, X2 ..., X[subscript n] be independent, p-dimensional random vectors and let there exist non-singular p x p matrices A1 ..., A[subscript n], B1 ..., B[subscript n], such that the random vectors A1X1 + ... + A[subscript n]X[subscript n] and B1X1 + ... + B[subscript n]X[subscript n] are stochastically independent. Then the X[subscript i] are normally distributed. This result is proved by discussing functional equation: [sigma] 1 <̲ i <̲ n f[subscript i](t + c[subscript i]u) = A(t|u) + B(u|t), where t, u are p-dimensional vectors, the c[subscript i] are nonsingular matries and A(x|y), B(x|y) are polynomials in x, for each fixed p-vector
Member of
Cataloging source
OCLCE
http://bibfra.me/vocab/lite/collectionName
Technical Report Archive & Image Library (TRAIL)
http://library.link/vocab/creatorName
Ghurye, S. G
Government publication
federal national government publication
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • technical reports
http://library.link/vocab/relatedWorkOrContributorName
  • Northwestern University (Evanston, Ill.)
  • University of Minnesota
  • United States
Series statement
Air Force Office of Scientific Research
Series volume
AFOSR 901
http://library.link/vocab/subjectName
  • Functional equations
  • Matrices
  • Gaussian distribution
Label
An extension of the functional equation of skitovich characterizing the multivaraite normal distribution, S.G. Ghurye, Northwestern University, Ingram Olkin, University of Minnesota, (electronic resource)
Link
http://books.google.com/books?id=wN0HSQ-3UecC
Instantiates
Publication
Note
  • July 21, 1961
  • Contract number AF 49 (638) - 877
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
28 cm.
Dimensions
unknown
Extent
11 pages
File format
one file format
Form of item
online
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Specific material designation
remote
System control number
  • (OCoLC)1103319963
  • (OCoLC)on1103319963
Label
An extension of the functional equation of skitovich characterizing the multivaraite normal distribution, S.G. Ghurye, Northwestern University, Ingram Olkin, University of Minnesota, (electronic resource)
Link
http://books.google.com/books?id=wN0HSQ-3UecC
Publication
Note
  • July 21, 1961
  • Contract number AF 49 (638) - 877
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
28 cm.
Dimensions
unknown
Extent
11 pages
File format
one file format
Form of item
online
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Specific material designation
remote
System control number
  • (OCoLC)1103319963
  • (OCoLC)on1103319963

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