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A Matrix Variate Skew Distribution

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
Typical multivariate analysis assumes independence among the individual observations as well as elliptical symmetry of distributions. In many situations these assumptions may be too restrictive. This paper studies a class of flexible matrix variate distribution models that can represent both skewed and symmetric distributions which can also account for dependence among individual observations. We derive the moment generating function and study linear and quadratic forms of interest that help understand the properties of these models.
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  • 2
128-140
  • English

REFERENCES

References: 

[1] R.B. Arellano-Valle, H.W. Gomez, and F.A. Quintana. A new class of skew-normal distributions.
Communications in Statistics-Theory and Methods, 33(7):1465–1480, 2004.
[2] J. Armando, G.F. Domínguez-Molina, R. Ramos-Quiroga, and A.K. Gupta. A matrix variate
closed skew-normal distribution with applications to stochastic frontier analysis. Commu-
nications in Statistics - Theory and Methods, 36(9):1691–1703, 2007.
[3] L. Bailey, T.F. Moore, and B.A. Bailar. An interviewer variance study for the eight impact
cities of the national crime survey cities sample. Journal of the American Statistical
Association, 73(1):16–23, 1978.
[4] J.T. Chen and A.K. Gupta. Matrix variate skew normal distributions. Statistics, 39(3):247–
253, 2005.
[5] T.J. DiCiccio and A.C. Monti. Inferential aspects of the skew exponential power distribution.
Journal of American Statistical Association, 99(466):439–450, 2004.
[6] A.K. Gupta and D.K. Nagar. Matrix Variate Distributions. Chapman & Hall/CRC, 2000.
[7] S.W. Harrar and A.K. Gupta. On matrix variate skew-normal distributions. Statistics,
42(2):179–194, 2008.
[8] Y.Y. Ma and M.G. Genton. Flexible class of skew-symmetric distributions. Scandinavian
Journal of Statistics, 31(3):459–468, 2004.
[9] S. Zacks. Parametric Statistical Inference. Pergamon Press, New York, 1981.

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