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The Multivariate Split Normal Distribution and Asymmetric Principal Components Analysis

Listed author(s):
  • Villani, Mattias


    (Research Department, Central Bank of Sweden)

  • Larsson, Rolf

    (Department of Information Science, Uppsala University)

The multivariate split nomal distribution extends the usual multivariate normal distribution by a set of parameters which allows for skewness in the form of contraction/dilation along a subset of the prinicpal axis. The paper derives some properties for this distribution, including its moment generating function, multivariate skewness and kurtosis. Maximum likelihood estimation is discussed and a complete Bayesian analysis of the multivariate split normal distribution is developed.

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Paper provided by Sveriges Riksbank (Central Bank of Sweden) in its series Working Paper Series with number 175.

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Length: 25 pages
Date of creation: 01 Dec 2004
Publication status: Forthcoming in Communications in Statistics – Theory and Methods, 2006.
Handle: RePEc:hhs:rbnkwp:0175
Contact details of provider: Postal:
Sveriges Riksbank, SE-103 37 Stockholm, Sweden

Phone: 08 - 787 00 00
Fax: 08-21 05 31
Web page:

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  1. Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-1339, November.
  2. Luc Bauwens & Winfried Pohlmeier & David Veredas, 2006. "Editor’s introduction," Empirical Economics, Springer, vol. 30(4), pages 791-794, January.
  3. Bauwens, Luc & Polasek, Wolfgang & van Dijk, Herman K., 1996. "Editor's introduction," Journal of Econometrics, Elsevier, vol. 75(1), pages 1-5, November.
  4. Kadane, Joseph B. & Chan, Ngai Hang & Wolfson, Lara J., 1996. "Priors for unit root models," Journal of Econometrics, Elsevier, vol. 75(1), pages 99-111, November.
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