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The Multivariate Split Normal Distribution and Asymmetric Principal Components Analysis

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Author Info

  • Villani, Mattias

    ()
    (Research Department, Central Bank of Sweden)

  • Larsson, Rolf

    (Department of Information Science, Uppsala University)

Abstract

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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Bibliographic Info

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
Date of revision:
Publication status: Forthcoming in Communications in Statistics – Theory and Methods, 2006.
Handle: RePEc:hhs:rbnkwp:0175

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Postal: Sveriges Riksbank, SE-103 37 Stockholm, Sweden
Phone: 08 - 787 00 00
Fax: 08-21 05 31
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Web page: http://www.riksbank.com/
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Related research

Keywords: Bayesian inference; Elicitation; Estimation; Maximum likelihood; Multivariate analysis; Skewness;

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  1. Bauwens, Luc & Polasek, Wolfgang & van Dijk, Herman K., 1996. "Editor's introduction," Journal of Econometrics, Elsevier, vol. 75(1), pages 1-5, November.
  2. Luc Bauwens & Winfried Pohlmeier & David Veredas, 2006. "Editor’s introduction," Empirical Economics, Springer, vol. 30(4), pages 791-794, January.
  3. 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.
  4. Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-39, November.
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Cited by:
  1. Maximiano Pinheiro & Paulo Soares Esteves, 2008. "On the uncertainty and risks of macroeconomic forecasts: Combining judgements with sample and model information," Working Papers w200821, Banco de Portugal, Economics and Research Department.
  2. Maximiano Pinheiro, 2010. "Marginal Distributions of Random Vectors Generated by Affine Transformations of Independent Two-Piece Normal Variables," Working Papers w201013, Banco de Portugal, Economics and Research Department.

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