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A note on an equivalence between chi-square and generalized skew-normal distributions

Author

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  • Wang, Jiuzhou
  • Boyer, Joseph
  • Genton, Marc G.

Abstract

In this note, we establish an equivalence between chi-square and generalized skew-normal distributions. This result is based on a distributional invariance property of even functions in generalized skew-normal random vectors. It extends the chi-square properties related to univariate and multivariate skew-normal distributions.

Suggested Citation

  • Wang, Jiuzhou & Boyer, Joseph & Genton, Marc G., 2004. "A note on an equivalence between chi-square and generalized skew-normal distributions," Statistics & Probability Letters, Elsevier, vol. 66(4), pages 395-398, March.
    • Handle: RePEc:eee:stapro:v:66:y:2004:i:4:p:395-398
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    Citations

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    Cited by:

    1. Adelchi Azzalini & Marc G. Genton & Bruno Scarpa, 2010. "Invariance-based estimating equations for skew-symmetric distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 275-298.
    2. Reinaldo Arellano-Valle & Marc Genton, 2010. "An invariance property of quadratic forms in random vectors with a selection distribution, with application to sample variogram and covariogram estimators," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(2), pages 363-381, April.
    3. Shushi, Tomer, 2018. "A proof for the existence of multivariate singular generalized skew-elliptical density functions," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 50-55.
    4. Huang, Wen-Jang & Chen, Yan-Hau, 2007. "Generalized skew-Cauchy distribution," Statistics & Probability Letters, Elsevier, vol. 77(11), pages 1137-1147, June.

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