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Shape Mixture Models Based on Multivariate Extended Skew Normal Distributions

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Predictive Econometrics and Big Data (TES 2018)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 753))

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Abstract

In this paper, the class of the shape mixtures of extended skew normal distributions is introduced. The posterior distributions for the shaped parameters are obtained. The moment generating functions for the posterior distributions of the shaped parameters are discussed. Also Bayesian analysis for this shape mixture model is studied.

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Acknowledgement

The authors thank Professor Vladik Kreinovich for valuable suggestions that helped improve this article. The research of Weizhong Tian was partially supported by Internal Grants from Eastern New Mexico University and Funds from One Hundred Person Project of Shaanxi Province of China.

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Authors and Affiliations

  1. School of Science, Xian University of Technology, Xi’an, 710054, China

    Weizhong Tian

  2. Department of Mathematical Sciences, Eastern New Mexico University, Portales, NM, 88130, USA

    Weizhong Tian

  3. Department of Mathematical Sciences, New Mexico State University, Las Cruces, 88003, USA

    Tonghui Wang

  4. Department of Mathematics, University of West Georgia, Carrollton, GA, 30018, USA

    Fengrong Wei

  5. School of Science, Xian University of Technology, Xi’an, 710054, China

    Fang Dai

Authors
  1. Weizhong Tian
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  2. Tonghui Wang
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  3. Fengrong Wei
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  4. Fang Dai
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Corresponding author

Correspondence to Tonghui Wang .

Editor information

Editors and Affiliations

  1. Computer Science Department, University of Texas at El Paso, El Paso, Texas, USA

    Vladik Kreinovich

  2. International College, Chiang Mai University, Chiang Mai, Thailand

    Songsak Sriboonchitta

  3. International College, Chiang Mai University, Chiang Mai, Thailand

    Nopasit Chakpitak

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Tian, W., Wang, T., Wei, F., Dai, F. (2018). Shape Mixture Models Based on Multivariate Extended Skew Normal Distributions. In: Kreinovich, V., Sriboonchitta, S., Chakpitak, N. (eds) Predictive Econometrics and Big Data. TES 2018. Studies in Computational Intelligence, vol 753. Springer, Cham. https://doi.org/10.1007/978-3-319-70942-0_20

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  • DOI: https://doi.org/10.1007/978-3-319-70942-0_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70941-3

  • Online ISBN: 978-3-319-70942-0

  • eBook Packages: EngineeringEngineering (R0)

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