Finite Mixture of Skewed Distributions. 1st ed. 2018

種類:

電子ブック

責任表示:

by Víctor Hugo Lachos Dávila, Celso Rômulo Barbosa Cabral, Camila Borelli Zeller

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Lachos Dávila, Víctor Hugo.
• Cabral, Celso Rômulo Barbosa.
• Zeller, Camila Borelli.
• SpringerLink (Online service)

シリーズ名:

SpringerBriefs in Statistics - ABE ;

ISBN:

9783319980294 [3319980297]    

注記:

Chapter 1: Motivation -- Chapter 2: Maximum Likelihood Estimation in Normal Mixtures -- Chapter 3: Scale Mixtures of Skew-normal distributions -- Chapter 4: Univariate mixtures of SMSN distributions -- Chapter 5: Multivariate mixtures of SMSN distributions -- Chapter 6: Mixture of Regression Models.
This book presents recent results in finite mixtures of skewed distributions to prepare readers to undertake mixture models using scale mixtures of skew normal distributions (SMSN). For this purpose, the authors consider maximum likelihood estimation for univariate and multivariate finite mixtures where components are members of the flexible class of SMSN distributions. This subclass includes the entire family of normal independent distributions, also known as scale mixtures of normal distributions (SMN), as well as the skew-normal and skewed versions of some other classical symmetric distributions: the skew-t (ST), the skew-slash (SSL) and the skew-contaminated normal (SCN), for example. These distributions have heavier tails than the typical normal one, and thus they seem to be a reasonable choice for robust inference. The proposed EM-type algorithm and methods are implemented in the R package mixsmsn, highlighting the applicability of the techniques presented in the book. This work is a useful reference gu

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