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＜電子ブック＞
Finite Mixture of Skewed Distributions / by Víctor Hugo Lachos Dávila, Celso Rômulo Barbosa Cabral, Camila Borelli Zeller
(SpringerBriefs in Statistics - ABE. ISSN:25246925)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	X, 101 p. 22 illus., 5 illus. in color : online resource
著者標目	*Lachos Dávila, Víctor Hugo author Cabral, Celso Rômulo Barbosa author Zeller, Camila Borelli author SpringerLink (Online service)
件　名	LCSH:Statistics  LCSH:Biometry LCSH:Mathematical statistics—Data processing FREE:Statistical Theory and Methods FREE:Biostatistics FREE:Statistics and Computing
一般注記	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 guide for researchers analyzing heterogeneous data, as well as a textbook for a graduate-level course in mixture models. The tools presented in the book make complex techniques accessible to applied researchers without the advanced mathematical background and will have broad applications in fields like medicine, biology, engineering, economic, geology and chemistry HTTP:URL=https://doi.org/10.1007/978-3-319-98029-4

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