Finite Mixture of Skewed Distributions. ([2018])

• Record Type: Book
• Further Information: Note: Víctor Hugo Lachos Dávila, Celso Rômulo Barbosa Cabral, Camila Borelli Zeller.
• Authors: Dávila, Víctor Hugo Lachos; Cabral, Celso Rômulo Barbosa; Zeller, Camila Borelli
• Contents: Intro; Preface; Contents; 1 Motivation; 2 Maximum Likelihood Estimation in Normal Mixtures; 2.1 EM Algorithm for Finite Mixtures; 2.2 Standard Errors; 3 Scale Mixtures of Skew-Normal Distributions; 3.1 Introduction; 3.2 SMN Distributions; 3.2.1 Examples of SMN Distributions; 3.3 Multivariate SMSN Distributions and Main Results; 3.3.1 Examples of SMSN Distributions; 3.3.2 A Simulation Study; 3.4 Maximum Likelihood Estimation; 3.5 The Observed Information Matrix; 4 Univariate Mixture Modeling Using SMSN Distributions; 4.1 Introduction; 4.2 The Proposed Model 4.2.1 Maximum Likelihood Estimation via EM Algorithm4.2.2 Notes on Implementation; 4.3 The Observed Information Matrix; 4.3.1 The Skew-t Distribution; 4.3.2 The Skew-Slash Distribution; 4.3.3 The Skew-Contaminated Normal Distribution; 4.4 Simulation Studies; 4.4.1 Study 1: Clustering; 4.4.2 Study 2: Asymptotic Properties; 4.4.3 Study 3: Model Selection; 4.5 Application with Real Data; 5 Multivariate Mixture Modeling Using SMSN Distributions; 5.1 Introduction; 5.2 The Proposed Model; 5.2.1 Maximum Likelihood Estimation via EM Algorithm; 5.3 The Observed Information Matrix 5.3.1 The Skew-Normal Distribution5.3.2 The Skew-t Distribution; 5.3.3 The Skew-Slash Distribution; 5.3.4 The Skew-Contaminated Normal Distribution; 5.4 Applications with Simulated and Real Data; 5.4.1 Consistency; 5.4.2 Standard Deviation; Number of Mixture Components; 5.4.3 Model Fit and Clustering; 5.4.4 The Pima Indians Diabetes Data; 5.5 Identifiability and Unboundedness; 6 Mixture Regression Modeling Based on SMSN Distributions; 6.1 Introduction; 6.2 The Proposed Model; 6.2.1 Maximum Likelihood Estimation via EM Algorithm; 6.2.2 Notes on Implementation; 6.3 Simulation Experiments 6.3.1 Experiment 1: Parameter Recovery6.3.2 Experiment 2: Classification; 6.3.3 Experiment 3: Classification; 6.4 Real Dataset; References; Index
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource, illustrations
• Subjects: 519.24; Statistics; Mixture distributions (Probability theory); Mathematical statistics -- Data processing; MATHEMATICS / Applied; MATHEMATICS / Probability & Statistics / General; Mathematical statistics -- Data processing; Mixture distributions (Probability theory); Medical -- Biostatistics; Computers -- Mathematical & Statistical Software; Probability & statistics; Mathematical & statistical software; Mathematical statistics; Mathematics -- Probability & Statistics -- General; Electronic books
• Languages: English
• ISBNs: 9783319980294; 3319980297
• Related ISBNs: 9783319980287; 3319980289
• Notes: Note: Includes bibliographical references and index.; Note: Vendor-supplied metadata.; Note: Online resource; title from PDF title page (EBSCO, viewed November 15, 2018).
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