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On skew-elliptical distribution with novel applications

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In this dissertation, we will explore the Skew-elliptical distribution in a LCLC (linear constraint and linear combination) way. Their applications will be conducted in the following chapters. Chapter 2 is on random effects modeling in multilevel binomial regression model, Chapter 3 is on theoretical Skew-elliptical distribution construction, Chapter 4 is on variable selection for multilevel Poisson model with missing data, Chapter 5 is on skew prior elicitation. ^

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