A Univariate Uniform-Laplace Mixture Distribution
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Authors
Natido, Amos
Issue Date
2019
Type
Thesis
Language
Keywords
Laplace , maximum likelihood , mixture distribution , parameter estimation , symmetrization , uniform
Alternative Title
Abstract
Mixture distribution modeling has a long history in statistical literature and exploding applications in various fields. It is used to model population heterogeneity and for providing a general framework for clustering and classification. Most studied and applied mixture models in statistics are Gaussian mixture models. In this work, we study a univariate uniform-Laplace mixture distribution. We develop its basic theoretical properties and show its equivalence to a symmetrized uniform-exponential mixture distribution. We also investigate parameter estimation connected with the model using maximum likelihood estimation approach.
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License
Creative Commons Attribution-NoDerivatives 4.0 United States