Abstract:The inverse Gaussian (IG) is one of the most famous and considered distributions with positive support. We propose a convenient modebased parameterization yielding the reparametrized IG (rIG) distribution; it allows/simplifies the use of the IG distribution in various statistical fields, and we give some examples in nonparametric statistics, robust statistics, and model-based clustering. In nonparametric statistics, we define a smoother based on rIG kernels. By construction, the estimator is well-defined and f… Show more
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