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The mixture of left–right truncated normal distributions
Authors:Joan del Castillo  Jalila Daoudi
Institution:1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Barcelona, Spain;2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Spain
Abstract:This paper introduces the mixture of left–right truncated normal distributions, from the spreads between bid and ask prices, as a statistical model for handle non-normality of asset price returns. It has been proved that there is only one maximum for the likelihood function of the new model.
Keywords:Coefficient of variation  Heavy tailed distributions  Return distributions  Normal inverse Gaussian distribution
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