• Corpus ID: 233481929

Generalizing the normality: a novel towards different estimation methods for skewed information

  title={Generalizing the normality: a novel towards different estimation methods for skewed information},
  author={Diego Carvalho do Nascimento and Pedro Luiz Ramos and David Elal-Olivero and Milton Cortes-Araya and Francisco Louzada},
Normality is the most often mathematical supposition used in data modeling. Nonetheless, even based on the law of large numbers (LLN), normality is a strong presumption given that the presence of asymmetry and multi-modality in real-world problems is expected. Thus, a flexible modification in the Normal distribution proposed by Elal-Olivero [12] adds a skewness parameter, called Alpha-skew Normal (ASN) distribution, enabling bimodality and fat-tail, if needed, although sometimes not trivial to… 
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The Multivariate Alpha Skew Gaussian Distribution

  • Anderson AraF. Louzada
  • Mathematics, Computer Science
    Bulletin of the Brazilian Mathematical Society, New Series
  • 2019
A new class of probability distributions, so called multivariate alpha skew normal distribution, which can accommodate up to two modes and generalizes the distribution proposed by Elal-Olivero in its marginal components is proposed.