Modelling expenditure in tourism using the log-skew normal distribution
Current Issues in Tourism, 2021 Many factors are involved in tourist decision expenses. Such circumstances may give rise to some asymmetry in the distribution of tourism expenditure. We propose in this paper a reparameterization of the three-parameter log-skew normal distribution for ...
E. Gómez–Déniz +2 more
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On mixtures of skew normal and skew $$t$$ -distributions [PDF]
Advances in Data Analysis and Classification, 2013 Finite mixture of skew distributions have emerged as an effective tool in modelling heterogeneous data with asymmetric features. With various proposals appearing rapidly in the recent years, which are similar but not identical, the connections between them and their relative performance becomes rather unclear.
Sharon X. Lee, Geoffrey J. McLachlan
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Some properties of the unified skew-normal distribution [PDF]
Statistical Papers, 2020 For the family of multivariate probability distributions variously denoted as unified skew-normal, closed skew-normal and other names, a number of properties are already known, but many others are not, even some basic ones.
R. Arellano-Valle, A. Azzalini
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An Extension of the Truncated-Exponential Skew- Normal Distribution
Mathematics, 2021 In the paper, we present an extension of the truncated-exponential skew-normal (TESN) distribution. This distribution is defined as the quotient of two independent random variables whose distributions are the TESN distribution and the beta distribution ...
Pilar A. Rivera +4 more
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EM algorithm using overparameterization for the multivariate skew-normal distribution
, 2021 A stochastic representation with a latent variable often enables us to make an EM algorithm to obtain the maximum likelihood estimate. The skew-normal distribution has such a simple stochastic representation with a latent variable, and consequently one ...
Toshihiro Abe +3 more
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Geometric skew-Cauchy distribution as an alternative to the skew-normal and geometric skew-normal distributions [PDF]
, 2021 Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2021.The skew-normal distribution was popularised by Azzalini [4] to model skewed data. However, the skew-normal distribution is always unimodal. Kundu [24] recently presented the
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Copulaesque Versions of the Skew-Normal and Skew-Student Distributions [PDF]
Symmetry, 2021 A recent paper presents an extension of the skew-normal distribution which is a copula. Under this model, the standardized marginal distributions are standard normal. The copula itself depends on the familiar skewing construction based on the normal distribution function. This paper is concerned with two topics.
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Diagnostic Analytics for an Autoregressive Model under the Skew-Normal Distribution
Mathematics, 2020 Autoregressive models have played an important role in time series. In this paper, an autoregressive model based on the skew-normal distribution is considered.
Yonghui Liu +4 more
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Some Statistical Aspects of the Truncated Multivariate Skew-t Distribution
Mathematics, 2022 The multivariate skew-t distribution plays an important role in statistics since it combines skewness with heavy tails, a very common feature in real-world data.
Raúl Alejandro Morán-Vásquez +2 more
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Inference and Local Influence Assessment in a Multifactor Skew-Normal Linear Mixed Model
Mathematics, 2022 This work considers a multifactor linear mixed model under heteroscedasticity in random-effect factors and the skew-normal errors for modeling the correlated datasets.
Zeinolabedin Najafi +4 more
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