A Flexible Class of Skew Logistic Distribution

A Flexible Skew-Generalized Normal Distribution

 In this paper, we consider a flexible skew-generalized normal distribution. This distribution is denoted by $FSGN(/lambda _1, /lambda _2 /theta)$. It contains the normal, skew-normal (Azzalini, 1985), skew generalized normal (Arellano-Valle et al., 2004) and skew flexible-normal (Gomez et al., 2011) distributions as special cases. Some important properties of this distribution are establi...

A Generalized Skew Logistic Distribution

• In this paper, we introduce a generalized skew logistic distribution that contains the usual skew logistic distribution as a special case. Several mathematical properties of the distribution are discussed like the cumulative distribution function and moments. Furthermore, estimation using the method of maximum likelihood and the Fisher information matrix are investigated. Two real data applic...

Flexible Class of Skew-Symmetric Distributions

We propose a flexible class of skew-symmetric distributions for which the probability density function has the form of a product of a symmetric density and a skewing function. By constructing an enumerable dense subset of skewing functions on a compact set, we are able to consider a family of distributions, which can capture skewness, heavy tails and multimodality systematically. We present thr...

Applications of Skew Models Using Generalized Logistic Distribution

1 Department of Statistics and Applied Mathematics, Federal University of Ceara, Fortaleza, CE 60020-181, Brazil 2 DICRE, Credit Risk Management, Bank of Brazil—BB, Brasilia 70073-901, Brazil; [email protected] 3 Department of Statistics, University of Brasilia, Brasilia 70910-900, Brazil; [email protected] * Correspondence: [email protected]; Tel.: +55-85-3366-9447 † These ...

A Flexible Class of Skew - Symmetri Distributions ( running head : exible skew - symmetri distributions )

A Two-parameter Generalized Skew-Cauchy Distribution

In this paper, we discuss a new generalization of univariate skew-Cauchy distribution with two parameters, we denoted this by GSC(&lambda1, &lambda2), that it has more flexible than the skew-Cauchy distribution (denoted by SC(&lambda)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this distribution and by two numerical example, show that GSC(&lambd...