Further Applications of Johnson's SU-normal Distribution to Various Regression Models

Linear regression, the normal distribution of error values or normal distribution of the dependent variable?

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On Conditional Applications of Matrix Variate Normal Distribution

In this paper, by conditioning on the matrix variate normal distribution (MVND) the construction of the matrix t-type family is considered, thus providing a new perspective of this family. Some important statistical characteristics are given. The presented t-type family is an extension to the work of Dickey [8]. A Bayes estimator for the column covariance matrix &Sigma of MVND is derived under ...

A Perturbed Half-normal Distribution and Its Applications

In this paper, a new generalization of the half-normal distribution which is called the perturbed half-normal distribution is introduced. The new distribution belongs to a family of distributions which includes the half-normal distribution along with an extra parameter to regulate skewness. The probability density function (pdf) is derived and some various properties of the new distribution are...

Power Normal-Geometric Distribution: Model, Properties and Applications

In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

Two Robust Fuzzy Regression Models and Their Applications in Predicting Imperfections of Cotton Yarn