‎Normal distribution‎, ‎Comparand Gamma‎ ‎Normal distribution and collates Beta distribution‎

Generalized half-normal distribution: Model and properties

In this article new generalization of half-normal distribution as the half generalized normal distribution is introduced.‎ This distribution, contains the half-normal distribution as special case. ‎We provide mathematical properties of this distribution. We also derive the pdf, cdf, -th moment, the asymmetry and kurtosis coefficients and the moment generating function. We discuss some inferenti...

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

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HYPOTHESIS TESTING FOR AN EXCHANGEABLE NORMAL DISTRIBUTION

Consider an exchangeable normal vector with parameters ????2, and ?. On the basis of a vector observation some tests about these parameters are found and their properties are discussed. A simulation study for these tests and a few nonparametric tests are presented. Some advantages and disadvantages of these tests are discussed and a few applications are given.

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...

Screening for a Multivariate Mixture Normal Distribution

A Two-parameter Balakrishnan Skew-normal Distribution

In this paper, we discuss a generalization of Balakrishnan skew-normal distribution with two parameters that contains the skew-normal, the Balakrishnan skew-normal and the two-parameter generalized skew-normal distributions as special cases. Furthermore, we establish some useful properties and two extensions of this distribution.