In this article we introduce a new three parameter skewed distribution of which normal distribution is a special case. This distribution is obtained by using geometric sum of independent identically distributed normal random variables. We call this distribution as the geometric skew normal distribution. Different properties of this new distribution have been investigated. The probability densit...

The histograms of user ratings (1F, . . . , 10F) on the Internet Movie Database (IMDb.com) which are in a mature state (more than 20, 000 ratings) seem to follow common rules. All are either double or triple peaked. Moreover, at most one peak can be on the central bins 2F, . . . , 9F and the distribution in these bins looks smooth `Gaussian-like' while changes at the extremes the often look abr...

A recent paper presents an extension of the skew-normal distribution which is a copula. Under this model, standardized marginal distributions are standard normal. The copula itself depends on familiar skewing construction based normal function. This concerned with two topics. First, number extensions Notably these include case in Student’s t, different degrees freedom allowed for each margin. I...

Spatial generalized linear mixed models are common in applied statistics. Most users are satisfied using a Gaussian distribution for the spatial latent variables in this model, but it is unclear whether the Gaussian assumption holds. Wrong Gaussian assumptions cause bias in parameter estimates and affect the accuracy of spatial predictions. Thus, there is a need for more flexible priors for the...

introduction: the frequency of floods is one of the characteristics of river flow statistics so thatanalyzing it has an important role to assess the hydrological and economical water resources projects. for determining flood frequency, the estimation of accurate skewness coefficient of annual peak discharges is required. estimation of population skew for different regions will be improved when ...