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Traditionally, the identification of a suitable probability density function is often difficult or time consuming, since many statistical distributions have a limited range of shapes.
Furtherance to the work by Eugene et al. (2002), who proposed and defined the beta-generated class of distributions for a continuous random variable, derived from the logit of the beta random variable, many statistical distributions have been proposed and studied by numerous authors.
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Unlike many standard statistical distributions, GLDs are characterised by inverse quantile functions.
Differently from the situation of statistics in Gaussian sample distributions, many statistical questions in p-generalized Gaussian and more general star-shaped sample distributions cannot yet fully be answered in a theoretical way.
Many statistical tests assume a normal distribution, so we will describe a statistic derived from that distribution.
Many methods have been developed to generate statistical distributions in the literature.
Exact P values for the sign test are based on the Binomial distribution (see Kirkwood [ 1] for a description of how and when the Binomial distribution is used), and many statistical packages provide these directly.
As a consequence, with many journals serving as outlets to research in statistical distributions, there is a greater chance that similar research articles will be published by different journals years after the first article had appeared.
Many radar clutter models have been proposed in terms of distinct statistical distributions; most of which describe the characteristics of clutter amplitude or power.
Many statistical procedures assume that the variables are normally distributed.
Using this strategy, reliable empirical distributions can be obtained in small sample sizes where many statistical models are prone to inflated type I error and/or FDR.
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