We study the asymptotic covariance function of the sample mean and quantile, and derive a new and surprising characterization of the normal distribution: the asymptotic covariance between the sample ...

Circular statistics is a specialised subfield of statistics that focuses on analysing data points distributed on a circle. Unlike conventional linear statistics, circular data is characterised by ...

The normal distribution (also known as the Gaussian distribution) is arguably the most important distribution in Statistics. It is often used to represent continuous random variables occurring in ...

Slash distributions offer a flexible framework for modelling heavy-tailed phenomena and atypical data behaviour in statistical inference. Originating as a means to construct distributions with high ...

This video describes the central limit theorem and some properties of the normal distribution. Understanding this will help you tie together many of the different types of hypothesis tests and ...

In statistics and financial analysis, a Z score measures how normal any given data point is compared to the average value of the data. Finding Z scores, or standard scores, is relevant to many ...

A bell curve is a graph used to visualize the distribution of a set of chosen values across a specified group that tend to have central, normal values that peak, with low and high extremes tapering ...

When business researchers analyze data, they often rely on assumptions to help make sense of what they find. But like anyone else, they can run into a whole lot of trouble if those assumptions turn ...