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 ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...

Generalized order statistics provide a unifying framework that extends beyond conventional order statistics by encompassing record values, sequential order statistics, and other related types of ...

where \(\mathsf{G}(\cdot)\) is some convex operator and \(\mathcal{F}\) is as set of feasible input distributions. Examples of such an optimization problem include finding capacity in information ...

As with all probability distributions, the Normal Distribution describes how the values of your data are distributed. Subsequently, it is one of the most important probability distributions in ...

In a wide range of scientific disciplines, the observations are that directions have periodic nature measured in degrees or radians. Such data should be analyzed on an angular scale with respect to a ...

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 ...

Csáki and Vincze [2], [3] and Jain [7] derived the distributions of certain rank order statistics by Gnedenko's technique [6] employing random walk with nonindependent steps. Dwass [4] developed an ...