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 ...

In statistics, the mode is the most commonly observed value in a set of data. For the normal distribution, the mode is also the same value as the mean and median.

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 ...

A class of statistics is considered, which are based on order-statistics and have properties analogous to Student's t. They can be used to estimate a required quantile of a random variable or to test ...

Circular Statistics and Probability Distributions Publication Trend The graph below shows the total number of publications each year in Circular Statistics and Probability Distributions.

The asymptotic distribution of quadratic forms in uniform order statistics is studied under contiguous alternatives. Using minimal conditions on the sequence of forms, the limiting distribution is ...