This paper is about Dirichlet averages in the matrix-variate case or averages of functions over the Dirichlet measure in the complex domain. The classical power mean contains the harmonic mean, arithmetic mean and geometric ...

In many cases involving hypothesis testing for parameters in multivariate Gaussian populations and certain other populations, likelihood ratio criteria, or their one-to-one functions, can be expressed in terms of the ...

The main purpose of this paper is to discuss a new lifetime distribution, called the type 1 Topp-Leone generated q-exponential distribution(Type 1 TLqE). Using the quantile approach various distributional properties, ...

Two differential transforms involving the Gauss hypergeometric function in the kernels are consid-ered. They generalize the classical Riemann–Liouville and Erdélyi–Kober fractional differential operators.Formulas of ...

In physics, communication theory, engineering, statistics, and other areas, one of the methods of deriving distributions is the optimization of an appropriate measure of entropy under relevant constraints. In this paper, ...