We introduce a new distribution useful for positively skewed dataset with heavy tails and refer to it as the “Wright distribution”. Properties involving moments, skewness and kurtosis are studied. Simulation study and derivation of the density function using fractional calculus method are...

The product moments of existing and new noncentral bimatrix variate beta distributions with bounded domain are derived. From these, exact expressions for the distributions of statistics are obtained by using the Mellin transform. These distributions add value to multivariate statistical analysis...

We study the entropy of an N-site Kac ring in a non-equilibrium state. As the system dynamically evolves towards equilibrium and eventually to the initial state exhibiting Poincaré recurrence, we see that the entropy saturates over a period of time which is large for large N. At about the time...

The object of this paper is to present the exact solution of the fractional Cattaneo equation for describing anomalous diffusion. The classical Cattaneo model has been generalised to the space-time fractional Cattaneo model. The method of the joint Laplace and Fourier transform is used in...

In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail of the Maxwell–Boltzmann distribution function were considered in a series of papers by Mathai and Haubold [A.M....

The field theory renormalization group is used for analyzing the fractional Langevin equation with the order of the temporal derivative 0α1, fractional Laplacian of the order σ, and Gaussian noise correlator. The case of non-linearity φm with odd m≥3 is considered. It is proved that the...