Rainfall is a form of precipitation that occurs when water vapor in the atmosphere condenses into droplets which can no longer be suspended air. Flood as result rainfall overflowing onto land. associated with lot negative consequences on activities man and animals general even threatens their existences. In this study, data obtained occurrence Jos, Plateau State were described. Five theo...

For sequences $\alpha \equiv \{\alpha_n\}_{n=0}^{\infty}$ of positive real numbers, called weights, we study the weighted shift operators $W_{\alpha}$ having property moment infinite divisibility ($\mathcal{MID}$); that is, for any $p > 0$, Schur power $W_{\alpha}^p$ is subnormal. We first prove $\mathcal{MID}$ if and only certain matrices $\log M_{\gamma}(0)$ M_{\gamma}(1)$ are conditionally d...

In this paper, we review and extend a family of log-det divergences for symmetric positive definite (SPD) matrices and discuss their fundamental properties. We show how to generate from parameterized Alpha-Beta (AB) and Gamma log-det divergences many well known divergences, for example, the Stein’s loss, S-divergence, called also Jensen-Bregman LogDet (JBLD) divergence, the Logdet Zero (Bhattac...

This paper considers the effects of placing an absolutely continuous prior distribution on the regression coefficients of a linear model. We show that the posterior expectation is a matrix-shrunken version of the least squares estimate where the shrinkage matrix depends on the derivatives of the prior predictive density of the least squares estimate. The special case of the normal-gamma prior, ...

Existing works on multivariate distributions mainly focus on limited distribution functions and require that the associated marginal distributions belong to the same family. Although this simplifies problems, it may fail to deal with practical cases when the marginal distributions are arbitrary. To this end, copula function is employed since it provides a flexible way in decoupling the marginal...