December 2012

The moment generating function of the distribution of

  This paper presents a proposed alternative method of expression of joint distribution of powers of two continuous random variables when both powers are necessarily not whole numbers. Hence, in finding the alternative moment generating function (AMGF) of the joint distribution of some functions of a given random variable, it is not necessary to find and use the joint distribution of these functions, it is...

Author(s): Cyprian Anaene Oyeka, Ibeakuzie Precious Onyedikachi, Godday Uwawunkonye Ebuh, Chigozie Edson Utazi, Chinwe Rosemary Nwosu, Happiness Obiora-Ilouno and Christian C. Nwankwo

December 2012

A stochastic knapsack problem with additive model of contagious distribution for the weight

  In this paper, our concern is on modelling a stochastic knapsack problem with the mixture of two known distributions (Gamma and Exponential) using additive form. The behavioural pattern of this mixed distribution is presented graphically and properly examined with different values of the parameters. It was shown that the new distribution is a proper probability density function (PDF) and its mean and variance...

Author(s): Akpan, N. P., Etuk, E. H. and Essi, I. D.

December 2012

Measuring strength of association in repeated samples

  This paper developed a measure of the strength of the association between populations based on ranks appropriate for the analysis of mixed effects model typed data with one observation per cell. We developed a test statistic for the proposed measure. From the result of the analysis, it was observed that  the proposed method is comparable to Kendal’s coefficient of concordance which assume the value...

Author(s): Oyeka I. C. A. and Umeh E. U.