30 December 2012

Peer reviewed paper published: A New Generalisation of Sam-Solai’s Multivariate Wigner Distribution of Kind-1 of Type-B

December 30, 2012
Peer reviewed paper published: A New Generalisation of Sam-Solai’s Multivariate Wigner Distribution of Kind-1 of Type-B

Download here full paper: Researchgate

Paper published in International Research Journal of Pure Algebra ISSN: 2248-9037


This paper proposed a new generalization of Sam-Solai’s Multivariate Wigner distribution of kind-1 of Type-B from the univariate case. Further, we find its Cumulation, Marginal, Conditional distributions, Generating functions and also discussed its special case. The special cases include the transformation of Sam-solai’s Multivariate Wigner distribution of Kind-1 of Type-B into Multivariate one parameter Wigner distribution of Kind-1 of Type-B, Multivariate Wigner distribution of Kind-1 of Type-A, Multivariate log-Wigner distribution of Kind-1 of Type-B and Multivariate Inverse -Wigner distribution of Kind-1 of Type-B. It is found that the conditional variance of Sam-Solai’s Multivariate conditional Wigner distribution is heteroscedastic and the correlation was found to be +0.16. Area values of the bi-variate Wigner surface also extracted and bi-variate Wigner surfaces, contours are visualized.

Peer reviewed paper published: A New Generalisation of Sam-Solai’s Multivariate Additive Exponential Distribution

December 30, 2012
Peer reviewed paper published: A New Generalisation of Sam-Solai’s Multivariate Additive Exponential Distribution

Download here full paper: Researchgate


Paper published in International Research Journal of Pure Algebra ISSN: 2248-9037


This paper proposed a new generalization of bounded Continuous multivariate symmetric probability distributions. More specifically the authors visualizes a new generalization of Sam-Solai’s Multivariate additive Exponential distribution from the uni-variate exponential distribution.Further,we find its Marginal, Multivariate Conditional distributions, Multivariate Generating functions, Multivariate survival, hazard functions and also discussed it’s special cases. The special cases includes the transformation of Sam-Solai’s Multivariate additive exponential distribution into Multivariate Inverse exponential distribution, Multivariate Weibull distribution, Multivariate Power law distribution, Multivariate chi-square distribution with two d.f, Multivariate Rayleigh distribution, Multivariate Pareto distribution, Multivariate logistic distribution, Multivariate Generalized extreme value distribution and Multivariate Benktander weibull distribution. Moreover, the bivariate correlation between any two exponential random variables found to be -0.25 and it is independent from the Co-variance. Similarly, we simulated and established a symmetric matrix of Co-variances based on different combinations of values for parameters.