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.

30 September 2012

Peer reviewed paper published: A NEW GENERALISATION OF SAM-SOLAI’S MULTIVARIATE ADDITIVE NAGAKAMI-M DISTRIBUTION

September 30, 2012
Peer reviewed paper published: A NEW GENERALISATION OF SAM-SOLAI’S MULTIVARIATE ADDITIVE NAGAKAMI-M 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. In this paper, we visualize a new generalization of Sam-Solai’s Multivariate additive Nagakami-m distribution from the univariate two parameter Nagakami-m distributions. Further, we find its Marginal, Multivariate Conditional distributions, Multivariate Generating functions, Multivariate survival, hazard functions and also discussed its special cases. The special cases includes the transformation of Sam-Solai’s Multivariate additive Nagakami-m distribution into Multivariate additive half normal distribution, Multivariate additive chi-distribution, Multivariate additive Inverse Nagakami-m distribution, Multivariate additive log-Nagakami-m distribution, Multivariate additive Extreme value Nagakami-m distribution, Multivariate additive Gamma distribution, Multivariate additive Chi-square distribution and Multivariate additive Erlang-k distribution. Moreover, it is found that the bivariate correlation between two Nagakami random variables purely depends on the shape parameter and we simulated and established selected standard bivariate Nagakami correlation bounds from 2500 different combinations of values for shape parameter.


01 March 2012

Peer reviewed paper published: A NEW GENERALISATION OF SAM-SOLAI'S MULTIVARIATE ADDITIVE F-DISTRIBUTION OF KIND-2*

March 01, 2012
Peer reviewed paper published: A NEW GENERALISATION OF SAM-SOLAI'S MULTIVARIATE ADDITIVE F-DISTRIBUTION OF KIND-2*

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 additive F- distribution of Kind-2 from the uni-variate case. Further, we find its Marginal, Multivariate Conditional distributions, Multivariate Generating functions, Multivariate survival, hazard functions and also discussed its special cases. The authors derived the generating functions of this distribution in terms of Whittaker-M function and complex Meijer-G function. The special cases includes the transformation of Sam-Solai’s Multivariate additive F- distribution of Kind -2 into Multivariate additive Beta distribution of Kind-1 of Type-B, Multivariate Beta-distribution of Kind-2 of Type-B, Multivariate Fisher’s Z-distribution of Kind-2 and Multivariate Logistic-F distribution of kind-2. Moreover, it is found that the bi-variate correlation between two F- variables purely depends on the d.f and we simulated and established selected standard bi-variate F- correlation bounds from 10,000 different combination of d.f. The simulation results shows, the correlation between any two F- variables bounded from -1 to +1 for certain combination of fractional d.f.

23 January 2012

1st prize for Business quiz event at SASTRA university, Trichy

January 23, 2012
Myself and my quiz partner Siddard won 1st prize for Business quiz event in a Two days national level management meet at SASTRA university, Trichy on a held on 20 & 21st January 2012.