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Paper published in MATHEMATICAL SCIENCES RESEARCH JOURNAL ISSN 1537-5978
This paper proposed a new generalization of family of Sarmanov type Continuous multivariate symmetric probability distributions. More specifically the authors visualize a new generalization of Sam-Solai’s Multivariate Hyperbolic secant distribution from it’s 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 Hyperbolic secant distribution into Multivariate log- Hyperbolic secant. It is found that the conditional variance of Sam-Solai’s Multivariate conditional hyperbolic distribution is heteroskedastic and the correlation co-efficient among the random variables are similar to Pearson’s population product moment correlation. Finally,area values of the Bi-variate Hyperbolic secant distribution are extracted and bi-variate probability surfaces are also visualized.
