•一类b *的sam-solai多元wigner分布的新推广

International Research Journal of Pure Algebra Pub Date : 2012-12-19 DOI:10.9790/5728-0153138

G. Jayakumar, A. Solairaju, A. Sulthan

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引用次数: 2

摘要

本文从单变量情况出发，提出了一类b型的Sam-Solai多元Wigner分布的新推广。进一步，我们发现了它的累积、边际、条件分布、生成函数，并讨论了它的特殊情况。特殊情况包括:b型的第1类的Sam-solai多元Wigner分布转化为b型的第1类的多元单参数Wigner分布、a型的第1类的多元Wigner分布、b型的第1类的多元log-Wigner分布和b型的第1类的多元逆-Wigner分布。发现Sam-Solai多元条件Wigner分布的条件方差为异方差，相关系数为+0.16。提取了二维维格纳曲面的面积值，实现了二维维格纳曲面轮廓的可视化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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• A NEW GENERALISATION OF SAM-SOLAI’S MULTIVARIATE WIGNER DISTRIBUTION OF KIND-1 OF TYPE-B*

T his 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.

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