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Lim","submitted_at":"2009-03-30T23:44:54Z","abstract_excerpt":"This paper studies the properties of the probability density function $p_{\\alpha,\\nu, n}(\\mathbf{x})$ of the $n$-variate generalized Linnik distribution whose characteristic function $\\varphi_{\\alpha,\\nu,n}(\\boldsymbol{t})$ is given by \\varphi_{\\alpha,\\nu,n}(\\boldsymbol{t})=\\frac{1} {(1+\\Vert\\boldsymbol{t}\\Vert^{\\alpha})^{\\nu}}, \\alpha\\in (0,2], \\nu>0, \\boldsymbol{t}\\in \\mathbb{R}^n, where $\\Vert\\boldsymbol{t}\\Vert$ is the Euclidean norm of $\\boldsymbol{t}\\in\\mathbb{R}^n$. 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