We propose a definition of a multivariate Linnik distribution based upon closure under geometric compounding. The characteristic function of the multivariate Linnik model is 1/(1 + ([summation operator]mi = 1s'[Omega]is)[alpha]/2, where 0 [alpha] [less-than-or-equals, slant] 2, the [Omega]i's...

This paper develops a statistical representation of the process of estimating the number of radioactive atoms in a sample of gas. The modeled process is composed of three steps: air sampling, gas separations and acquisition of a radioactive spectrum. The statistical representation of these...