Distributions can be inconsistent and difficult to manipulate to symmetry in large sample tests, choosing appropriate distributions in terms with percentiles that instead thresholds may have been more interesting. [1],[2] . This would be more useful to ascertain two or perhaps more populations in consideration of certain population proportions, checking its hypothesis that their relative percentiles are analogous [3] . Authors focussed on the estimate of alpha towards matching Gamma distributions based on observational evidence. The median test incorporates the induction procedure while the Gamma distribution engages the Laplace transform and makes only a few assertions. The latest abstractions are evaluated and the results derivations, such as those obtained by moment generating functions, convolution and Bayesian interpretation.