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Generalized Maxwell distribution is an extension of the classic Maxwelldistribution. In this paper, we concentrate on the joint distributionalasymptotics of normalized maxima and minima. Under optimal normalizingconstants, asymptotic expansions of joint distribution and density fornormalized partial maxima and minima are established. These expansions are usedto educe speeds of convergence of joint distribution and density of normalizedmaxima and minima tending to its corresponding ultimate limits. Numericalanalysis are provided to support our results.

Expansions of maximum and minimum from Generalized Maxwell distribution