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Tail behavior of the generalized Maxwell distribution

Abstract In this article, we investigate the tail propertiesof the generalized Maxwell distribution and gain an asymptoticbehavior of its Mills-type ratio. Meanwhile, we show two applications. The first application thinks about the asymptotic property of the ratio of density functions and the ratio of the tails of the generalized Maxwell and classical Maxwell distributions. Another application obtains the asymptotic distribution of the partial maximum of an independent and identically distributed sequence from the distribution.