Barakat, H. M.; Nigm, E. M.; Elsawah, A. M. Asymptotic distributions of the generalized and the dual generalized extremal quotient. (English) Zbl 1272.62021 Bull. Malays. Math. Sci. Soc. (2) 36, No. 3, 657-670 (2013). Summary: Necessary and sufficient conditions for the weak convergence of the generalized and the dual generalized extremal quotient are obtained. The class of possible nondegenerate limit distribution functions of quotient of generalized and its dual extreme order statistics is characterized. Some illustrative examples are obtained. Cited in 4 Documents MSC: 62E20 Asymptotic distribution theory in statistics 62G32 Statistics of extreme values; tail inference 62G30 Order statistics; empirical distribution functions 60F05 Central limit and other weak theorems Keywords:weak convergence; generalized order statistics; dual generalized order statistics PDFBibTeX XMLCite \textit{H. M. Barakat} et al., Bull. Malays. Math. Sci. Soc. (2) 36, No. 3, 657--670 (2013; Zbl 1272.62021) Full Text: Link