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• W1574107124 abstract "Suppose that a statistic S is asymptotically distributed as a distribution function G(x) as some parameter ϵ→0. We consider monotone transformations of S in order to improve the asymptotic approximation. The transformations proposed here preserve monotonicity and give transformed statistics T(S) whose distribution function is coincident with G(x) up to the order O(ϵr−1). It may be observed that the proposed transformations give a significant improvement to approximations. Further, we shall also consider error bounds for the remainder term of an asymptotic expansion for the distribution of T(S). Finally, some applications of the findings are demonstrated for some test statistics." @default.
• W1574107124 created "2016-06-24" @default.
• W1574107124 creator A5001988364 @default.
• W1574107124 creator A5042488773 @default.
• W1574107124 date "2006-01-01" @default.
• W1574107124 modified "2023-10-04" @default.
• W1574107124 title "Transformations with improved asymptotic approximations and their accuracy" @default.
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• W1574107124 doi "https://doi.org/10.55937/sut/1159987680" @default.
• W1574107124 hasPublicationYear "2006" @default.
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