Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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TL;DR: In this article, the Mises functional was extended for the two-sample problem and it was shown that it also has the asymptotic property given by von Mises (1947,Ann. Math. Statist.,18, 309-348) and by Filippova (1962,Theory Prob. Appl.,7, 24-57) in the one-sample case.
Abstract: Mises functional is extended for the two-sample problem. It is shown that the extended Mises functional also has the asymptotic property given by von Mises (1947,Ann. Math. Statist.,18, 309–348) and by Filippova (1962,Theory Prob. Appl.,7, 24–57) in the one-sample case. Asymptotic behavior ofU-statistic in the two-sample case, the statistic of Cramer-von Mises type for testing homogeneity and so forth are investigated as important examples of the theory.
3 citations
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01 Jan 1997
TL;DR: In this article, the concept of local asymptotic efficiency of estimators can be made precise in several ways, e.g., by applying Le Cam's admissibility theorem and Hajek's uniqueness theorem to semiparametric problems.
Abstract: The concept of local asymptotic efficiency of estimators can be made precise in several ways. In semiparametric theory most authors are using local asymptotic minimaxity or asymptotic convolution theorems. We will show how Le Cam’s asymptotic admissibility theorem and Hajek’s asymptotic uniqueness result can be applied to semiparametric problems.
3 citations
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TL;DR: In this article, the asymptotic behavior of solutions of model problems for a coupled system is studied and the stability of the steady-state solutions of the corresponding time-dependent system is discussed.
3 citations