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 paper, asymptotic properties of statistics obtained by evaluating some functionals at the empirical distribution function were studied using a functional calculus approach, and the results were applied to robust M-estimation and L -estimation problems.
9 citations
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TL;DR: In this article, four simple examples illustrating varieties of pathological asymptotic behavior are presented, which are based on some recent work on l 1Asymptotics, and have some pedagogical value in clarifying the role of certain standard regularity conditions.
Abstract: Four simple examples illustrating varieties of pathological asymptotic behavior are presented. The examples are based on some recent work on l 1 asymptotics. The examples have some pedagogical value in clarifying the role of certain standard regularity conditions.
9 citations
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TL;DR: The asymptotic behavior at large times for certain dynamical systems arising in the Hamiltonian formulation of classical mechanics is investigated in this paper, where it is shown that for potentials which die out sufficiently fast at large distances, the unbounded states of the system are asyptotically free.
Abstract: The asymptotic behavior at large times for certain dynamical systems arising in the Hamiltonian formulation of classical mechanics is investigated. It is shown that for potentials which die out sufficiently fast at large distances the unbounded states of the system are asymptotically free. This result complements the corresponding result for quantum mechanical systems, and is obtained by analogous methods. In addition, the existence, differentiability, and asymptotic completeness of the associated wave mappings is established under appropriate further assumptions by classical methods.
9 citations
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9 citations