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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26 citations
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TL;DR: This paper considers estimates of law-invariant or version-independent coherent risk or acceptability functionals based on the empirical distribution function and investigates their asymptotic properties.
Abstract: Law-invariant or version-independent coherent risk or acceptability functionals do not explicitly depend on the underlying probability space and can be considered as functionals of the distribution function. In this paper, we consider estimates of these functionals based on the empirical distribution function and investigate their asymptotic properties.
26 citations
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TL;DR: In this article, the authors considered the Euler-Maxwell equations for plasmas with small parameters and showed the existence and uniqueness of an asymptotic expansion up to any order.
Abstract: This work is concerned with the two-fluid
Euler-Maxwell equations for plasmas with small parameters. We study,
by means of asymptotic expansions, the zero-relaxation limit, the
non-relativistic limit and the combined non-relativistic and quasi-neutral
limit. For each limit with well-prepared initial data, we show the
existence and uniqueness of an asymptotic expansion up to any order. For
general data, an asymptotic expansion up to order 1 of the
non-relativistic limit is constructed by taking into account the initial
layers. Finally, we discuss the justification of the limits.
26 citations
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26 citations
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01 Jul 1993
TL;DR: Probability and measure random variables and distributions in statistics concepts of asymptotic convergence further asymPTotic theory with applications in regression likelihood and associated concepts of maximum likelihood, metric spaces and stochastic processes Brownian motion and weak convergence applications of dependent random variables as mentioned in this paper.
Abstract: Probability and measure random variables and distributions in statistics concepts of asymptotic convergence further asymptotic theory with applications in regression likelihood and associated concepts maximum likelihood and asymptotic theory metric spaces and stochastic processes Brownian motion and weak convergence applications of weak convergence dependent random variables and mixing dependent sequences and martingales.
26 citations