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Asymptotology

About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.


Papers
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Journal ArticleDOI
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

Journal ArticleDOI
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

Book
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


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526