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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10 citations
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TL;DR: In this paper, the authors consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation, and investigate the asymptotic properties of the solutions.
10 citations
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01 Jan 1980TL;DR: In this paper, a certain class of continuous time parameter Markov processes is considered, whose probability law depends on a k-dimensional parameter, and under suitable regularity conditions, several asymptotic results are devived.
Abstract: In this paper, a certain class of continuous time parameter Markov processes is considered, whose probability law depends on a k-dimensional parameter. Then, under suitable regularity conditions, several asymptotic results are devived. These results are sufficient to allow us to draw statistical inferences about the stochastic processes in question.
10 citations
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TL;DR: In this paper, the authors consider a class of non-autonomous, degenerate parabolic equations and study the asymptotic behavior of the solutions. But their results are restricted to the case where the solution depends explicitly upon the time of the equation.
Abstract: We consider a class of non-autonomous, degenerate parabolic equations and we study the asymptotic behaviour of the solutions. Even if the equation depends explicitly upon the time, we prove that several asymptotic properties, valid for the autonomous case, are preserved in this more general situation. To our knowledge, it is the first time that the asymptotic behaviour of solutions to non-autonomous equations is studied.
10 citations
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TL;DR: In this paper, the Stirling series was extended to the Gamma function with shifted argument, which is the generalization of the well-known Stirling Series. But no explicit error bounds exist in the literature for this expansion.
Abstract: In this paper we reconsider the asymptotic expansion of the Gamma function
with shifted argument, which is the generalization of the well-known
Stirling series. To our knowledge, no explicit error bounds exist in the
literature for this expansion. Therefore, the first aim of this paper is to
extend the known error estimates of Stirling’s series to this general case.
The second aim is to give exponentially-improved asymptotics for this
asymptotic series.
10 citations