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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.


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Journal ArticleDOI
TL;DR: In this paper, an estimator for regression parameters is studied and consistency and asymptotic normality of the estimator are established both for temporal and for spatial observations in the case of increasing domain.
Abstract: Nonlinear functional errors-in-variables models with error terms satisfying mixing conditions are studied. Both variables X and y are allowed to be vector valued. An estimator for regression parameters is studied. Consistency and asymptotic normality of the estimator are established both for temporal and for spatial observations in the case of increasing domain. Properties of the estimator are studied under infill asymptotics. Simulation results are also presented.

9 citations

Journal ArticleDOI
TL;DR: It is proved that the probability that randomly chosen fourth order type (or type of the order not greater than 4), which admits decidable lambda definability problem, is zero.
Abstract: This paper presents a systematic approach for obtaining results from the area of quantitative investigations in logic and type theory. We investigate the proportion between tautologies (inhabited types) of a given length n against the number of all formulas (types) of length n. We investigate an asymptotic behavior of this fraction. Furthermore, we characterize the relation between number of premises of implicational formula (type) and the asymptotic probability of finding such formula among the all ones. We also deal with a distribution of these asymptotic probabilities. Using the same approach we also prove that the probability that randomly chosen fourth order type (or type of the order not greater than 4), which admits decidable lambda definability problem, is zero.

9 citations

Journal ArticleDOI
TL;DR: In this paper, a one-to-one correspondence between properly defined scaling, the leading light-cone singularity and the asymptotic behavior of the corresponding Jost-Lehmann spectral function in the sense of distribution theory is established.
Abstract: For a local amplitude we prove a one-to-one correspondence between properly defined scaling, the leading light-cone singularity and the asymptotic behaviour of the corresponding Jost-Lehmann spectral function in the sense of distribution theory. The cases of canonical and non-canonical scaling are considered.

9 citations


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