Results 271 to 280 of about 80,615 (316)

On the asymptotics of degree distributions

2015 54th IEEE Conference on Decision and Control (CDC), 2015
In random graph models, the degree distribution of individual nodes should be contrasted against the degree distribution of the graph, i.e., the usual fractions of nodes with given degrees. We introduce a general framework to discuss conditions under which these two degree distributions coincide asymptotically in large random networks.
Siddharth Pal, Armand M. Makowski
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Asymptotics of Predictive Distributions

2016
Let \((X_n)\) be a sequence of random variables, adapted to a filtration \((\mathcal {G}_n)\), and let \(\mu _n=(1/n)\,\sum _{i=1}^n\delta _{X_i}\) and \(a_n(\cdot )=P(X_{n+1}\in \cdot \mid \mathcal {G}_n)\) be the empirical and the predictive measures. We focus on \(||\mu _n-a_n||=\sup _{B\in \mathcal {D}}\,|\mu _n(B)-a_n(B)|\), where \(\mathcal {D}\)
Patrizia Berti, Luca Pratelli, Pietro Rigo   +2 more
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A Distributional Theory of Asymptotic Expansions

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1990
Abstract We present various techniques for the asymptotic expansions of generalized functions. We show that the moment asymptotic expansions hold for a very wide variety of kernels such as generalized functions of rapid decay and rapid oscillations.
R Estrada, R. P Kanwal
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ASYMPTOTIC DISTRIBUTION OF EIGENVALUES

Mathematics of the USSR-Izvestiya, 1983
The method of a spectral almost-projection is employed to investigate the asymptotic behavior of the eigenvalue distribution functions of semibounded essentially selfadjoint systems of differential operators in a domain and of pseudodifferential operators on Rn.
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S-asymptotic of a distribution

Pliska. Studia Mathematica Bulgarica, 1989
Summary: We give a definition of asymptotic behaviour at infinity of a Schwartz distribution -- the so-called S-asymptotic. Some basic properties of this S-asymptotic are proved and possibilities of its applications are given.
Pilipović, Stevan, Stanković, Bogoljub
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Asymptotic expansions for probability distributions. II

Lithuanian Mathematical Journal, 1983
[For part III see the foregoing review; Zbl 0571.60033.] Let \(\xi\) be a lattice random variable on \(\{\) 0,1,2,...\(\}\) with the probability distribution p(k). It is assumed that the cumulants \(\gamma_{\ell}\) of order \(\ell =1,2,..\). satisfy the conditions: \(\gamma_ 1>0,| \gamma_{\ell}| \leq Hc^{\ell}\ell !/\Delta^{\ell -1}\), \(\ell =2,3,..\).
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The Asymptotic Distribution of Commonality Components

Psychometrika, 1981
Commonality components have been defined as a method of partitioning squared multiple correlations. In this paper, the asymptotic joint distribution of all 2k − 1 squared multiple correlations is derived. The asymptotic joint distribution of linear combinations of squared multiple correlations is obtained as a corollary.
Hedges, Larry V., Olkin, Ingram
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The Asymptotic Distributions of Sums of Records

Extremes, 1999
Let \(X_1,X_2,\dots\) be a sequence of independent identically distributed random variables. Denote by \(X^{(0)}=X_1, X^{(1)}, X^{(2)},\dots \) the associated upper record sequence and take \(T_n=\sum_{j=0}^n X^{(j)}\). The authors describe three cases in which \(T_n\) can be properly normalized to have a nontrivial limit distribution.
Arnold, Barry C., Villaseñor, José A.
openaire   +2 more sources