Results 61 to 70 of about 166,082,168 (134)
Representing Probability Measures using Probabilistic Processes [PDF]
, 2006 In the Type-2 Theory of Effectivity, one considers representations of topological spaces in which infinite words are used as "names" for the elements they represent.
Schröder , Matthias +3 more
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Weak convergence of convolution products of probability measures on semihypergroups
International Journal of Mathematical Analysis, 2014 Let S be a topological semihypergroup. As it is known for hypergroups, the lack of an algebraic structure on a semihypergroup pause a serious challenge in extending results from semigroups. We use the notion of concretization or pseudomultiplication, to prove some results on weak convergence of the sequence of averages of convolution powers of ...
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Tightness of probability measures and its application in weak convergence.
In stochastic theory, several types of convergence are known, with convergence in dis- tribution being among the most commonly used. This type of convergence is defined via weak convergence, which is the primary focus of this bachelor's thesis.
Sochorová, Hanka
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A Joint Limit Theorem for Epstein and Hurwitz Zeta-Functions
MathematicsIn the paper, we prove a joint limit theorem in terms of the weak convergence of probability measures on C2 defined by means of the Epstein ζ(s;Q) and Hurwitz ζ(s,α) zeta-functions. The limit measure in the theorem is explicitly given.
Hany Gerges +2 more
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Weak convergence of probability measures to Choquet capacity functionals
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In the definition of weak convergence of probability measures, it is assumed that the limit is a probability measure as well. We get rid of this assumption and require that the limit merely needs to be a Choquet-capacity functional. In terms of random variables, this means that the distributional limit no longer is a random point, but a random
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On generalized shifts of the Mellin transform of the Riemann zeta-function
Open MathematicsIn this article, we consider the asymptotic behaviour of the modified Mellin transform Z(s){\mathcal{Z}}\left(s), s=σ+its=\sigma +it, of the Riemann zeta-function using weak convergence of probability measures in the space of analytic functions defined ...
Laurinčikas Antanas +1 more
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On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function
AxiomsIn this paper, the asymptotic behavior of the modified Mellin transform Z2(s), s=σ+it, of the fourth power of the Riemann zeta function is characterized by weak convergence of probability measures in the space of analytic functions.
Virginija Garbaliauskienė +3 more
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Weak convergence of probability measures on the function space C([0, 1]2)
Journal of Multivariate Analysis, 1971 AbstractThe existence of a Gaussian measure W on C([0, 1]2) with EW(x(s1,t1)·x(s2,t2))=min(s1,s2)·min(t1,t2) as its covariance function and an extension of Donsker's theorem for C([0, 1]2) are given.
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Weak convergence and tightness of probability measures in an abstract Skorohod space
, 2019 In this article, we introduce the space $D([0,1];D)$ of functions defined on $[0,1]$ with values in the Skorohod space $D$, which are right-continuous and have left limits with respect to the $J_1$ topology. This space is equipped with the Skorohod-type distance introduced in Whitt (1980).
Balan, Raluca M., Saidani, Becem
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On Discrete Shifts of Some Beurling Zeta Functions
MathematicsWe consider the Beurling zeta function ζP(s), s=σ+it, of the system of generalized prime numbers P with generalized integers m satisfying the condition ∑m⩽x1=ax+O(xδ), a>0, 0⩽δσP with some σP0, there exists a closed non-empty set of analytic functions ...
Antanas Laurinčikas +1 more
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