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The Lerch zeta-function with algebraic irrational parameter
Lietuvos Matematikos Rinkinys, 2009 In this note, we present probabilisticlimit theorems on the complex plane as well as in functional spaces for the Lerch zeta-function with algebraic irrational parameter.
Danutė Genienė
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Distinguishability of Probability Measures
The Annals of Mathematical Statistics, 1969 Independent identically distributed observations, $X_1, X_2, \cdots$, are taken sequentially. All that is known a priori about their common probability measure, $P$, is that it is a member of a given (at most countable) family, $\pi = \{P_n\}^\infty_{n=1}$, of such measures.
Fisher, Lloyd, Ness, John W. Van
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Geometric Inference for Probability Measures [PDF]
Foundations of Computational Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chazal, Frédéric +2 more
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MATRIX POWER MEANS AND PÓLYA--SZEGÖ TYPE INEQUALITIES [PDF]
Surveys in Mathematics and its Applications, 2020 t has been shown that if μ is a compactly supported probability measure on Mn+, then for every unit vector η∈ℂn, there exists a compactly supported probability measure (denoted by on ℝ+ so that the inequality ≤ Pt() (t∈(0,1]) holds. In particular,
Mohsen Kian , Fatemeh Rashid
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Journal of Logic and Analysis, 2020 The coordinates along any fixed direction(s), of points on the sphere $S^{n-1}(\sqrt{n})$, roughly follow a standard Gaussian distribution as $n$ approaches infinity. We revisit this classical result from a nonstandard analysis perspective, providing a new proof by working with hyperfinite dimensional spheres.
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A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function
Nonlinear Analysis, 2007 In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Laplace transforms of the Riemann zetafunction is obtained.
A. Laurinčikas
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On orthogonal probability measures [PDF]
Proceedings of the American Mathematical Society, 1953 Definitions. Let X be an arbitrary set, f( a Borel-field of some subsets B of X, and W(t) the family of all probability measures defined on C, i.e. the totality of all countably additive, non-negative set functions m(B), B Ez, for which m(X) = 1. Henceforth the word "measure" denotes an element of 2W(1) and the expression "set of measures" a subset of ...
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Вестник Самарского университета: Естественнонаучная серия, 2023 In this short communication we prove that the subspace Pn,n−1(X)of all probability measures P(X), whose supports consist of exactly n points is an (n−1)-dimensional topological manifold.
Mikhail V. Dolgopolov +1 more
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Fractional Probability Measure and Its Properties [PDF]
Journal of Sciences, Islamic Republic of Iran, 2010 Based on recent studies by Guy Jumarie [1] which defines probability density of fractional order and fractional moments by using fractional calculus (fractional derivatives and fractional integration), this study expands the concept of probability ...
H Mostafaee
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A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function
Lietuvos Matematikos Rinkinys, 2007 In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
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