Results 21 to 30 of about 63,676 (305)
µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces
MathematicsThis paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
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Generalized Limit Theorem for Mellin Transform of the Riemann Zeta-Function
AxiomsIn the paper, we prove a limit theorem in the sense of the weak convergence of probability measures for the modified Mellin transform Z(s), s=σ+it, with fixed 1 ...
Antanas Laurinčikas +1 more
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On convergence of conditional probability measures [PDF]
Kodai Mathematical Journal, 1985 In an information-theoretical framework, the author discusses some relationships between the convergence of probability measures conditioned on sample mean events and certain minimum I-divergences (resp. Kullback- Leibler information numbers) under constraints.
openaire +3 more sources
Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +7 more
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A Discrete Limit Theorem for a Collection of Epstein Zeta-Functions
Jaunųjų Mokslininkų DarbaiIn this paper, the discrete limit theorem of Bohr-Jessen type with an explicitly given limit measure for a collection of Epstein zeta-functions is given. An extra condition is required to specify the form of the limit measure.
Martynas Šiupienis, Renata Macaitienė
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function
Mathematics, 2022 The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė +1 more
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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Convergence of probability measures [PDF]
, 2012 In this thesis we define two most common types of convergence of probability measures and show relations between them. Using examples, we show that our result is sharp.
Starý, Ladislav
core
Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source