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Titlebook: Approximation, Probability, and Related Fields; George Anastassiou,Svetlozar T. Rachev Book 1994 Springer Science+Business Media New York

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An Example of Non-Gaussian Density Process,limit of a functional over an infinite system of Brownian particles. We show that with an appropriate time change the process solves a particular stochastic differential equation with non-Gaussian measure, possibly having infinite second moment.
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Preservation of Moduli of Continuity for Bernstein-Type Operators,ates of the form.where ω(.;.) stands for the usual first modulus of continuity of function . and . is a positive constant which depends on the particular family of operations considered, but not upon . nor . and .. They provide the estimate . ≤ 4 in some important examples, such as Bernstein, Szász and Baskakov operators.
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The origin of the solar system, them sharp. Using these inequalities, we are able to produce a great variety of general .. (1≤.≤+∞) analogs, covering most of the expected cases of the convergence of positive linear operators with rates to the unit. In the same inequality we achieve to combine different ..-norms.
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,Festkörperzerstäubung durch Ionenbeschuß,rical integration in arbitrary dimensions which are based on the ideas of multivariate Boolean interpolation. and which extend bi- and trivariate results.’.. A detailed error investigation is presented using Boolean remainder formulas..
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https://doi.org/10.1007/BFb0112070 one message. L(n), the number of slots required to resolve a collision among n users, is a random variable whose asymptotic properties are of considerable interest. Under fairly general conditions, the asymptotic distribution of L(n) is normal. We briefly review the early research on this problem, and then present some newer results.
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