Number of real roots of a random trigonometric polynomial.
Farahmand, K. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Farahmand, K. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Imrich Komara (1987)
Aplikace matematiky
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An algorithm for the calculation of a lower bound of the absolute values of the roots of a real algebraic polynomial, of an arbitrary degree, is derived. An example is given to compare the bounds calculated by the method proposed and by other methods.
Michael H. Neumann (2013)
ESAIM: Probability and Statistics
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We derive a central limit theorem for triangular arrays of possibly nonstationary random variables satisfying a condition of weak dependence in the sense of Doukhan and Louhichi [84 (1999) 313–342]. The proof uses a new variant of the Lindeberg method: the behavior of the partial sums is compared to that of partial sums of Gaussian random variables. We also discuss a few applications in statistics which show that our central limit theorem is tailor-made for statistics of different type. ...
de Finetti, Bruno (2008)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Adell, José A., Anoz, José M., Lekuona, Alberto (2009)
Journal of Inequalities and Applications [electronic only]
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Hürlimann, Werner (2008)
Boletín de la Asociación Matemática Venezolana
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Uno, Takashi (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Akritas, Alkiviadis, Strzeboński, Adam, Vigklas, Panagiotis (2008)
Serdica Journal of Computing
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In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials...
Bentkus, V., Van Zuijlen, M. (2009)
Journal of Inequalities and Applications [electronic only]
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I. R. Shafarevich (2001)
The Teaching of Mathematics
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