Probability Theory and Applications

Essays to the Memory of József Mogyoródi
Herausgegeben:Galambos, Janos; Kátai, Imre;Mitarbeit:Lakatos, László

• Broschiertes Buch

Produktbeschreibung

"Et moi, ... , si j'avait su comment en revenir, je One service mathematics bas rendered the human race. It bas put common sense back n'y serais point all~.' where it belongs, on the topmost shelf next to lu1esVeme the dusty canister labelled 'discarded nonsense'~ Eric T. Bell 1be series is divergent; therefore we may be able to do something with it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser vice topology has rendered mathematical physics ... '; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d 'etre of this series.

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Produktdetails

• Mathematics and Its Applications 80
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-94-010-5252-8
• Softcover reprint of the original 1st ed. 1992
• Seitenzahl: 372
• Erscheinungstermin: 23. Oktober 2012
• Englisch
• Abmessung: 240mm x 160mm x 21mm
• Gewicht: 594g
• ISBN-13: 9789401052528
• ISBN-10: 9401052522
• Artikelnr.: 39509218

Inhaltsangabe

Random walk processes and their various applications.- Duality of the Burkholder-Davis-Gundy inequality and the generalized Fefferman-Garsia inequality II.- Martingale Hardy spaces with continuous time.- Construction of optimal Hankel approximations in the guise of stochastic processes.- Lévy's random domains on the plain.- On the infinite divisibility of polynomials in infinitely divisible random variables.- Random sample sizes: limit theorems and characterizations.- Aging solutions of certain renewal type equations.- Extensions of some univariate Bonferroni-type inequalities to multivariate setting.- Univariate and multivariate Bonferroni-type inequalities: methods for proof and questions of optimality.- Sharp Bonferroni-type inequalities in explicit forms.- Analytical representation of limit distributions for a class of random symmetric polynomials.- Tail behavior in Wicksell's corpuscle problem.- Universal contractive projections and a.e. convergence.- Pointwise Bahadur-Kiefer-type theorems (I).- Laws of small numbers: some applications to conditional curve estimation.- Design of statistical lifetime models by functional equations.- Another approach to the ergodic distribution in the M/G/ 1 system.- A new method in probabilistic number theory.- Distribution of Q-additive functions.- Number systems and fractal geometry.- On sequences of solid type.- Author Index.