Probability Theory and Applications
Springer (Verlag)
978-0-7923-1922-1 (ISBN)
"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.
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.
| Erscheint lt. Verlag | 31.8.1992 |
|---|---|
| Reihe/Serie | Mathematics and Its Applications ; 80 | Mathematics and Its Applications ; 80 |
| Mitarbeit |
Anpassung von: László Lakatos |
| Zusatzinfo | XVII, 350 p. |
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Maße | 170 x 244 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| ISBN-10 | 0-7923-1922-2 / 0792319222 |
| ISBN-13 | 978-0-7923-1922-1 / 9780792319221 |
| Zustand | Neuware |
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