Probability Theory and Applications

Probability Theory and Applications : Essays to the Memory of Jozsef Mogyorodi

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"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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Product details

  • Hardback | 350 pages
  • 170 x 244 x 25.65mm | 1,540g
  • Dordrecht, Netherlands
  • English
  • 1992 ed.
  • XVII, 350 p.
  • 0792319222
  • 9780792319221

Table of contents

Preface. Random Walk Processes and Their Various Applications; L. Takacs. Duality of the Burkholder-Davis-Gundy Inequality and the Generalized Fefferman-Garsia Inequality II; N.L. Bassily. Martingale Hardy Spaces with Continuous Time; F. Weisz. Construction of Optimal Hankel Approximations in the Guise of Stochastic Processes; Gy. Michaletzky. Levy's Random Domains on the Plain; M. Arato. On the Infinite Divisibility of Polynomials in Infinitely Divisible Random Variables; V.K. Rohatgi, G.J. Szekely. Random Sample Sizes: Limit Theorems and Characterizations; J. Galabos. Aging Solutions of Certain Renewal Type Equations; A. Kovats, T. Mori. Extensions of Some Univariate Bonferroni-Type Inequalities to Multivariate Setting; J. Galambos, Min-Young Lee. Univariate and Multivariate Bonferroni-Type Inequalities: Methods for Proof and Questions of Optimality; J. Galambos, Yuan Xu. Sharp Bonferroni-Type Inequalities in Explicit Forms; M. Sibuya. Analytical Representation of Limit Distributions for a Class of Random Symmetric Polynomials; L. Szeidl, M. Zolotarev. Tail Behavior in Wicksell's Corpuscle Problem; H. Dress, R.-D. Reiss. Universal Contractive Projections and a.e. Convergence; F. Schipp. Pointwise Bahadur-Kiefer-Type Theorems (I); P. Deheuvels. Laws of Small Numbers: Some Applications to Conditional Curve Estimation; M. Falk, F. Marohn. Design of Statistical Lifetime Models by Functional Equations; E. Castillo, A. Fernandez-Cantelli, R. Ruiz-Cobo. Another Approach to the Ergodic Distribution in the M/G/1 System; L. Lakatos, V. Caericaa. A New Method in Probalistic Number Theory; K.-H. Indlekofer. Distribution of Q-additive Functions; I. Katai. Number Systems and Fractal Geometry; K.-H. Indlekofer, I. Katai, P. Racsko. On Sequences of Solid Type; Z. Daroczy, A. Jarai, T. Szabo. Author Index. Subject Index.
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