Probability Theory and Applications: Essays to the Memory of József Mogyoródi

ISBN-13: 9780792319221 / Angielski / Twarda / 1992 / 350 str.

Janos Galambos; J. Galambos; Imre Katai

Opis

"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.

Spis treści

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.