Probability Theory and Applications, Softcover reprint of the original 1st ed. 1992 Essays to the Memory of József Mogyoródi Mathematics and Its Applications Series, Vol. 80

This volume contains twenty-two original contributions by leading scientists in many important areas of probability theory and its applications. The material also includes significant new results. Together this collection of papers provides a good state-of-the-art survey of current research in the following areas: inequalities, limit theorems, renewal theory and reliability theory, characterizations of distributions, infinite divisibility of polynomials of normal variables, limiting distributions for order statistics, stochastic processes, functional equations in engineering model building, and probabilistic number theory.

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.