Probability Theory and Applications: Essays to the Memory of József Mogyoródi (Mathematics and Its Applications, 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. Front Matter....Pages i-xvii Random Walk Processes and their Various Applications....Pages 1-32 Duality of the Burkholder-Davis-Gundy Inequality and the Generalized Fefferman-Garsia Inequality II.....Pages 33-45 Martingale Hardy Spaces with Continuous Time....Pages 47-75 Construction of Optimal Hankel Approximations in the Guise of Stochastic Processes....Pages 77-98 Lévy’s Random Domains on the Plain....Pages 99-102 On the Infinite Divisibility of Polynomials in Infinitely Divisible Random Variables....Pages 103-106 Random Sample Sizes: Limit Theorems and Characterizations....Pages 107-123 Aging Solutions of Certain Renewal Type Equations....Pages 125-141 Extensions of Some Univariate Bonferroni-Type Inequalities to Multivariate Setting....Pages 143-154 Univariate and Multivariate Bonferroni-Type Inequalities: Methods for Proof and Questions of Optimality....Pages 155-164 Sharp Bonferroni-Type Inequalities in Explicit Forms....Pages 165-194 Analytical Representation of Limit Distributions for a Class of Random Symmetric Polynomials....Pages 195-203 Tail Behavior in Wicksell’s Corpuscle Problem....Pages 205-220 Universal Contractive Projections and A.E. Convergence....Pages 221-233 Pointwise Bahadur-Kiefer-Type Theorems (I)....Pages 235-255 Laws of Small Numbers: Some Applications to Conditional Curve Estimation....Pages 257-278 Design of Statistical Lifetime Models by Functional Equations....Pages 279-287 Another Approach to the Ergodic Distribution in the M/G/ 1 System....Pages 289-298 A New Method in Probabilistic Number Theory....Pages 299-308 Distribution of Q -Additive Function....Pages 309-318 Number Systems and Fractal Geometry....Pages 319-334 On Sequences of Solid Type....Pages 335-342 Back Matter....Pages 343-350