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

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Content:
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
L?vy’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

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Content:
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
L?vy’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
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