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Contents: On the Large and Small Increments of Fractional Lvy Brownian Fields; On Oblique Reflecting Switched Diffusion Processes; On the Weak Law of Large Numbers for Weighted Sums of Pairwise Negative Quadrant Dependent Random Variables; The Moduli of Continuity and Large Increments of a Class of Gaussian Processes; Random Walk Tests and Pseudorandom Number Generators; Increments Theory on Gaussian Processes; The Law of Large Numbers for Fuzzy Numbers with Unbounded Supports; On Moduli of Continuity for a Two-Parameter Fractional Lvy Brownian Motion on Rectangles; Total Occupation Times for Symmetric Stable Processes and Gaugeability; A Note on Limit Theorems for the Two-parameter Wiener Process.
This volume investigates advanced topics in stochastic analysis and probability theory. It presents a collection of research papers exploring the behavior of random processes, including fractional L v y Brownian fields, switched diffusion processes, and the laws of large numbers for various types of random variables and fuzzy numbers. The papers utilize rigorous mathematical frameworks to analyze increments, continuity moduli, occupation times, and limit theorems for different classes of stochastic processes.
This collection of research papers is aimed at mathematicians and researchers specializing in probability theory and stochastic analysis. The topics covered suggest a focus on theoretical advancements and rigorous mathematical treatments of complex random phenomena. The depth and specificity of the chapter titles indicate a work intended for an academic audience seeking to engage with current research in the field.
Page Count:
230
Publication Date:
2003-01-01
Publisher:
Nova Publishers
ISBN-10:
159033860X
ISBN-13:
9781590338605
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