Renewal Theory and Geometric Infinite Divisibility
E. Sandhya, R. N. Pillai
TL;DR
This paper explores the application of geometrically infinitely divisible laws in renewal equations and the superposition of renewal processes, providing theoretical insights and examples.
Contribution
It introduces the role of geometrically infinitely divisible laws in renewal theory and superposition, expanding understanding of their applications.
Findings
Identification of key properties of geometrically infinitely divisible laws
Examples illustrating their application in renewal processes
Insights into superposition of renewal processes
Abstract
The role of geometrically infinitely divisible laws in renewal equations and superposition of renewal processes are explored here. Some examples are also discussed.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Advanced Thermodynamics and Statistical Mechanics · Markov Chains and Monte Carlo Methods