On independent sets in purely atomic probability spaces with geometric distribution
Eugen J. Ionascu, Alin A. Stancu
TL;DR
This paper explores the construction of independent events within purely atomic probability spaces that follow a geometric distribution, demonstrating the existence of uncountably many such independent event sequences.
Contribution
It provides a novel construction of independent events in geometric probability spaces and proves the uncountability of these sequences.
Findings
Existence of uncountably many independent event sequences
Construction methods for independent events in geometric spaces
Insights into the structure of atomic probability spaces
Abstract
We are interested in constructing concrete independent events in purely atomic probability spaces with geometric distribution. Among other facts we prove that there are uncountable many sequences of independent events.
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Taxonomy
TopicsStochastic processes and financial applications · advanced mathematical theories · Advanced Topology and Set Theory