Year: 2025
Type: article
Abstract: One very spesific case of linear second-order autoregressive sequence of random variables, the so-called stochastic Fibonacci sequence, is considered. For a random series, whose terms are properly normed partial sums of elements of the Fibonacci sequence, we study assumptions which garantee almost sure convergence of the introduced series. Obtained result is quite simple and understandable. In partcular, it implies that the Strong Law of Large Numbers for the Fibonacci sequence holds true.
Authors: Ільєнко, М. К., Руновська, Л. А.
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117347348
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