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https://hdl.handle.net/20.500.14365/3836| Title: | A NOTE ON FIBONACCI SEQUENCES OF RANDOM VARIABLES | Authors: | Bayramoglu I. | Keywords: | Distribution function Probability density function Random variable Sequence of random variables |
Publisher: | University of Bologna | Abstract: | The aim of this paper is to introduce and investigate the new random sequence in the form {X0, X1, Xn = Xn?2 + Xn?1, n = 2, 3, ..}, referred to as Fibonacci Sequence of Random Variables (FSRV). The initial random variables X0 and X1 are assumed to be absolutely continuous with joint probability density function (pdf) fX0,X1. The FSRV is completely determined by X0 and X1 and the members of Fibonacci sequence F ? {0,1,1,2,3,5,8,13,21,34,55,89,144,...}. We examine the distributional and limit properties of the random sequence Xn,n = 0,1,2,... . © 2022 University of Bologna. All rights reserved. | URI: | https://doi.org/10.6092/issn.1973-2201/13354 https://hdl.handle.net/20.500.14365/3836 |
ISSN: | 0390-590X |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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| 2919.pdf Restricted Access | 203.17 kB | Adobe PDF | View/Open Request a copy |
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