Bayramoglu I.2023-06-162023-06-1620220390-590Xhttps://doi.org/10.6092/issn.1973-2201/13354https://hdl.handle.net/20.500.14365/3836The 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.eninfo:eu-repo/semantics/closedAccessDistribution functionProbability density functionRandom variableSequence of random variablesArticle10.6092/issn.1973-2201/133542-s2.0-85134713271