A Note on Fibonacci Sequences of Random Variables
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Date
2022
Authors
Bayramoglu I.
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Publisher
University of Bologna
Open Access Color
Green Open Access
Yes
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No
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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.
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Keywords
Distribution function, Probability density function, Random variable, Sequence of random variables, FOS: Computer and information sciences, random variable, Statistics - Other Statistics, Other Statistics (stat.OT), Statistics, probability density function, distribution function, sequence of random variables, HA1-4737, Order statistics; empirical distribution functions, Exact distribution theory in statistics, Convergence of probability measures
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WoS Q
Q3
Scopus Q
Q3
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N/A
Source
Statistica
Volume
82
Issue
1
Start Page
41
End Page
55
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checked on Mar 15, 2026
