Autore: Bayramoglu, Ismihan
Titolo: A Note on Fibonacci Sequences of Random Variables
Periodico: Statistica
Anno: 2022 - Volume: 82 - Fascicolo: 1 - Pagina iniziale: 41 - Pagina finale: 55

The aim of this paper is to introduce and investigate the newrandom 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, ... .


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SICI: 0390-590X(2022)82:1<41:ANOFSO>2.0.ZU;2-H

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