TY - JOUR
AU - Bayramoğlu, Ismihan
PY - 2022/01/01
Y2 - 2022/09/29
TI - A Note on Fibonacci Sequences of Random Variables
JF - Statistica
JA - Stat
VL - 82
IS - 1
SE - Articles
DO - 10.6092/issn.1973-2201/13354
UR - https://rivista-statistica.unibo.it/article/view/13354
SP - 41-55
AB - 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, ... .
ER -