A Note on Fibonacci Sequences of Random Variables
| dc.contributor.author | Bayramoglu I. | |
| dc.date.accessioned | 2023-06-16T15:04:31Z | |
| dc.date.available | 2023-06-16T15:04:31Z | |
| dc.date.issued | 2022 | |
| dc.description.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. | en_US |
| dc.description.sponsorship | The author thanks the anonymous reviewer for valuable comments and suggestions that led to improvements in the paper. | en_US |
| dc.identifier.doi | 10.6092/issn.1973-2201/13354 | |
| dc.identifier.issn | 0390-590X | |
| dc.identifier.scopus | 2-s2.0-85134713271 | |
| dc.identifier.uri | https://doi.org/10.6092/issn.1973-2201/13354 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/3836 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Bologna | en_US |
| dc.relation.ispartof | Statistica | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Distribution function | en_US |
| dc.subject | Probability density function | en_US |
| dc.subject | Random variable | en_US |
| dc.subject | Sequence of random variables | en_US |
| dc.title | A Note on Fibonacci Sequences of Random Variables | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 57205586773 | |
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| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.departmenttemp | Bayramoglu, I., Department of Mathematics, Izmir University of Economics, Izmir, Turkey | en_US |
| gdc.description.endpage | 55 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 41 | en_US |
| gdc.description.volume | 82 | en_US |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000826866700003 | |
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| gdc.index.type | Scopus | |
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| gdc.oaire.keywords | FOS: Computer and information sciences | |
| gdc.oaire.keywords | random variable | |
| gdc.oaire.keywords | Statistics - Other Statistics | |
| gdc.oaire.keywords | Other Statistics (stat.OT) | |
| gdc.oaire.keywords | Statistics | |
| gdc.oaire.keywords | probability density function | |
| gdc.oaire.keywords | distribution function | |
| gdc.oaire.keywords | sequence of random variables | |
| gdc.oaire.keywords | HA1-4737 | |
| gdc.oaire.keywords | Order statistics; empirical distribution functions | |
| gdc.oaire.keywords | Exact distribution theory in statistics | |
| gdc.oaire.keywords | Convergence of probability measures | |
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| gdc.virtual.author | Bayramoğlu, İsmihan | |
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