On waiting time distribution of runs in a Fibonacci and Lucassequences
Yıl: 2021 Cilt: 0 Sayı: 25 Sayfa Aralığı: 774 - 781 Metin Dili: İngilizce DOI: 10.31590/ejosat.782790 İndeks Tarihi: 05-12-2021
On waiting time distribution of runs in a Fibonacci and Lucassequences
Öz: There is an increasingly needed to development a new mathematical apparatus concerned with the description, prediction, andunderstanding of natural phenomena in a precise manner. The purpose of this study is to extend the mathematical framework ofFibonacci and Lucas sequences for underpinned and establishing a modern mathematical formulas. For this purpose, we deriveanalytical formulas of order k-Fibonacci and order k-Lucas sequences simultaneously based on Bernoulli sequence. Furthermore,exploiting a relationship with the k th order Fibonacci and Lucas sequence, we study the probability distribution function (pdf) of thewaiting time (W (k)).
Anahtar Kelime: Bir Fibonacci ve Lucas dizisinde tekrarların bekleme süresi üzerine
Öz: Doğal fenomenlerin kesin bir manada tanımlanması, öngörülmesi ve anlaşılmasıyla ilgili yeni matematiksel aygıtlar geliştirmeihtiyacı giderek artmaktadır. Bu çalışmanın amacı, Fibonacci ve Lucas dizilerinin matematiksel çerçevesini modern matematikselformüller ile desteklemek amacıyla genişletmektir. Bu amaçla, order-k Fibonacci ve order-k Lucas dizileri ile eş zamanlı olarakBernoulli dizisine dayanarak analitik formüllerin türetilmesi amaçlanmaktadır. Ayrıca, k-yıncı mertebeden Fibonacci ve Lucas dizileriarasındaki bir ilişkiden yararlanarak (W (k)) bekleme süresinin olasılık dağılım fonksiyonu (pdf) çalışılacaktır.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | EDABAA A, BİLGİCİ G (2021). On waiting time distribution of runs in a Fibonacci and Lucassequences. , 774 - 781. 10.31590/ejosat.782790 |
| Chicago | EDABAA ABD ANASIR,BİLGİCİ Göksal On waiting time distribution of runs in a Fibonacci and Lucassequences. (2021): 774 - 781. 10.31590/ejosat.782790 |
| MLA | EDABAA ABD ANASIR,BİLGİCİ Göksal On waiting time distribution of runs in a Fibonacci and Lucassequences. , 2021, ss.774 - 781. 10.31590/ejosat.782790 |
| AMA | EDABAA A,BİLGİCİ G On waiting time distribution of runs in a Fibonacci and Lucassequences. . 2021; 774 - 781. 10.31590/ejosat.782790 |
| Vancouver | EDABAA A,BİLGİCİ G On waiting time distribution of runs in a Fibonacci and Lucassequences. . 2021; 774 - 781. 10.31590/ejosat.782790 |
| IEEE | EDABAA A,BİLGİCİ G "On waiting time distribution of runs in a Fibonacci and Lucassequences." , ss.774 - 781, 2021. 10.31590/ejosat.782790 |
| ISNAD | EDABAA, ABD ANASIR - BİLGİCİ, Göksal. "On waiting time distribution of runs in a Fibonacci and Lucassequences". (2021), 774-781. https://doi.org/10.31590/ejosat.782790 |
| APA | EDABAA A, BİLGİCİ G (2021). On waiting time distribution of runs in a Fibonacci and Lucassequences. Avrupa Bilim ve Teknoloji Dergisi, 0(25), 774 - 781. 10.31590/ejosat.782790 |
| Chicago | EDABAA ABD ANASIR,BİLGİCİ Göksal On waiting time distribution of runs in a Fibonacci and Lucassequences. Avrupa Bilim ve Teknoloji Dergisi 0, no.25 (2021): 774 - 781. 10.31590/ejosat.782790 |
| MLA | EDABAA ABD ANASIR,BİLGİCİ Göksal On waiting time distribution of runs in a Fibonacci and Lucassequences. Avrupa Bilim ve Teknoloji Dergisi, vol.0, no.25, 2021, ss.774 - 781. 10.31590/ejosat.782790 |
| AMA | EDABAA A,BİLGİCİ G On waiting time distribution of runs in a Fibonacci and Lucassequences. Avrupa Bilim ve Teknoloji Dergisi. 2021; 0(25): 774 - 781. 10.31590/ejosat.782790 |
| Vancouver | EDABAA A,BİLGİCİ G On waiting time distribution of runs in a Fibonacci and Lucassequences. Avrupa Bilim ve Teknoloji Dergisi. 2021; 0(25): 774 - 781. 10.31590/ejosat.782790 |
| IEEE | EDABAA A,BİLGİCİ G "On waiting time distribution of runs in a Fibonacci and Lucassequences." Avrupa Bilim ve Teknoloji Dergisi, 0, ss.774 - 781, 2021. 10.31590/ejosat.782790 |
| ISNAD | EDABAA, ABD ANASIR - BİLGİCİ, Göksal. "On waiting time distribution of runs in a Fibonacci and Lucassequences". Avrupa Bilim ve Teknoloji Dergisi 25 (2021), 774-781. https://doi.org/10.31590/ejosat.782790 |
