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https://hdl.handle.net/20.500.11851/1572| Title: | Three-term asymptotic expansion: A semi-Markovian random walk with a generalized beta distributed interference of chance | Authors: | Kesemen, Tülay Küçük, Zafer Khaniyev, Tahir Öcal, Çisem |
Keywords: | Asymptotic expansions generalized beta distribution semi-Markovian random walk process discrete interference of chance |
Publisher: | Taylor & Francis Inc | Source: | Kesemen, T., Küçük, Z., Khaniyev, T., & Öçal, Ç. (2017). Three-term asymptotic expansion: A semi-Markovian random walk with a generalized beta distributed interference of chance. Communications in Statistics-Theory and Methods, 46(3), 1445-1455. | Abstract: | A semi-Markovian random walk process (X(t)) with a generalized beta distribution of chance is considered. The asymptotic expansions for the first four moments of the ergodic distribution of the process are obtained as E((n)) when the random variable (n) has a generalized beta distribution with parameters (s, S, , ); , > 1,0 s < S < . Finally, the accuracy of the asymptotic expansions is examined by using the Monte Carlo simulation method. [Kesemen, Tuelay; Ocal, Cisem] Karadeniz Tech Univ, Dept Math, Fac Sci, Trabzon, Turkey; [Kucuk, Zafer] Karadeniz Tech Univ, Dept Stat & Comp Sci, Fac Sci, TR-61080 Trabzon, Turkey; [Khaniyev, Tahir] TOBB Univ Econ & Technol, Dept Ind Engn, Ankara, Turkey; [Khaniyev, Tahir] Azerbaijan Natl Acad Sci, Inst Control Syst, Baku, Azerbaijan |
URI: | https://doi.org/10.1080/03610926.2015.1019148 https://hdl.handle.net/20.500.11851/1572 |
ISSN: | 0361-0926 |
| Appears in Collections: | Endüstri Mühendisliği Bölümü / Department of Industrial Engineering Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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