Now showing items 1-5 of 5

    • The Class of L boolean AND D and Its Application to Renewal Reward Process 

      Kamislik, Ash Bektas; Kesemen, Tulay; Khaniyev, Tahir (Amer Inst Physics, 2018)
      The class of L boolean AND D is generated by intersection of two important subclasses of heavy tailed distributions: The long tailed distributions and dominated varying distributions. This class itself is also an important ...
    • Comparison of stochastic and random models for bacterial resistance 

      Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Springer International Publishing Ag, 2017-05)
      In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is ...
    • Deterministic stability and random behavior of a Hepatitis C model 

      Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khanlyev, Tahir (Public Library Science, 2017-07)
      The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales. Random effect is added to the model to investigate the random ...
    • On The Application Of Random Walk With Delay And Pareto Distributed Interference Of Chance To An Insurance Model 

      Kesemen, Tulay; Kucuk, Zafer; Khaniyev, Tahir; Yetim, Fuat; Bektas Kamislik, Ash (Gazi Univ, 2016)
      In this study, a semi-Markovian random walk with Pareto distributed interference of chance and delay is considered. Some exact formulas for the first four stationary moments of the process are obtained when the random ...
    • Some asymptotic results for the semi-Markovian random walk with a special barrier 

      Aliyev, Rovshan; Kesemen, Tulay; Khaniyev, Tahir (ISOSS Publ, 2014-07)
      In this paper, a semi-Markovian random walk with a discrete interference of chance (X(t)) is considered. Under the assumption that the random variables {zeta(n)}, n >= 1 describing discrete interference of chance are in ...