M.Sc. Tezi Görüntüleme

Student: Şenol DEMİR
Supervisor: Yrd. Doç. Dr. Tülay KESEMEN
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: Asymptotic Expansıons For Renewal Reward Process with Pareto Distributed Interference of Chance and Delay
Level: M.Sc.
Acceptance Date: 13/12/2013
Number of Pages: 45
Registration Number: i2712
Summary:

      In this thesis, semi-Markov, a model called as “The renewal reward processes” is considered and the stochastic process expressed by this model is constructed mathematically. Under some weak assumptions, the ergodicity of this process is discussed. Using these results, the asymptotic expansions for the first four moments of the boundary functionals are established as E(ζ_n )→∞ when random variable ζ_n has a Pareto distribution with parameters (α,λ). Finally, the accuracy of the approximation formula is tested by the Monte Carlo simulation method.

      

Key Words: Renewal reward process, Semi-Markov Process, Boundary functional, Ergodicity, Asymptotic expansion, Simulation