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On The Boundary Functional Of The Random Walk With Two Barriers Related To Optimal Capacity Of The Buffer Stock
(Baku State Univ, Inst Applied Mathematics, 2018)
In this study, a boundary functional (N) of the semi-Markovian random walk (X (t)) with two special barriers is considered. The boundary functional N is defined as the first time when the random walk exits from the interval ...
The Class of L boolean AND D and Its Application to Renewal Reward Process
(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 ...
Asymptotic Rate for Weak Convergence of the Distribution of Renewal-Reward Process with a Generalized Reflecting Barrier
(Springer-Verlag Berlin, 2016)
In this study, a renewal-reward process (X(t)) with a generalized reflecting barrier is constructed mathematically and under some weak conditions, the ergodicity of the process is proved. The explicit form of the ergodic ...