| N. T. J. Bailey, The Elements of Stochastic Processes, (John Wiley & Sons, New York, |
....1 (t 1) 1 P 0 (t) 1 Gamma p)P 2 (t) 2) PX (t 1) pPX Gamma1 (t) 1 Gamma p)PX 1 (t) 2 X) where PX (t) is the probability to be at position X at time t. We can solve this set of equations for the stationary probability distributions P X by using the trial function P X = Z [6]. The solutions are given as [7] 0 = 2C 0 p (3) X = C 0 ( 1 Gamma p (1 X) 4) where C 0 = 1 Gamma 2p 4p(1 Gamma p) 5) With this solution, we can calculate oe (0) j oe X ( 0) j lim t 1 X (t) as [7] 0) 1 (6) Second, we introduce the effect of a time delay ....
N. T. J. Bailey, The Elements of Stochastic Processes, (John Wiley & Sons, New York,
....cell loss rate (CLR) means constructing stochastic models. Upon examination it becomes obvious that these models are all based on Markov chains that modulate a probability distribution function. A good introduction to Markovian mathematics and stochastic theory in general can be found in Bailey[19] while their appliance to modelling is explored in Maki and Thompson[20] A review of the models used for VBR voice and video services is presented in Saitio[16] A popular model is the Markov Modulated Poisson Process (MMPP) The long tail on the PDF of a Poisson process makes it suitable for ....
N. T. Bailey. The elements of Stochastic Processes. John Wiley & Sons, Inc., 1964.
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N.T. Bailey, The Elements of Stochastic Processes, Wiley, NY, (1964).
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