Global ETD Search
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Showing 1 to 9 of 9 for “"Probability generating function"”.
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Laplace transforms, probabilities and queues.
… interpretation of the Laplace transform of probability density functions (p.d.f.) for waiting times in queues. We interpret the Laplace transform of a p.d.f. as the probability that the corresponding random variable wins a race against (i.e., is less than) an exponential random variable. …
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The Zero-Truncated Poisson-Weighted Exponential Distribution with Applications
… In the first part (the theoretical part), the probability mass function is derived from two methods. Then theoretical properties of the zero-truncated Poisson weighted exponential distribution are discussed: such as probability generating function, moment generating function, characteristic …
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The goodness-of-fit tests for geometric models
… distribution called BGD(B&D), based on their probability generating function (PGF). The first type is a special-case application of the general testing procedure for discrete distributions proposed by Kocherlakota and Kocherlakota (1986). The second type utilizes the supremum of the absolute …
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Numerical methods for multiserver discrete time queues with batch Markovian arrivals
… stable methodology based on eigenanalysis and probability generating function technique has been developed for producing both occupancy and delay moments and distributions for the equilibrium process described above. Feasibility of the methodology is demonstrated through numerical results for …
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Stochastic modelling of gene regulation with microRNAs
… compared to theoretical analysis, such as the Probability Generating Function Approach and the method of matrices developed by Gadgil et al, showing similar results for the magnitude of noise in different systems. The Langevin Equation and Tau-Leaping methods (for which Matlab codes are …
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The moments and distribution for an estimate of the Shannon information measure and its application to ecology
… In obtaining the moments of H̅ was through the probability generating function of the multinomial distribution. A series of rather simple mathematical operations will produce the E(H̅) as an Integral and Var(H̅) as a double Integral. These Integrale are evaluated exactly thus giving the exact …
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Performance analysis of star architecture packet-switched VSAT networks using random code division multiple access
… Each channel was characterized by its bit error probability, and transmits fixed-length packets generated according to a Poisson process in an unslotted environment. Third, we presented a delay analysis of the ALOHA DS-CDMA/TDM channel to determine the total service time of a packet originating …
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A new approach in the transient analysis of ATM multiplexers with bursty sources
… in the derivation of the transient joint probability generating function of the buffer content and the number of active sources. From this, time-dependent performance measures such as mean, variance and distribution of the queue length can be derived. Further, the transient analysis allows …
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Discrete epidemic models with arbitrarily distributed disease stages
… the corresponding R0 values as well as the probability of disease extinction. It is shown analytically that for n=2 the R0 values corresponding to different distributions of T can be ordered based on the probability generating function of T. In addition, numerical simulations are carried out …