On the distribution of the general irreversiblen-compartmental model having time-dependent transition probabilities |
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| Authors: | J. O. Epperson J. H. Matis |
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| Affiliation: | (1) Department of Mathematics, U.S. Air Force Academy, 80740 Colorado, USA;(2) Institute of Statistics, Texas A&M University, 77840 College Station, Texas, USA |
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| Abstract: | The cumulant generating function and first two moments are derived for the stochastic distribution of units in a general irreversiblen-compartment model with time-dependent transition probabilities. In this model, a unit in the first compartment can transfer to any one of the remainingn−1 compartments and a unit in the second compartment can transfer to any of the remainingn−2 compartments and so on. In addition, a unit can enter or leave the system through any compartment. The work is related to previous research and a numerical example is given. |
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