On the probability of reaching a threshold in a stochastic mammillary system
The multivariate distribution over time of a particular stochastic mammillary compartmental model is obtained for any point in time. The maximum expectation of the peripheral compartments is then derived and used to determine lower bounds on the probability that the maximum of the peripheral compartments reaches any arbitrary threshold level. A bound on the probability is illustrated by an example and some of its implications are explored.
KeywordsMaximum Expectation Central Compartment Multinomial Distribution Peripheral Compartment Multivariate Distribution
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