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A Single Compartment Quantal Response Model with a Renewal Type Input Process and IID Releases
Authors:Wen-Jang Huang  Mong-Na Lo Huang
Abstract:We deal with a single compartment quantal response model, where unlike the previous models, which do not have any input after the administration of a single dose Z(0)=z at time t=0, we allow inputs of doses after time t=0. More precisely, the system uses the (s, S) input policy as in inventory models, and has IID releases. Also when the amount of dose in the subject reaches 0, there is a probability p to stop having input thereafter. Among other results, the probability that the subject never responds and the expressions for some quantities of interest are obtained.
Keywords:Compartment models  Quantal response processes  Inventory models  Renewal processes  Waiting times
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