Abstract
In this paper we have developed the stochastic transport theory with delayed neutrons. From this theory, the Boltzmann transport equation with delayed neutrons for the average flux emerges in a natural way without recourse to any approximation. We have then obtained from this theory a general expression for the Feynman, Y, function when delayed neutrons are included. At the end, we have developed the single mode approximation for the particular case of a subcritical assembly; and we have shown that our Y function, reduces to the familiar expression quoted in many books when delayed neutrons are not considered, and spatial and source effects are not included.
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