A two-state model of simple reaction time

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meet rather complex situation, where we must investigate many
situations, each of which corresponds to each combination of
the ranges of values of the parameters, TO' 6;, t and 1\., of the
functions, D(x) and R(x). The forms of D(x) and R(x) are
natural approximations to the real ones. Densities of D(x) and
R(x) are concentrated on rather restricted ranges, which are s-ome
distant from the origin O. The forms of D(x) and R(x) are
very simple, so the programming and calculation by computer
of these functions is very easy.
But, computer calculations leave some dissatisfaction.
We can see only the narrow range of the behaviors of the model
which were simulated& The other part of the range of the behaviors
which have not yet simulated is unknown until it is calculatedo
In the following part of this chapter, in order to analyze
the model mathematically, we make the forms of D(x) and R(x)
mathematically analyzable ones.
Assumption 3-2.
-J.x.
D(x, 6 ) ::: 1 - e
where d is a decreasing function, g(T O )' of TO·