Consider the attached scaled gamma function, where A represents the max amplitude, a and tau are respectively the shape and the rate parameter. t is time.
. . . . .\(\displaystyle E\left[X_a (t)\right]\, =\, A\, \cdot\, e^{-t\, /\, \tau}\, \cdot\, \left[\, \dfrac{t\, \cdot\, e}{(a\, -\, 1)\, \cdot\, \tau}\, \right]^{a\, -\, 1}\)
I need to determine the latency of the inflexion point that occurs after A. Any idea?
. . . . .\(\displaystyle E\left[X_a (t)\right]\, =\, A\, \cdot\, e^{-t\, /\, \tau}\, \cdot\, \left[\, \dfrac{t\, \cdot\, e}{(a\, -\, 1)\, \cdot\, \tau}\, \right]^{a\, -\, 1}\)
I need to determine the latency of the inflexion point that occurs after A. Any idea?
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