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$\mu t^{\nu-1} E_{\nu,\nu}(-\mu t^\nu)$ (*)
fits the AR(8) coefficients of the subseries.  The fits are not as clear as the waiting time distribution as the coefficients are noisier.  We take the negative of the AR(8) coefficient fits and add a small constant 0.1 to make the entire graph positive and fit the function (*) and fit reasonably good fits.  Note that (*) happens to be the solution of a time-fractional differential equation of type $D^\nu f(t) = -\mu f(t)$.